2016940545An Approximate Method for the Evaluation of the Normal Force Acting on a Flexible Plate Normal to the Wind Flow22The purpose of this paper is to develop an approximate method for the evaluation of the normal force acting on a flexible plate normal to the wind flow and the deformation of the plate. A theoretical modelling is firstly proposed to predict the relationship between the normal drag coefficient of a rigid curved-plate and the configuration of the plate with the aid of a series of numerical analyses of structure and fluid dynamics. Then, based on the theoretical modelling, an approximate method for the evaluation of the normal force acting on the plate and the deformation of the plate is constructed using only the iteration of structure mechanics analysis, instead of conventional complex iterations of fluid-structure coupling analysis. Simulation tests for 3D flexible plates with different lengths and different material moduli are conducted. Also a comparative simulation test of a 3D flexible plate used in a previous experiment is performed to further confirm the validity and accuracy of the approximate method. Numerical results obtained from the approximate method agree well with those obtained from the fluid dynamics analysis as well as the results of the previous wind tunnel experiment.15591568J. F.HuDepartment of Aeronautics and Astronautics, Engineering School, Kyushu University, Fukuoka City, Fukuoka, 819-0395, JapanDepartment of Aeronautics and Astronautics, Engineering School, Kyushu University, Fukuoka City, Fukuoka, 819-0395, Japanpayshu-junfeng@riam.kyushu-u.ac.jpW. X.WangResearch Institute for Applied Mechanics, Kyushu University, Kasuga, Fukuoka, 816-8580, JapanResearch Institute for Applied Mechanics, Kyushu University, Kasuga, Fukuoka, 816-8580, Japanpaysbungaku@riam.kyushu-u.ac.jpWind flow Flexible plate Fluid-structure interaction Normal force Approximate method.[Alben, S., M. Shelley and J. Zhang (2002). Drag
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Applied Mathematics 6(1), 104-113.##]Observational and Numerical Methods for Quantifying and Modeling of Turbulence in a Stratified Reservoir22The interplay between stratification and shear in lakes controls the vertical mixing, which is the most important mechanism affecting the transport of heat, salt, momentum and suspended and dissolved substances. This study attempts to quantify and characterize the turbulence from direct measurements conducted in a reservoir. A 3D numerical model is used to investigate the water column hydrodynamics for the duration of measurements and the performance of various turbulence models used in the CFD model are investigated via simulation of mixing in the reservoir. The drawdown curves produced by the turbulence models are formulized through linear equations. Although, use of different turbulence models do not have significant effects on the flow hydrodynamics away from the intake structure; significant effects especially on turbulence kinetic energy production are observed at the orifice. Therefore, for simulation of withdrawal flow, either use of shear stress transport (SST) k-omega models solving equations all the way to the wall or k-epsilon models with the nonequilibrium wall function is recommended to account for the changes in the pressure gradient. In this study, the methods using quantified turbulent characteristics of the flow to reformulate the Stokes’ settling velocity to be applied in turbulent flows are also investigated. An approach to predict setting velocity in turbulent flows that utilizes acoustic Doppler instruments for quantification of turbulent characteristics is presented. Modification of the Stokes’ settling velocity with the nondimensionalized turbulent kinetic energy production profiles lead better results than other turbulence characteristics (buoyancy flux and by Richardson number flux) widely used in characterizing turbulent mixing.
16031614S.ElciDepartment of Civil Engineering, Izmir Institute of Technology, Izmir, Turkey,Department of Civil Engineering, Izmir Institute of Technology, Izmir, Turkey,payssebnemelci@iyte.edu.trB.EkmekçiDepartment of Civil Engineering, Izmir Institute of Technology, Izmir, Turkey,Department of Civil Engineering, Izmir Institute of Technology, Izmir, Turkey,payshuseyinekmekci@iyte.edu.trVertical mixing Stratified reservoirs Turbulent mixing Turbulence models Settling velocities.[Bohan, J. P. and J. L. Grace, Selective Withdrawal
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practice, McGraw- Hill, New York.##]Peristaltic Flow of Phan-Thien-Tanner Fluid in an Asymmetric Channel with Porous Medium22This paper deals with peristaltic transport of Phan-Thien-Tanner fluid in an asymmetric channel induced by sinusoidal peristaltic waves traveling down the flexible walls of the channel. The flow is investigated in a wave frame of reference moving with the velocity of the waveby using the long wavelength and low Reynolds number approximations.The nonlinear governing equations are solved employing a perturbation method by choosing as the perturbation parameter. The expressions for velocity, stream function and pressure gradient are obtained. The features of the flow characteristics are analyzed through graphs and the obtained results are discussed in detail. It is noticed that the peristaltic pumping gets reduced due to an increase in the phase difference of the traveling waves. It is also observed that the size of the trapping bolus is a decreasing function of the permeability parameter and the Weissenberg number. Furthermore, the results obtained for the flow characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid phenomena, especially the Peristaltic flow phenomena.16151625K.VajraveluDepartment of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, Florida 32816 - 1364, USADepartment of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, Florida 32816 - 1364, USApayskuppalapalle.vajravelu@ucf.eduS.SreenadhDepartment of Mathematics, Sri Venkateswara University, Tirupati 517 502, IndiaDepartment of Mathematics, Sri Venkateswara University, Tirupati 517 502, Indiapaysdrsreenadh@yahoo.co.inP.LakshminarayanaDepartment of Mathematics, Sree Vidyanikethan Engineering College, Tirupati 517 102, IndiaDepartment of Mathematics, Sree Vidyanikethan Engineering College, Tirupati 517 102, Indiapayslaxminarayana.pallava@gmail.comG.SucharithaDepartment of Mathematics, Sree Vidyanikethan Engineering College, Tirupati 517 102, IndiaDepartment of Mathematics, Sree Vidyanikethan Engineering College, Tirupati 517 102, Indiapaysreenadh@yahoo.co.inM. M.RashidiShanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Address: 4800 Cao, ChinaShanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Address: 4800 Cao, Chinapaysmm_rashidi@yahoo.comTrapping phenomena Peristaltic transport Phan-thien-tanner fluid Porous medium Asymmetric channel.[Agoor, B. M. and N. T. M. Eldabe (2014).Rayleigh-
Taylor instability at the interface of superposed
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Turbomachinery 114, 569-579.##]Blasius Problem with Generalized Surface Slip Velocity22This paper considers the classical problem of the steady boundary layer flow past a semi-infinite flat plate first considered by Blasius in 1908 with generalized surface slip velocity. Numerical solutions are obtained by solving the nonlinear similarity equation using the bvp4c function from MATLAB for several values of the slip parameters.16411644T.GrosanDepartment of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaDepartment of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romaniapaystgrosan@math.ubbcluj.roC.RevnicFaculty of Pharmacy, University of Medicine and Pharmacy, Cluj-Napoca, RomaniaFaculty of Pharmacy, University of Medicine and Pharmacy, Cluj-Napoca, Romaniapayscornelia.revnic@umfcluj.roI.PopDepartment of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaDepartment of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romaniapayspopm.ioan@yahoo.co.ukBlasius problem Generalized slip velocity Numerical results.[Aziz, A. A. (2009). A similarity solution for
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a stretching cylinder. International Journal
of Non-Linear Mechanics 46(9), 1191–1194.##]Cross-Diffusion Effects on the Onset of Double Diffusive Convection in a Couple Stress Fluid Saturated Rotating Anisotropic Porous Layer22In this paper, we have investigated the onset of double diffusive convection (DDC) in a couple stress fluid saturated rotating anisotropic porous layer in the presence of Soret and Dufour effects using linear stability analyses which is based on the usual normal mode technique. The onset criteria for both stationary and oscillatory modes obtained analytically. The effects of the Taylor number, mechanical anisotropy parameter, Darcy Prandtl number, solute Rayleigh number, normalized porosity parameter, Soret and Dufour parameters on the stationary and oscillatory convections shown graphically. The effects of couple stresses are quite significant for large values of the non-dimensional parameter and delay the onset of convection. Taylor number has stabilizing effect on double diffusive convection, Dufour number has stabilizing effect in stationary mode while destabilizing in oscillatory mode. The negative Soret parameter stabilizes the system and positive Soret parameter destabilizes the system in the stationary convection, while in the oscillatory convection the negative Soret coefficient destabilize the system and positive Soret coefficient stabilizes the system.16451654S. N.GaikwadDepartment of Mathematics, Gulbarga University, Jnana Ganga Campus, Gulbarga 585 106, India.Department of Mathematics, Gulbarga University, Jnana Ganga Campus, Gulbarga 585 106, India.payssngaikwad2009@yahoo.co.inS. S. Kamble Department of Mathematics, Government First Grade College, Chittapur – 585 211, India. Department of Mathematics, Government First Grade College, Chittapur – 585 211, India.payskambles_maths@yahoo.co.inCouple stress fluid Rotation Anisotropy Soret parameter Dufour parameter Double-diffusive convection (DDC).[Banyal A. S. (2013). A Mathematical theorem on
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Inc, New York 395-440.##]Oscillatory Magnetohydrodynamic Natural Convection of Liquid Metal between Vertical Coaxial Cylinders22A numerical study of oscillatory magnetohydrodynamic (MHD) natural convection of liquid metal between vertical coaxial cylinders is carried out. The motivation of this study is to determine the value of the critical Rayleigh number, Racr for two orientations of the magnetic field and different values of the Hartmann number (Harand Haz) and aspect ratios A. The inner and outer cylinders are maintained at uniform temperatures, while the horizontal top and bottom walls are thermally insulated. The governing equations are numerically solved using a finite volume method. Comparisons with previous results were performed and found to be in excellent agreement. The numerical results for various governing parameters of the problem are discussed in terms of streamlines, isotherms and Nusselt number in the annuli. The time evolution of velocity, temperature, streamlines and Nusselt number with Racr, Har, Haz, and A is quite interesting. We can control the flow stability and heat transfer rate in varying the aspect ratio, intensity and direction of the magnetic field.16551665F.Mebarek-OudinaDépartement des Sciences de la Matière, Faculté des Sciences, Université 20 août 1955 - Skikda, B.P 26 Route El-Hadaiek, Skikda 21000, AlgeriaDépartement des Sciences de la Matière, Faculté des Sciences, Université 20 août 1955 - Skikda, B.P 26 Route El-Hadaiek, Skikda 21000, Algeriapaysoudina2003@yahoo.frR.BessaihLEAP Laboratory, Department of Mechanical Engineering, Faculty of Sciences Technology, University of Frères Mentouri-Constantine, Route de Ain El. Bey, Constantine 25000, AlgeriaLEAP Laboratory, Department of Mechanical Engineering, Faculty of Sciences Technology, University of Frères Mentouri-Constantine, Route de Ain El. Bey, Constantine 25000, Algeriapaysbessaih.rachid@gmail.comMHD Numerical modeling Liquid metal Natural convection Hydrodynamic stability Cylindrical annulus.[Altinas, A. and I. Ozkol (2015).
Magnetohydrodynamic Flow of Liquid-Metal
in circular Pipes of Externally Heated and
Non-Heated cases. Journal of Applied Fluid
Mechanics 8(3), 507-514.##
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Prediction of Natural Convection in a Vertical
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]Free Convection Flow and Heat Transfer of Tangent Hyperbolic past a Vertical Porous Plate with Partial Slip22This article presents the nonlinear free convection boundary layer flow and heat transfer of an incompressible Tangent Hyperbolic non-Newtonian fluid from a vertical porous plate with velocity slip and thermal jump effects. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-difference Keller Box technique. The numerical code is validated with previous studies. The influence of a number of emerging non-dimensional parameters, namely the Weissenberg number (We), the power law index (n), Velocity slip (Sf), Thermal jump (ST), Prandtl number (Pr) and dimensionless tangential coordinate () on velocity and temperature evolution in the boundary layer regime are examined in detail. Furthermore, the effects of these parameters on surface heat transfer rate and local skin friction are also investigated. Validation with earlier Newtonian studies is presented and excellent correlation achieved. It is found that velocity, skin friction and heat transfer rate (Nusselt number) is increased with increasing Weissenberg number (We), whereas the temperature is decreased. Increasing power law index (n) enhances velocity and heat transfer rate but decreases temperature and skin friction. An increase in Thermal jump (ST) is observed to decrease velocity, temperature, local skin friction and Nusselt number. Increasing Velocity slip (Sf) is observed to increase velocity and heat transfer rate but decreases temperature and local skin friction. An increasing Prandtl number, (Pr), is found to decrease both velocity and temperature. The study is relevant to chemical materials processing applications.16671678V.Ramachandra PrasadDepartment of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-51732, IndiaDepartment of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-51732, Indiapaysrcpmaths@gmail.comS.Abdul GaffarDepartment of Mathematics, Salalah College of Technology, Salalah, OmanDepartment of Mathematics, Salalah College of Technology, Salalah, Omanpaysabdulsgaffar143@gmail.comO.Anwar BegGort Engovation Research (Aerospace), 15 Southmere Avenue, Great Horton, Bradford, BD7 3Nu, West Yorkshire, UKGort Engovation Research (Aerospace), 15 Southmere Avenue, Great Horton, Bradford, BD7 3Nu, West Yorkshire, UKpayso.beg@shu.ac.ukNon-newtonian tangent hyperbolic fluid Boundary layer flow Weissenberg number Power law index Velocity slip Thermal jump Skin friction Nusselt number.[Abbas, Z., Y. Wang, T. Hayat and M. Oberlack
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Abdul gaffar S, V. Ramachandra Prasad and O.
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Magnetohydrodynamic Free Convection Flow
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cylinder with Partial Slip. Int. J. of Applied
and Computational Mathematics.##
Abdul gaffer, S, V. Ramachandra Prasad, E.
Keshava Reddy and O. Anwar Beg (2014).
Free Convection Flow and Heat Transfer of
Non-Newtonian Tangent Hyperbolic Fluid
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Arabian Journal for Science and Engineering
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1460.##]Flow Field and Heat Transfer Investigation of a Confined Laminar Slot Air Jet on a Solid Block22A numerical investigation is carried out to investigate the fluid flow field and heat transfer characteristics of two dimensional laminar incompressible jet flows. Simulations are performed for a single vertical slot jet on a block mounted on the bottom wall and the top wall is confined by a parallel wall surface. The present study reveals the vital impact of the Aspect Ratio (AR) and Reynolds number (Re) on the fluid flow and heat transfer characteristics over a wide range. It is observed that the presence of a solid block in the channel increases the overall unsteadiness in the flow. The correlation between the Reynolds numbers and reattachment length is suggested, for all Aspect Ratios (ARs). The horizontal velocity profile at various downstream locations for all ARs is employed to find out the location where the flow gets fully developed. The primary peak value of the Nusselt number (Nu) occurs at the stagnation point, and the secondary peak is at a downstream location. The average Nusselt number increases with the increase of Reynolds number and decreases with the increase of the distance between the jet and the block. The heat transfer correlations between the Reynolds number and Nusselt number are analyzed for constant wall temperature boundary conditions.16791694M.MuthukannanKalasalingam University, Krishnankoil, Tamilnadu, 626126, IndiaKalasalingam University, Krishnankoil, Tamilnadu, 626126, Indiapaysmmk.mech59@gmail.comP.Rajesh KannaVelammal College of Engineering and Technology, Madurai, Tamilnadu-625009, IndiaVelammal College of Engineering and Technology, Madurai, Tamilnadu-625009, Indiapaysprkanna@gmail.comS.JeyakumarKalasalingam University, Krishnankoil, Tamilnadu, 626126, IndiaKalasalingam University, Krishnankoil, Tamilnadu, 626126, Indiapaysssjk@rediffmail.comA.BajpaiDepartment of Aerospace Engineering, IISc, Bangalore, IndiaDepartment of Aerospace Engineering, IISc, Bangalore, Indiapaysankitbajpai23@gmail.comImpinging jet Reynolds number Aspect Ratio Nusselt Number Vortex center Coefficient of friction.[Aldabbagh, L. B. Y. and I. Sezai (2002). Numerical
simulation of three-dimensional laminar
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Impinging- Gas- Jet Arrangements. Journal of
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Nusselt numbers International Journal of Heat
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Aeronautics 24 8-17.##
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Visualization 5 121-128.##]Investigation of Magneto Hydrodynamic Natural Convection Flows in a 3-D Rectangular Enclosure22The article deals with magnetic field of free convective flows in cavities similar to those used in artificial growth of single crystals from melts (horizontal Bridgman configurations) and having aspect ratios an equal to “4”. The combined effect of wall electrical conductivity and vertical direction of the magnetic field on the buoyancy induced flow of mercury was investigated numerically. The validation of the numerical method was achieved by comparison with both experimental and analytical data found in the literature. The plotted results for variation of velocity, temperature and Nusselt number in terms of the Hartmann number Ha and Rayleigh number “Ra” showed a considerable decrease in convection intensity as the magnetic field is increased, especially for values of “Gr” situated around 107. The calculations also showed that the vertically directed magnetic field (perpendicular to the x-z plane) is the most effective in controlling the flow and hence the speed of growth of the crystal. Also, wall electrical conductivity enhances damping by changing the distribution of the induced electric current to one which augments the magnitude of the Lorentz force.16951708K. N.MohamedEcole Normal Supérieur d’Enseignement Technologique ENSET-Skikda. Azzaba. Alger.Ecole Normal Supérieur d’Enseignement Technologique ENSET-Skikda. Azzaba. Alger.payskherief2006@yahoo.frS.BenissaadUniversité Mentouri Constantine faculté des sciences de l'ingénieur département de Génie mécanique.Université Mentouri Constantine faculté des sciences de l'ingénieur département de Génie mécanique.payssma.benissad@gmail.comF.BerrahilUniversité Mentouri Constantine faculté des sciences de l'ingénieur département de Génie mécanique.Université Mentouri Constantine faculté des sciences de l'ingénieur département de Génie mécanique.paysf_berrahil2002@yahoo.frK.TalbiUniversité Mentouri Constantine faculté des sciences de l'ingénieur département de Génie mécanique.Université Mentouri Constantine faculté des sciences de l'ingénieur département de Génie mécanique.payskam.talbi@gmail.comNatural convection Magnetic field Cavity Liquid metal finite-volume Lorentz force tri-dimensional.[Abo-Eldahab, E. M. and A. M. Salem (2004). Hall
effects on MHD free convection flow of a non
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Hall current and Ohmic heating effects on
mixed convection boundary layer flow of a
micropolar fluid from a rotating cone with
power-law variation in surface temperature.
International Communications in Heat and
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Journal of Engineering Science 39, 1641–1652.##
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Modelling 31, 1829-1846.##
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wall electrical conductivity and magnetic field
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fields International Journal of Heat and Mass
Transfer. 42, 2009-2019.##]Onset of Darcy-Brinkman Convection in a Maxwell Fluid Saturated Anisotropic Porous Layer22In the present study, the onset of Darcy-Brinkman double diffusive convection in a Maxwell fluid-saturated anisotropic porous layer is studied analytically using stability analysis. The linear stability analysis is based on normal technique. The modified Darcy-Brinkmam Maxwell model is used for the momentum equation. The Rayleigh number for stationary, oscillatory and finite amplitude convection is obtained analytically. The effect of the stress relaxation parameter, solute Rayleigh number, Darcy number, Darcy-Prandtl number, Lewis number, mechanical and thermal anisotropy parameters, and normal porosity parameter on the stationary, oscillatory and finite amplitude convection is shown graphically. The nonlinear theory is based on the truncated representation of the Fourier series method and is used to find the heat and mass transfer. The transient behavior of the Nusselt and Sherwood numbers is obtained by solving the finite amplitude equations using the Runge-Kutta method.17091720S. N.GaikwadDepartment of Mathematics, Gulbarga University, Kalaburagi, Jnana Ganga Campus,Gulbarga-585106, Karnatak, IndiaDepartment of Mathematics, Gulbarga University, Kalaburagi, Jnana Ganga Campus,Gulbarga-585106, Karnatak, Indiapayssngaikwad2009@yahoo.co.inA. V.JavajiDepartment of Mathematics, Gulbarga University, Kalaburagi, Jnana Ganga Campus,Gulbarga-585106, Karnatak, IndiaDepartment of Mathematics, Gulbarga University, Kalaburagi, Jnana Ganga Campus,Gulbarga-585106, Karnatak, Indiapaysanu.javaji@gmail.comDouble diffusive convection Darcy brinkman Maxwell model Porous layer Anisotropy Heat and mass transfer. [Amahmid, A., M. Hasnaoui, M. Mamou and P.
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372, 3046.##]Endoscopic Effects with Entropy Generation Analysis in Peristalsis for the Thermal Conductivity of Nanofluid22The peristaltic flow of a copper water fluid investigate the effects of entropy and magnetic field in an endoscope is studied. The mathematical formulation is presented, the resulting equations are solved exactly. The obtained expressions for pressure gradient, pressure rise, temperature, velocity phenomenon entropy generation number and Bejan number are described through graphs for various pertinent parameters. The streamlines are drawn for some physical quantities to discuss the trapping phenomenon.17211730N. S.AkbarDBS&H, CEME, National University of Sciences and Technology, Islamabad, PakistanDBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistanpaysnsqau@hotmail.comM.RazaDBS&H, CEME, National University of Sciences and Technology, Islamabad, PakistanDBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistanpaysmohsinvirgo18@gmail.comR.EllahiDepartment of Mechanical Engineering, Bourns Hall A 373, University of California Riverside CA 92521, USADepartment of Mechanical Engineering, Bourns Hall A 373, University of California Riverside CA 92521, USApaysrahmatellahi@yahoo.comMHD Peristaltic flow Copper nanoparticle Endoscope Entropy generation.[Akbar, N. S. (2015). Application of Eyring-Powell
fluid model in peristalsis with nano particles.
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]Oscillatory MHD Mixed Convection Boundary Layer Flow of Finite Dimension with Induced Pressure Gradient22The purpose of present investigation is to deal with g-jitter forces of a time varing gravity field on unsteady hydromagnetic flow past a horizontal flat plate in the presence of a transverse magnetic field and the flow at the entrance also oscillates because of an applied pressue gradient. This problem deals with mixed convection driven by a combination of g-jitter and oscillating pressure gradient under the influence of an applied magnetic field. Analysis of this type find applications in space fluid system design and interpreting the experimental measurements in microgravity flow and heat transfer system.
17451751S. K.GhoshDepartment of Mathematics, Narajole Raj Collge, Narajole 721211, West Bengal, IndiaDepartment of Mathematics, Narajole Raj Collge, Narajole 721211, West Bengal, Indiapaysg_swapan2002@yahoo.comS.DasDepartment of Mathematics, University of Gour Banga, Malda 732 103, West Bengal, IndiaDepartment of Mathematics, University of Gour Banga, Malda 732 103, West Bengal, Indiapaystutusanasd@yahoo.co.inR. N.JanaDepartment of Applied Mathematics, Vidyasagar University, Midnapore 721 102, West Bengal, IndiaDepartment of Applied Mathematics, Vidyasagar University, Midnapore 721 102, West Bengal, Indiapaysjana261171@yahoo.co.inA.GhoshDepartment of Mechanical Engineering, Seacom Engineering College, Howrah 711302, West Bengal, IndiaDepartment of Mechanical Engineering, Seacom Engineering College, Howrah 711302, West Bengal, Indiapaysayan261083@yahoo.inMHD flow G-jitter forces Critical Grashof number Forced convection.[Beg, O. A., A. Y. Bakier, V. Prasad, J. Zueco and
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field. Int. J. Eng. Sci. 37(13), 1723-1736.##]Mixed Convection Falkner-Skan Wedge Flow of an Oldroyd-B Fluid in Presence of Thermal Radiation 22The present study deals with the Falkner-Skan flow of rate type non-Newtonian fluid. Expressions of an Oldroyd-B fluid in the presence of mixed convection and thermal radiation are used in the development of relevant equations. The resulting partial differential equations are reduced into the ordinary differential equations employing appropriate transformations. Expressions of flow and heat transfer are constructed. Convergence of derived nonsimilar series solutions is guaranteed. Impact of various parameters involved in the flow and heat transfer results is plotted and examined.17531762M.Bilal AshrafDepartment of Mathematics, Comsats Institute of Information Technology WahCantt. 47040, PakistanDepartment of Mathematics, Comsats Institute of Information Technology WahCantt. 47040, Pakistanpaysbilalashraf_qau@yahoo.comT.HayatDepartment of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000, Pakistanpayspensy_t@yahoo.comH.AlsulamiDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabiapayshhaalsalmi@kau.edu.saOldroyd-B fluid Mixed convection Thermal radiation Falkner-Skan flow. [Abbasbandy, S. and T. Hayat (2009). Solution of
the MHD Falkner-Skan flow by Hankel-Pad´e
method. Physics Letters A 373,731-734.##
Abbasbandy, S. and T. Hayat (2009). Solution of
the MHD Falkner-Skan flow by homotopy
analysis method. Communications in
Nonlinear Science and Numerical
Simulation14, 3591-3598.##
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(2013). On convergence of homotopy analysis
method and its application to fractional
integro-differential equations. Quaestiones
Mathematicae 3 93-105.##
Ashraf, M. B., T. Hayat and A. Alsaedi (2015).
Three-dimensional flow of Eyring-Powell
nanofluid by convectively heated
exponentially stretching sheet. The
European Physical Journal Plus 130:5##
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convection of a power-law fluid past a
stretching surface in the presence of thermal
radiation and internal heat
generation/absorption. International Journal
of Non-Linear Mechanics 44, 596-603.##
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865-896.##
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Non-Newtonian Fluid Mechanics 156 (3),
189-201.##
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Computers & Mathematics with Applications
60(1), 74-82.##
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Energetic balance for the Rayleigh--Stokes
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Analysis: Real World Appl. 12(2011), 1-13.##
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flows of a generalized Oldroyd-B fluid with
fractional derivative. Nonlinear Analysis: Real
World Applications 10 (5), 2700-2708.##
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unidirectional flows of a generalized Oldroyd-
B fluid with fractional derivative. Applied
Mathematical Modelling 33 (11), 4181-4191.##
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the equations of boundary layer.
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(2011). Falkner-Skan wedge flow of a powerlaw
fluid with mixed convection and porous
medium. Computers & Fluids 49, 22-28.##
Hayat, T , M. Qasim and Z. Abbas (2010).
Radiation and mass transfer effects on the
magnetohydrodynamic unsteady flow induced
by a stretching sheet. Zeitschrift für
Naturforschung A 65, 231-239.##
Hayat, T., S. A. Shehzad, M. B. Ashraf and A.
Alsaedi (2013). Magnetohydrodynamic mixed
convection flow of thixotropic fluid with
thermophoresis and Joule heating. Journal of
Thermophysics and Heat Transfer 27, 733-
740.##
Hayat, T., S. A. Shehzad, M. Mustafa and A. Hendi
(2012). MHD flow of an Oldroyd-B fluid
through a porous channel. International
Journal of Chemical Reactor Engineering 10
(1), A8.##
Ishak, A. (2010). Similarity solutions for flow and
heat transfer over a permeable surface with
convective boundary condition. Applied
Mathematics and Computation 217, 837-842.##
Jamil, M., N. A. Khan and A. A. Zafar (2011).
Translational flows of an Oldroyd-B fluid with
fractional derivatives. Computers &
Mathematics with Applications 62(3), 1540-
1553.##
Kim, Y. J. (2001). The Falkner- Skan wedge flows
of power-law fluids embedded in a porous
medium. Transport in Porous Media 44, 267-
279.##
Kuo, B. L. (2005). Heat transfer analysis for the
Falkner-Skan wedge flow by the differential
transformation method. International Journal
of Heat and Mass Transfer 48(2005), 5036-
5046.##
Liao, S. (2012). Homotopy analysis method in
nonlinear differential equations. Higher Edu.
Press, Beijing and Springer-Verlag Berlin
Heidelberg.##
Liu, Y., L. Zheng and X. Zhang (2011). Unsteady
MHD Couette flow of a generalized Oldroyd-
B fluid with fractional derivative. Computers 8
Mathematics with Applications 61(2), 443-
450.##
Liu, Y. P., S. J. Liao and Z. B. Li (2013). Symbolic
computation of strongly nonlinear periodic
oscillations. Journal of Symbolic Computation
55, 72-95.##
Mukhopadhyay, S. (2009). Effects of radiation and
variable fluid viscosity on flow and heat
transfer along a symmetric wedge. Journal of
Applied Fluid Mechanics 2, 29-34.##
Prand, K., A. R. Razaei and S. M. Ghaderic (2010).
An approximate solution to the MHD Falkner-
Skan flow by Hermite functions
pseudospectral method. Communications in
Nonlinear Science and Numerical 16, 274-
283.##
Rashidi, M. M., N. kavyani and S. Abelman (2014).
Investigation of entropy generation in MHD
and slip flow over a rotating porous disk with
variable properties. International Journal of
Heat and Mass Transfer 70, 892-917.##
Turkyilmazoglu, M. (2012). Solution of Thomas-
Fermi equation with a convergent approach.
Communications in Nonlinear Science and
Numerical Simulation 17, 4097-4103.##
Zheng, L., Z. Guo and X. Zhang (2011). 3D flow of
a generalized Oldroyd-B fluid induced by a
constant pressure gradient between two side
walls perpendicular to a plate. Nonlinear
Analysis: Real World Applications 12(6),
3499-3508.##
Zheng, L., J. Niu, X. Zhang and Y. Gao (2012).
MHD flow and heat transfer over a porous
shrinking surface with velocity slip and
temperature jump. Mathematical and
Computer Modelling 56, 133-144.##
Zheng, L., Y. Liu and X. Zhang (2011). Exact
solutions for MHD flow of generalized
Oldroyd-B fluid due to an infinite accelerating
plate. Mathematical and Computer Modelling
54(1-2), 780-788.##]Darcian Natural Convection in Inclined Square Cavity Partially Filled Between the Central Square Hole Filled with a Fluid and Inside a Square Porous Cavity Filled with Nanofluid22The problem of Darcian natural convection in inclined square cavity partially filled between the central square hole filled with a fluid and inside a square porous cavity filled with nanofluid is studied numerically using finite element method. The left vertical wall is maintained at a constant hot temperature $T_{h}$ and the right vertical wall is maintained at a constant cold temperature $T_{c}$, while the horizontal walls are adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximation. COMSOL's finite element method is used to solve the non-dimensional governing equations together with specified boundary conditions. The governing parameters of this study are the Rayleigh number $(10^{3}\leq Ra \leq10^{7})$, Darcy number $(10^{-5}\leq Da \leq10^{-3})$, the fluid layer thickness $(0.4\leq S \leq0.8)$ and the inclination angle of the cavity ($0^{\circ} \leq \omega \leq 60^{\circ}$). The results presented for values of the governing parameters in terms of streamlines in both nanofluid/fluid-layer, isotherms in both nanofluid/fluid-layer and average Nusselt number. The convection is shown to be inhibited by the presence of the hole insert. The thermal property of the insert and the size have opposite influence on convection17631775A. I.AlsaberySchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysiapaysammar_e_2011@yahoo.comH.SalehSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysiapaysdr.habibissaleh@gmail.comI.HashimSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysiapaysishak_h@ukm.myH.HussainHead of Automobile Engineering Department, Al-Musayab College for Engineering and Technology, Babylon University, Babylon Province, IraqHead of Automobile Engineering Department, Al-Musayab College for Engineering and Technology, Babylon University, Babylon Province, Iraqpayshussain1@jafmonline.netNatural convection Square cavity Nanofluid Interface Darcy model.[Abbas, Z., T. Hayat, and N. Alib (2008).
Mhd flow and mass transfer of a upperconvected
maxwell fluid past a porous
shrinking sheet with chemical reaction
species. Physics Letters A 372(26),
4698–4704.##
Abbas, Z., M. Sajid, and T. Hayat (2006).
Mhd boundary-layer flow of an upperconvected
maxwell fluid in a porous
channel. Theoretical and Computational
Fluid Dynamics 20(4), 229–238.##
Animasaun, I. L. (2015a). Casson fluid flow
of variable viscosity and thermal conductivity
along exponentially stretching
sheet embedded in a thermally stratified
medium with exponentially heat generation.
Journal of Heat and Mass Transfer
Research 2(2), Article in Press.##
Animasaun, I. L. (2015b). Effects of thermophoresis,
variable viscosity and thermal
conductivity on free convective heat
and mass transfer of non-darcian mhd
dissipative casson fluid flow with suction
and nth order of chemical reaction.
Journal of the Nigerian Mathematical
Society-Elsevier 34, 11–31.##
Animasaun, I. L., E. Adebile, and A. Fagbade
(2015). Casson fluid flow with variable
thermo-physical property along exponentially
stretching sheet with suction
and exponentially decaying internal heat
generation using the homotopy analysis
method. Journal of the Nigerian Mathematical
Society.##
Animasaun, I. L., K. S. Adegbie, A. J.
Omowaye, and A. B. Disu (2015). Heat
and mass transfer of upper convected
maxwell fluid flow with variable thermophysical
properties over horizontal melting
surface. Applied Mathematics 6(-),
1362-1379.##
Barnes, H. A., J. F. Hutton, and K. Walters
(1989). An Introduction to Rheology.
New York: Elsevier Science Publishing
Company.##
Batchelor, G. K. (1987). An Introduction
to Fluid Dynamics. London: Cambridge
University Press.##
Charraudeau, J. (1975). Influence de gradients
de properties physiques en convection
force application au cas du tube. International
Journal of Heat and Mass
Transfer 18(1), 87–95.##
Crepeau, J. and R. Clarksean (1997). Similarity
solutions of natural convection
with internal heat generation. Transactions
of ASME - Journal of Heat Transfer
(119), 184–185.##
Dunn, J. and K. Rajagopal (1995). Fluids of
differential type: critical review and thermodynamic
analysis. International Journal
of Engineering Science 33(5), 689–
729.##
Epstein, M. (1975). The effect of melting on
heat transfer to submerged bodies. Letters
in Heat and Mass Transfer 2(2), 97–
104.##
Epstein, M. and D. H. Cho (1976). Melting
heat transfer in steady laminar flow over
a flat plate. Journal of Heat Transfer 98,
531–533.##
Fosdick, R. L. and K. R. Rajagopal (1979).
Anomalous features in the model of second
grade fluids. Archive for Rational
Mechanics and Analysis 70(2), 145–152.##
Fukusako, S. and M. Yamada (1999). Melting
heat transfer inside ducts and over external
bodies. Experimental Thermal and
Fluid science 19(2), 93–117.##
Hayat, T., Z. Abbas, and M. Sajid (2006).
Series solution for the upper-convected
maxwell fluid over a porous stretching
plate. Physics Letters A (358), 396–403.##
Hayat, T., M. Hussain, M. Awais, and
S. Obaidat (2013). Melting heat transfer
in a boundary layer flow of a second
grade fluid under soret and dufour
effects. International Journal of Numerical
Methods for Heat and Fluid Flow 23,
1155–1168.##
Hayat, T., S. A. Shehzad, H. H. Al-Sulami,
and S. Asghar (2013). Influence of thermal
stratification on the radiative flow of
maxwell fluid. Journal of the Brazilian
Society of Mechanical Sciences and Engineering
35(4), 381–389.##
Ishak, A., R. Nazar, N. Bachok, and I. Pop
(2010). Melting heat transfer in steady
laminar flow over a moving surface. Heat
Mass Transfer (46), 463–468.##
Larson, R. (1988). Constitutive Equations
for Polymer Melts and Solutions. Boston:
Butterworths.##
Lienhard-IV, J. H. and J. H. Lienhard-
V (2008). A heat Transfer Textbook,
3rd Edition. Cambridge, Massachusetts,
U.S.A.: Phlogiston Press.##
Meyers, T. G., J. Charpin, and M. Tshela
(2006). The flow of a variable viscosity
fluid between parallel plates with
shear heating. Applied Mathematic Modeling
30(9), 799–815.##
Motsa, S., T. Hayat, and O. M. Aldossary
(2012). Mhd flow of upper-convected
maxwell fluid over porous stretching
sheet using successive taylor series linearization
method. Applied Mathematics
and Mechanics (English Edition) 33(8),
975–990.##
Mukhopadhyay, S. (2013). Effects of
thermal radiation and variable fluid
viscosity on stagnation point flow
past a porous stretching sheet.
Meccanica-Springer 48, 1717–1730
http://dx.doi.org/10.1007/s11012–013–
9704–0.##
Mustafa, M., T. Hayat, S. A. Shehzad, and
S. Obaidat (2012). Melting heat transfer
in the stagnation-point flow of an upperconvected
maxwell (ucm) fluid past a
stretching sheet. International Journal
for Numerical Methods in Fluids 68(2),
233–243.##
Na, T. Y. (1979). Computational Methods in
Engineering Boundary Value Problems.
New York: Academic Press.##
Poole, R. J. (2012). The deborah and
weissenberg numbers. Rheology Bulletin
53(2), 32–39.##
Pop, I., N. Bachok, and A. Ishak (2010).
Melting heat transfer in boundary layer
stagnation-point flow towards a stretching/
shrinking sheet. Physsics Letter
A 374(4), 4075–4079.##
Pop, I., A. Sujatha, K. Vajravelu, and
K. Prasad (2012). Mhd flow and heat
transfer of a ucm fluid over a stretching
surface with variable thermophysical
properties. Meccanica-Springer 47(6),
1425–1439.##
Prasad, K., K. Vajravelu, and A. Sujatha
(2013). Influence of internal heat generation/
absorption, thermal radiation, magnetic
field, variable fluid property and
viscous dissipation on heat transfer characteristics
of a maxwell fluid over a
stretching sheet. Journal of Applied Fluid
Mechanics 6(2), 249–256.##
Reddy, M. G. and N. B. Reddy (2011).
Mass transfer and heat generation effects
on mhd free convection flow past
an inclined vertical surface in a porous
medium. Journal of Applied Fluid Mechanics
4(2), 7–11.##
Sadeghy, K., V. Aliakbar, and A. Alizadeh-
Pahlavan (2009). The influence of thermal
radiation on mhd flow of maxwellian
fluids above stretching sheets. Communications
in Nonlinear Science and Numerical
Simulation 14(3), 779–794.##
Sadeghy, K., H. Hajibeygi, and S. M.
Taghavi (2006). Stagnation-point flow of
upper-convected maxwell fluids. International
Journal of Non-Linear Mechanics
41(10), 1242 – 1247.##
Sadeghy, K., A. H. Najafi, and M. Saffaripour
(2005). Sakiadis flow of an
upper-convected maxwell fluid. International
Journal of Non-Linear Mechanics
40(9), 1220 – 1228.##
Salem, A. M. and M. A. El-Aziz (2007).
Mhd-mixed convection and mass transfer
from a vertical stretching sheet
with diffusion of chemically reactive
species and space- or temperaturedependent
heat source. Canadian Journal
of Physics 85(4), 359–373.##
Salem, A. M. and M. A. El-Aziz (2008). Effect
of hall currents and chemical reaction
on hydromagnetic flow of a stretching
vertical surface with internal heat
generation/absorption. Applied Mathematical
Modelling 32(7), 1236–1254.##
Schichting, H. (1964). Boundary Layer Theory,
Sixth Edition. New York: McGraw-
Hill.##
Shampine, L. F., M. W. Reichelt,
and J. Kierzenka (2010). Solving
boundary value problems for ordinary
differential equations in matlab
with bvp4c. pp. Available at
http://www.mathworks.com/bvptutorial.##
Shateyi, S., S. S. Motsa, and Z. Makukula
(2015). On spectral relaxation method
for entropy generation on a mhd flow and
heat transfer of a maxwell fluid. Journal
of Applied Fluid Mechanics 8(1), 21–31.##
Sivagnana, K. K. P., R. Kandasamy, and
R. Saravanan (2009). Lie group analysis
for the effect of viscosity and thermophoresis
particle deposition on free
convective heat and mass transfer in the
presence of suction / injection. Theoretical
and Applied Mechanics 36(4), 275–
298.##
Tien, C. and Y. Yen (1965). The effect of
melting on forced convection heat transfer.
Journal of Applied Meterology 4(4),
523–527.##
Vimala, C. and P. Loganthan (2015). Mhd
flow of nanofluids over an exponentially
stretching sheet embedded in a stratified
medium with suction and radiation effects.
Journal of Applied Fluid Mechanics
8(1), 85–93.##
Yin-Chao, Y. and C. Tien (1963). Laminar
heat transfer over a melting plate,
the modified leveque problem. Journal
of Geophysical Research 68(12), 3673–
3678.##
]Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification22An upper-convected Maxwell (UCM) fluid flow over a melting surface situated in hot environment
is studied. The influence of melting heat transfer and thermal stratification are properly accounted
for by modifying the classical boundary condition of temperature to account for both. It is assumed
that the ratio of inertia forces to viscous forces is high enough for boundary layer approximation
to be valid. The corresponding influence of exponentially space dependent internal heat generation
on viscosity and thermal conductivity of UCM is properly considered. The dynamic viscosity and
thermal conductivity of UCM are temperature dependent. Classical temperature dependent viscosity
and thermal conductivity models are modified to suit the case of both melting heat transfer and ther-
mal stratification. The governing non-linear partial differential equations describing the problem are
reduced to a system of nonlinear ordinary differential equations using similarity transformations and
completed the solution numerically using the Runge-Kutta method along with shooting technique
(RK4SM). The numerical procedure is validated by comparing the solutions of RK4SM with that
of MATLAB based bvp4c. The results reveal that increase in stratification parameter corresponds
to decrease in the heat energy entering into the fluid domain from freestream and this significantly
reduces the overall temperature and temperature gradient of UCM fluid as it flows over a melting
surface. The transverse velocity, longitudinal velocity and temperature of UCM are increasing func-
tion of temperature dependent viscous and thermal conductivity parameters. At a constant value of
melting parameter, the local skin-friction coefficient and heat transfer rate increases with an increase
in Deborah number.17771790A. J.OmowayeDepartment of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria, West Africa.Department of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria, West Africa.paysajomowaye@futa.edu.ngI. L.AnimasaunDepartment of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria, West Africa.Department of Mathematical Sciences, Federal University of Technology, Akure, Ondo State, Nigeria, West Africa.paysanizakph2007@gmail.comMelting heat transfer Viscoelastic fluid Relaxation time Variable viscosity Variable thermal conductivity Thermal Stratification Exponentially Internal heat Source.[Abbas, Z., T. Hayat, and N. Alib (2008).
Mhd flow and mass transfer of a upperconvected
maxwell fluid past a porous
shrinking sheet with chemical reaction
species. Physics Letters A 372(26),
4698–4704.##
Abbas, Z., M. Sajid, and T. Hayat (2006).
Mhd boundary-layer flow of an upperconvected
maxwell fluid in a porous channel. Theoretical and Computational
Fluid Dynamics 20(4), 229–238.##
Animasaun, I. L. (2015a). Casson fluid flow
of variable viscosity and thermal conductivity
along exponentially stretching
sheet embedded in a thermally stratified
medium with exponentially heat generation.
Journal of Heat and Mass Transfer
Research 2(2), Article in Press.##
Animasaun, I. L. (2015b). Effects of thermophoresis,
variable viscosity and thermal
conductivity on free convective heat
and mass transfer of non-darcian mhd
dissipative casson fluid flow with suction
and nth order of chemical reaction.
Journal of the Nigerian Mathematical
Society-Elsevier 34, 11–31.##
Animasaun, I. L., E. Adebile, and A. Fagbade
(2015). Casson fluid flow with variable
thermo-physical property along exponentially
stretching sheet with suction
and exponentially decaying internal heat
generation using the homotopy analysis
method. Journal of the Nigerian Mathematical
Society.##
Animasaun, I. L., K. S. Adegbie, A. J.
Omowaye, and A. B. Disu (2015). Heat
and mass transfer of upper convected
maxwell fluid flow with variable thermophysical
properties over horizontal melting
surface. Applied Mathematics 6(-),
1362-1379.##
Barnes, H. A., J. F. Hutton, and K. Walters
(1989). An Introduction to Rheology.
New York: Elsevier Science Publishing
Company.##
Batchelor, G. K. (1987). An Introduction
to Fluid Dynamics. London: Cambridge
University Press.##
Charraudeau, J. (1975). Influence de gradients
de properties physiques en convection
force application au cas du tube. International
Journal of Heat and Mass
Transfer 18(1), 87–95.##
Crepeau, J. and R. Clarksean (1997). Similarity
solutions of natural convection
with internal heat generation. Transactions
of ASME - Journal of Heat Transfer
(119), 184–185.##
Dunn, J. and K. Rajagopal (1995). Fluids of
differential type: critical review and thermodynamic
analysis. International Journal
of Engineering Science 33(5), 689–
729.##
Epstein, M. (1975). The effect of melting on
heat transfer to submerged bodies. Letters
in Heat and Mass Transfer 2(2), 97–
104.##
Epstein, M. and D. H. Cho (1976). Melting
heat transfer in steady laminar flow over
a flat plate. Journal of Heat Transfer 98,
531–533.##
Fosdick, R. L. and K. R. Rajagopal (1979).
Anomalous features in the model of second
grade fluids. Archive for Rational
Mechanics and Analysis 70(2), 145–152.##
Fukusako, S. and M. Yamada (1999). Melting
heat transfer inside ducts and over external
bodies. Experimental Thermal and
Fluid science 19(2), 93–117.##
Hayat, T., Z. Abbas, and M. Sajid (2006).
Series solution for the upper-convected
maxwell fluid over a porous stretching
plate. Physics Letters A (358), 396–403.##
Hayat, T., M. Hussain, M. Awais, and
S. Obaidat (2013). Melting heat transfer
in a boundary layer flow of a second
grade fluid under soret and dufour
effects. International Journal of Numerical
Methods for Heat and Fluid Flow 23,
1155–1168.##
Hayat, T., S. A. Shehzad, H. H. Al-Sulami,
and S. Asghar (2013). Influence of thermal
stratification on the radiative flow of
maxwell fluid. Journal of the Brazilian
Society of Mechanical Sciences and Engineering
35(4), 381–389.##
Ishak, A., R. Nazar, N. Bachok, and I. Pop
(2010). Melting heat transfer in steady
laminar flow over a moving surface. Heat
Mass Transfer (46), 463–468.##
Larson, R. (1988). Constitutive Equations
for Polymer Melts and Solutions. Boston:
Butterworths.##
Lienhard-IV, J. H. and J. H. Lienhard-
V (2008). A heat Transfer Textbook,
3rd Edition. Cambridge, Massachusetts,
U.S.A.: Phlogiston Press.##
Meyers, T. G., J. Charpin, and M. Tshela
(2006). The flow of a variable viscosity
fluid between parallel plates with
shear heating. Applied Mathematic Modeling
30(9), 799–815.##
Motsa, S., T. Hayat, and O. M. Aldossary
(2012). Mhd flow of upper-convected
maxwell fluid over porous stretching
sheet using successive taylor series linearization
method. Applied Mathematics
and Mechanics (English Edition) 33(8),
975–990.##
Mukhopadhyay, S. (2013). Effects of
thermal radiation and variable fluid
viscosity on stagnation point flow
past a porous stretching sheet.
Meccanica-Springer 48, 1717–1730
http://dx.doi.org/10.1007/s11012–013–
9704–0.##
Mustafa, M., T. Hayat, S. A. Shehzad, and
S. Obaidat (2012). Melting heat transfer
in the stagnation-point flow of an upperconvected
maxwell (ucm) fluid past a
stretching sheet. International Journal
for Numerical Methods in Fluids 68(2),
233–243.##
Na, T. Y. (1979). Computational Methods in
Engineering Boundary Value Problems.
New York: Academic Press.##
Poole, R. J. (2012). The deborah and
weissenberg numbers. Rheology Bulletin
53(2), 32–39.##
Pop, I., N. Bachok, and A. Ishak (2010).
Melting heat transfer in boundary layer
stagnation-point flow towards a stretching/
shrinking sheet. Physsics Letter
A 374(4), 4075–4079.##
Pop, I., A. Sujatha, K. Vajravelu, and
K. Prasad (2012). Mhd flow and heat
transfer of a ucm fluid over a stretching
surface with variable thermophysical
properties. Meccanica-Springer 47(6),
1425–1439.##
Prasad, K., K. Vajravelu, and A. Sujatha
(2013). Influence of internal heat generation/
absorption, thermal radiation, magnetic
field, variable fluid property and
viscous dissipation on heat transfer characteristics
of a maxwell fluid over a
stretching sheet. Journal of Applied Fluid
Mechanics 6(2), 249–256.##
Reddy, M. G. and N. B. Reddy (2011).
Mass transfer and heat generation effects
on mhd free convection flow past
an inclined vertical surface in a porous
medium. Journal of Applied Fluid Mechanics
4(2), 7–11.##
Sadeghy, K., V. Aliakbar, and A. Alizadeh-
Pahlavan (2009). The influence of thermal
radiation on mhd flow of maxwellian
fluids above stretching sheets. Communications
in Nonlinear Science and Numerical
Simulation 14(3), 779–794.##
Sadeghy, K., H. Hajibeygi, and S. M.
Taghavi (2006). Stagnation-point flow of
upper-convected maxwell fluids. International
Journal of Non-Linear Mechanics
41(10), 1242 – 1247.##
Sadeghy, K., A. H. Najafi, and M. Saffaripour
(2005). Sakiadis flow of an
upper-convected maxwell fluid. International
Journal of Non-Linear Mechanics
40(9), 1220 – 1228.##
Salem, A. M. and M. A. El-Aziz (2007).
Mhd-mixed convection and mass transfer
from a vertical stretching sheet
with diffusion of chemically reactive
species and space- or temperaturedependent
heat source. Canadian Journal
of Physics 85(4), 359–373.##
Salem, A. M. and M. A. El-Aziz (2008). Effect
of hall currents and chemical reaction
on hydromagnetic flow of a stretching
vertical surface with internal heat
generation/absorption. Applied Mathematical
Modelling 32(7), 1236–1254.##
Schichting, H. (1964). Boundary Layer Theory,
Sixth Edition. New York: McGraw-
Hill.##
Shampine, L. F., M. W. Reichelt,
and J. Kierzenka (2010). Solving
boundary value problems for ordinary
differential equations in matlab
with bvp4c. pp. Available at
http://www.mathworks.com/bvptutorial.
Shateyi, S., S. S. Motsa, and Z. Makukula
(2015). On spectral relaxation method
for entropy generation on a mhd flow and
heat transfer of a maxwell fluid. Journal
of Applied Fluid Mechanics 8(1), 21–31.##
Sivagnana, K. K. P., R. Kandasamy, and
R. Saravanan (2009). Lie group analysis
for the effect of viscosity and thermophoresis
particle deposition on free
convective heat and mass transfer in the
presence of suction / injection. Theoretical
and Applied Mechanics 36(4), 275–
298.##
Tien, C. and Y. Yen (1965). The effect of
melting on forced convection heat transfer.
Journal of Applied Meterology 4(4),
523–527.##
Vimala, C. and P. Loganthan (2015). Mhd
flow of nanofluids over an exponentially
stretching sheet embedded in a stratified
medium with suction and radiation effects.
Journal of Applied Fluid Mechanics
8(1), 85–93.##
Yin-Chao, Y. and C. Tien (1963). Laminar
heat transfer over a melting plate,
the modified leveque problem. Journal
of Geophysical Research 68(12), 3673–
3678.##
]Study of Flow Patterns in Radial and Back Swept Turbine Rotor under Design and Off-Design Conditions22Paper details the numerical investigation of flow patterns in a conventional radial turbine compared with a back swept design for same application. The blade geometry of a designed turbine from a 25kW micro gas turbine was used as a baseline. A back swept blade was subsequently designed for the rotor, which departed from the conventional radial inlet blade angle to incorporate up to 25° inlet blade angle. A comparative numerical analysis between the two geometries is presented. While operating at lower than optimum velocity ratios (U/C), the 25° back swept blade offers significant increases in efficiency. In turbocharger since the turbine typically experiences lower than optimum velocity ratios, this improvement in the efficiency at off-design condition could significantly improve turbocharger performance. The numerical predictions show off-design performance gains of the order of 4.61% can be achieved, while maintaining design point efficiency.
17911798S. P.ShahC. K. Pithawalla College of Engineering and Technology, Surat, Gujarat, 395007, India.C. K. Pithawalla College of Engineering and Technology, Surat, Gujarat, 395007, India.payssamip_mech@yahoo.comS. A.ChanniwalaS.V. National Institute of Technology, Surat, Gujarat, 395007, IndiaS.V. National Institute of Technology, Surat, Gujarat, 395007, Indiapayssac@med.svnit.ac.inD. B.KulshreshthaC. K. Pithawalla College of Engineering and Technology, Surat, Gujarat, 395007, India.C. K. Pithawalla College of Engineering and Technology, Surat, Gujarat, 395007, India.payscasanovicdigs@hotmail.comG.ChaudhariC. K. Pithawalla College of Engineering and Technology, Surat, Gujarat, 395007, India.C. K. Pithawalla College of Engineering and Technology, Surat, Gujarat, 395007, India.paysgaurangchaudhari_2005@yahoo.comGas turbine impeller Numerical simulation.[ANSYS Inc. (2009). Ansys CFX14.0 User's Guide.
Canonsburg, PA 15317.##
AxSTREAM (2014). AxSTREAM User’s Guide
and Help Manual.##
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Technical.##]Effects of Horizontal Magnetic Field and Rotation on Thermal Instability of a Couple-Stress Fluid through a Porous Medium: a Brinkman Model22A linear stability analysis is carried out to discuss the effects of horizontal magnetic field and horizontal rotation on thermal instability problem of a couple-stress fluid through a Brinkman porous medium. After employing normal mode method on the dimensionless linearized perturbation equations, it is noted that for the stationary state, Taylor number promotes stabilization, whereas medium porosity hastens the onset of convection. The medium permeability , magnetic field , couple-stress and Darcy-Brinkman parameter play dual role in determining the stability/instability of the system under certain restrictions. Also, the sufficient conditions responsible for the non-existence of overstability are gained and the principle of exchange of stabilities holds good for a magneto-rotary system.17991806K.KumarDepartment of Mathematics & Statistics, Gurukula Kangri Vishwavidyalaya, Haridwar, 249404, India. Department of Mathematics & Statistics, Gurukula Kangri Vishwavidyalaya, Haridwar, 249404, India. payskkchaudhary000@gmail.comV.SinghDepartment of Applied Sciences, Moradabad Institute of Technology, Moradabad, 244001, India.Department of Applied Sciences, Moradabad Institute of Technology, Moradabad, 244001, India.paysvsinghmbd@gmail.comS.SharmaDepartment of Mathematics & Statistics, Gurukula Kangri Vishwavidyalaya, Haridwar, 249404, India. Department of Mathematics & Statistics, Gurukula Kangri Vishwavidyalaya, Haridwar, 249404, India. payss.sharma@jafmonline.netCouple-stress fluid Magnetic field Rotation Brinkman porous medium. [Bansal, J. L. (2004). Viscous fluid dynamics,
Oxford and IBH Publishing Company, Delhi,
India.##
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Stability of an Oldroydian viscoelasticfluid
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Journal of Fluid Dynamics 3(3), 58-66.##
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Mathematics and Mechanics 10(8), 78-93.##
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medium using a thermal non-equilibrium
model. International Journal of Applied
Mathematics and Mechanics 9, 29-49.##]MHD Unsteady Flow and Heat Transfer of Micropolar Fluid through Porous Channel with Expanding or Contracting Walls22The unsteady laminar incompressible flow and heat transfer characteristics of an electrically conducting micropolar fluid in a porous channel with expanding or contracting walls is investigated. The relevant partial differential equations have been reduced to ordinary ones. The reduced system of ordinary differential equations (ODEs) has been solved numerically by lower-upper (LU) triangular factorization or Gaussian elimination and successive over relaxation (SOR) method. The effects of some physical parameters such as magnetic parameter, micropolar parameters, wall expansion ratio, permeability Reynolds number and Prandtl number on the velocity, microrotation, temperature and the shear and couple stresses are discussed.
18071817Y.AsiaCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Pakistanpaysasia.yasmin@ymail.comA.KashifCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Pakistanpayskashifali_381@yahoo.comA.MuhammadCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Pakistanpaysmashraf_mul@yahoo.comMagnetohydrodynamics (MHD) Expanding or contracting walls Porous channel Wall expansion ratio Quasi-linearization.[Ali, K. and M. Ashraf (2014). Numerical simulation
of the micropolar fluid flow and heat transfer in a
channel with a shrinking and a stationary wall.
Journal of Theoretical and Applied Mechanics
52, 557-569.##
Ali, K., F. M. Iqbal, Z. M. Akbar and M. Ashraf
(2014). Numerical simulation of unsteady waterbased
nanofluid flow and heat transfer between
two orthogonally moving porous coaxial disks.
Journal of Theoretical and Applied Mechanics
52, 1033-1046.##
Ali, K., M. Ashraf, and N. Jameel (2014).
Numerical simulation of magnetohydro dynamic
micropolar fluid flow and heat transfer in a
channel with shrinking walls. Canadian Journal
of Physics 92(9), 987-996.##
Ali, K., Z. M. Akbar, F. M. Iqbal and M. Ashraf
(2014). Numerical simulation of heat and mass
transfer in unsteady nanofluid between two
orthogonally moving porous coaxial disks. AIP
Advances. 4.##
Ashmawy, E. A. (2014). Fully developed natural
convective micropolar fluid flow in a vertical
channel with slip. Journal of the Egyptian
Mathematical Society.##
Govardhan, K. and N. Kishan (2011). Unsteady
MHD boundary layer flow of an incompressible
micropolar fluid over a stretching sheet. Journal
of Applied Fluid Mechanic. 5(3), 23-28.##
Khoshab, M. and A. A. Dehghan (2011). Numerical
simulation of buoyancy-induced micropolar fluid
flow between two concentric isothermal spheres.
Journal of Applied Fluid Mechanic 4(2), 51-59.##
Majdalani, J. and C. Zhou (2003). Moderate-tolarge
injection and suction driven channel flows
with expanding or contracting walls. Zeitschrift
fur Angewandte Mathematik and Mechanik
83(3), 181-196.##
Umavathi, J. C. (2011). Mixed convection of
micropolar fluid in a vertical double-passage
channel. International Journal of Engineering,
Science and Technology 3(8), 197-209.##
Xin-Hue, SI. , Z. Lian-Cun, Z. Xin-Xin and Y.
Chao (2010). Analytic solution to the micropolar
fluid flow through a semi-porous channel with an
expanding or contracting wall. Applied
Mathematics and Mechanics –English Edition
31(9) 1073–1080.##
Xin-Hue, SI., Z. Lian-Cun, Z. Xin-Xin, SI. Xin-Yi
and Y. Jian-Hong (2011). Flow of a viscoelastic
fluid through a porous channel with expanding or
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044702.##
Xinhui, S., Z. Liancun, Z. Xinxin, S. Xinyi, and L.
Min (2012). Asymmetric viscoelastic flow
through a porous channel with expanding or
contracting walls: a model for transport of
biological fluids through vessels. Computer
Methods in Biomechanics and Biomedical
Engineering 17(6), 623-31.##]Effect of Heat Transfer on Oscillatory Flow of Blood through a Permeable Capillary22Of concern in the paper is a study on heat transfer in the unsteady magnetohydrodynamic (MHD) flow of blood through a porous segment of a capillary subject to the action of an external magnetic field. Nonlinear thermal radiation and velocity slip condition are taken into account. The time-dependent permeability and suction velocity are considered. The governing non-linear patial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using Crank-Nicolson scheme. The computational results are presented in graphical/tabular form and thereby some theoretical predictions are made with respect to the hemodynamical flow of blood in a hyperthermal state under the action of a magnetic field. Effects of different parameters are adequately discussed. The results clearly indicate that the flow is appreciably influenced by slip velocity and also by the value of the Grashof number. It is also observed that the thermal boundary layer thickness enhances with increase of thermal radiation.18191827A.SinhaDepartment of Mathematics Yogoda Satsanga Palpara Mahavidyalaya, West Bengal-721458, IndiaDepartment of Mathematics Yogoda Satsanga Palpara Mahavidyalaya, West Bengal-721458, Indiapaysaniruddha.sinha07@gmail.comMagnetohydrodynamics Thermal radiation Slip velocity Suction velocity.[Akbar, N. S., M. Raza and R. Ellahi (2014).
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Mech. 7, 485-492.##
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200.##
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31.##
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Physiotherapy 60, 309-310.##]Numerical Prediction of Unsteady Behavior of Cavitating Flow on Hydrofoils using Bubble Dynamics Cavitation Model22This paper presents a numerical study with pressure-based finite volume method for prediction of non-cavitating and time dependent cavitating flow on hydrofoil. The phenomenon of cavitation is modeled through a mixture model. For the numerical simulation of cavitating flow, a bubble dynamics cavitation model is used to investigate the unsteady behavior of cavitating flow and describe the generation and evaporation of vapor phase. The non-cavitating study focuses on choosing mesh size and the influence of the turbulence model. Three turbulence models such as Spalart-Allmaras, Shear Stress Turbulence (SST) k-ω model and Re-Normalization Group (RNG) k-ε model with enhanced wall treatment are used to capture the turbulent boundary layer on the hydrofoil surface. The cavitating study presents an unsteady behavior of the partial cavity attached to the foil at different time steps for σ=0.8. Moreover, this study focuses on cavitation inception, the shape and general behavior of sheet cavitation, lift and drag forces for different cavitation numbers. Finally, the flow pattern and hydrodynamic characteristics are also studied at different angles of attack.18291837N.MostafaDepartment of Mathematics, Military Institute of Science and Technology, Dhaka-1216, BangladeshDepartment of Mathematics, Military Institute of Science and Technology, Dhaka-1216, Bangladeshpaysnmostafa79@gmail.comM. M.KarimDepartmentof Naval Architecture and Marine Engineering, BUET, Dhaka-1000, Bangladesh Departmentof Naval Architecture and Marine Engineering, BUET, Dhaka-1000, Bangladesh paysmmkarim@name.buet.ac.bdM. M. A.SarkerDepartment of Mathematics, BUET, Dhaka-1000, BangladeshDepartment of Mathematics, BUET, Dhaka-1000, Bangladeshpaysmasarker@math.buet.ac.bdCavitation CAV2003 hydrofoil Finite volume method Turbulence model Unsteady flow.[Alajbegovic, A., H. A. Groger and H. Philipp
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nozzle using the two-fluid model.12thAnnual
Conference on Liquid Atomization and Spray
Systems, Indianapolis, IN, USA.##
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Dynamics.Oxford University press, Oxford.##
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two–dimensional symmetrical hydrofoil with a
single fluid model. Fifth International
Symposium on Cavitation(Cav2003), Osaka,
Japan.##
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European Journal of Mechanics B/Fluids 24,
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simulations, Part two: Numerical simulation.
Proceedings of the Fifth International
Symposium on Cavitation, Osaka, Japan.##
Karim, M. M., N. Mostafa and M. M. A. Sarker
(2010). Numerical study of unsteady flow
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Architecture and Marine Engineering, 7(1), 51-
61.##
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Fifth International Symposium on
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Fifth International Symposium on
Cavitation(Cav2003), Osaka, Japan.##]An Analytical-Numerical Model for Two-Phase Slug Flow through a Sudden Area Change in Microchannels22In this paper, two new analytical models have been developed to calculate two-phase slug flow pressure drop in microchannels through a sudden contraction. Even though many studies have been reported on two-phase flow in microchannels, considerable discrepancies still exist, mainly due to the difficulties in experimental setup and measurements. Numerical simulations were performed to support the new analytical models and to explore in more detail the physics of the flow in microchannels with a sudden contraction. Both analytical and numerical results were compared to the available experimental data and other empirical correlations. Results show that models, which were developed based on the slug and semi-slug assumptions, agree well with experiments in microchannels. Moreover, in contrast to the previous empirical correlations which were tuned for a specific geometry, the new analytical models are capable of taking geometrical parameters as well as flow conditions into account.18391850A.Mehdizadeh MomenBuilding Technologies Research and Integration Center Oak Ridge National Laboratory Oak Ridge, TN, USABuilding Technologies Research and Integration Center Oak Ridge National Laboratory Oak Ridge, TN, USApaysmomena@ornl.govS. A.SherifDepartment of Mechanical and Aerospace Engineering, University of Florida, P.O, Box 116300, USADepartment of Mechanical and Aerospace Engineering, University of Florida, P.O, Box 116300, USApayssasherif@ufl.eduW. E.LearDepartment of Mechanical and Aerospace Engineering, University of Florida, P.O, Box 116300, USADepartment of Mechanical and Aerospace Engineering, University of Florida, P.O, Box 116300, USApayslear@ufl.eduSlug flow Microchannels Two-phase flow Sudden-area change.[Abdelall, F. F., G. Hahn, S. M. Ghiaasiaan, S. I. Abdel-
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]Computational Fluid Dynamics Modelling of a Midlatitude Small Scale upper Ocean Front22A numerical model is implemented to describe fluid dynamic processes associated with mid-latitude small-
scale (10 km) upper ocean fronts by using modified state of the art computational fluid dynamics tools. A
periodic system was simulated using three different turbulent closures: 1) URANS-Reynolds Stress Model
(RSM, seven equation turbulence model), 2) LES-Standard Smagorinsky (SS, algebraic model), and 3)
LES-Modified Smagorinsky, introducing a correction for non-isotropic grids (MS). The results show the
front developing instabilities and generating submesoscale structures after four days of simulation. A
strongly unstable shear flow is found to be confined within the mixed layer with a high Rossby number
(Ro > 1) and high vertical velocity zones. The positive (negative) vertical velocity magnitude is found to be
approximately O(10−3 ) m/s(O(10−2 ) m/s), one (two) order(s) of magnitude larger than the vertical velocity
outside the sub-mesoscale structures, where the magnitude is stable at O(10−4 ) m/s. The latter value is
consistent with previous numerical and experimental studies that use coarser grid sizes and therefore do not
explicitly calculate the small scale structures. The nonlinear flow introduced by the sub-mesoscale dynamics
within the mixed layer and the non-isotropic grid used in the calculations generates a disparity between the
predicted horizontal wave-number spectra computed using the RSM model with respect to the linear eddy
viscosity model SS. The MS approach improves SS predictions. This improvement is more significant
below the mixed layer in the absence of flow nonlinearities. The horizontal spectra predicted with the RSM
model fits a slope of −3 for large scale structures and a slope between −2 and −5/3 for turbulent structures
smaller than 300 m. This work contributes to the investigation of the physical and methodological aspects
for the detailed modelling and understanding of small scale structures in ocean turbulence.
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314.##]Numerical Simulation of Flow Separation Control using Multiple DBD Plasma Actuators22A numerical simulation method is employed to investigate the effect of the steady multiple plasma body forces on the flow field of stalled NACA 0015 airfoil. The plasma body forces created by multiple Dielectric Barrier Discharge (DBD) actuators are modeled with a phenomenological plasma method coupled with 2-dimensional compressible turbulent flow equations. The body force distribution is assumed to vary linearly in the triangular region around the actuator. The equations are solved using adual-timeimplicit finite volume method on unstructured grids. In this paper, the responses of the separated flow field to the effects of single and multiple DBD actuators over the broad range of angles of attack ( 9^0-〖30〗^0) are studied. The effects of the actuators positions on the flow field are also investigated. It is shown that the DBD have a significant effect on flow separation control in low Reynolds number aerodynamics.18651875R.KhoshkhooAerospace Engineering Department, Amirkabir University of Technology, Tehran, IranAerospace Engineering Department, Amirkabir University of Technology, Tehran, Iranpaysmahdi.khoshkhoo@gmail.comA.JahangirianAerospace Engineering Department, Amirkabir University of Technology, Tehran, IranAerospace Engineering Department, Amirkabir University of Technology, Tehran, Iranpaysajahan@aut.ac.irFlow Control Dielectric Barrier Discharge Numerical Simulation Multiple Plasma Body Forces Low Reynolds Number Flow.[Asada, K. and K. Fujii (2010). Computational
Analysis of Unsteady Flow field Induced by
Plasma Actuator in Burst Mode, 5th Flow
Control Conference. AIAA 2010-5090.
Chicago, Illinois.##
Baird, C., C. Enloe, T. McLaughlin and J. Baughn
(2005). Acoustic Testing of the dielectric barrier discharge (DBD) plasma actuator, 43rd
AIAA Aerospace Sciences Meeting and
Exhibit, American Institute of Aeronautics and
Astronautics.##
Corke, T., C. Enloe and S. Wilkinson (2010).
Dielectric Barrier Discharge Plasma Actuators
for Flow Control. Annual Review of Fluid
Mechanics 42(1), 505–529.##
Corke, T. and M. Post (2005). Overview of Plasma
Flow Control: Concepts, Optimization, and
Applications, 43rd AIAA Aerospace Sciences
Meeting and Exhibit, American Institute of
Aeronautics and Astronautics.##
Gaitonde, D. (2010). Three-dimensional plasmabased
flow control simulations with highfidelity
coupled first-principles approaches,
International Journal of Computational Fluid
Dynamics 24(7|), 259–279.##
Gaitonde, D., M. Visbal and S. Roy (2005). Control
of Flow Past a Wing Section with Plasmabased
Body Forces, 36th AIAA
Plasmadynamics and Lasers Conference,
American Institute of Aeronautics and
Astronautics.##
Greenblatt, D. and Wygnanski, I. J. (2000). The
control of flow separation by periodic
excitation, Progress in Aerospace Sciences
36(7), 487–545.##
Jahangirian, A. and M. Hadidoolabi (2005).
Unstructured moving grids for implicit
calculation of unsteady compressible viscous
flows, International Journal for Numerical
Methods in Fluids 47(10–11), 1107–1113.##
Jayaraman, B. and W. Shyy (2008). Modeling of
dielectric barrier discharge-induced fluid
dynamics and heat transfer Progress in
Aerospace Sciences 44(3), 139–191.##
Jayaraman, B., Y. Lian and W. Shyy (2007). Low-
Reynolds Number Flow Control Using
Dielectric Barrier Discharge-Based Actuators,
37th AIAA Fluid Dynamics Conference and
Exhibit, American Institute of Aeronautics and
Astronautics.##
Jayaraman, B. and W. Shyy (2003). Flow Control
and Thermal Management Using Dielectric
Glow Discharge Concepts,33rd AIAA Fluid
Dynamics Conference and Exhibit 1-12.##
Jiangnan, H., T. Bali, W. Yulin, S. Yahui, P.
Shucheng and L. Wenfeng (2014). Dielectric
barrier plasma dynamics for active
aerodynamic flow control. Science China
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353.##
Kaneda, I., S. Sekimoto, T. Nonomura, K. Asada,
A. Oyama and K. Fujii (2012). An Effective
Three-Dimensional Layout of Actuation
Body Force for Separation Control.
International Journal of Aerospace
Engineering 1–12.##
Kaneda, I. and K. Asada (2011). Effective Three
dimensional Layout of Imaginary Body
Force for Separation Control. 49th AIAA
Aerospace Sciences Meeting and Exhibit
(January), Orlando, Florida.##
Khoshkhoo, R. and A. Jahangirian (2014). Flow
Separation Control over Airfoils using DBD
Plasma Body Force. Journal of the Brazilian
Society of Mechanical Sciences and
Engineering.##
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Modeling of glow discharge-induced fluid
dynamics. Journal of Applied Physics 92(11),
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H. M. Moghaddam (2014). Experimental
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Discharge Plasma Actuator is Preferred to DC
Corona Wind Actuator in Boundary Layer
Flow Control. Journal of Applied Fluid
Mechanics 7(3), 525–534.##
Tsubakino, D. and Y. Tanaka (2007). Effective
Layout of Plasma Actuators for a Flow
Separation Control on a Wing. 45th AIAA
Aerospace Sciences Meeting and Exhibit,
Reno, Nevada.##
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transitional and turbulent flows using plasmabased
actuators. International Journal of
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CFD, Second Edition, DCW Industries,
California.##]Unsteady Hydromagnetic Flow past a Moving Vertical Plate with Convective Surface Boundary Condition22Investigation of unsteady MHD natural convection flow through a fluid-saturated porous medium of a viscous, incompressible, electrically-conducting and optically-thin radiating fluid past an impulsively moving semi-infinite vertical plate with convective surface boundary condition is carried out. With the aim to replicate practical situations, the heat transfer and thermal expansion coefficients are chosen to be constant and a new set of non-dimensional quantities and parameters are introduced to represent the governing equations along with initial and boundary conditions in dimensionless form. Solution of the initial boundary-value problem (IBVP) is obtained by an efficient implicit finite-difference scheme of the Crank-Nicolson type which is one of the most popular schemes to solve IBVPs. The numerical values of fluid velocity and fluid temperature are depicted graphically whereas those of the shear stress at the wall, wall temperature and the wall heat transfer are presented in tabular form for various values of the pertinent flow parameters. A comparison with previously published papers is made for validation of the numerical code and the results are found to be in good agreement.18771886G. S.SethDepartment of Applied Mathematics, Indian School of Mines, Dhanbad 826004, IndiaDepartment of Applied Mathematics, Indian School of Mines, Dhanbad 826004, Indiapaysgsseth_ism@yahoo.comS.SarkarSchool of Basic Sciences, Indian Institute of Technology, Bhubaneswar 751013, IndiaSchool of Basic Sciences, Indian Institute of Technology, Bhubaneswar 751013, Indiapayssarkar.ism@gmail.comA. J.ChamkhaMechanical Engineering Department, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi ArabiaMechanical Engineering Department, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabiapaysachamkha@yahoo.comUnsteady MHD natural convection flow Convective surface boundary condition Porous medium Optically thin fluid Non-similar solution.[Aziz, A. (2009). A similarity solution for laminar
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Elsevier.##]On the Onset of Taylor Vortices in Finite-Length Cavity Subject to a Radial Oscillation Motion22Taylor- Couette flow (TCF) is an important template for studying various mechanisms of the laminar-turbulent transition of rotating fluid in enclosed cavity. It is also relevant to engineering applications like bearings, fluid mixing and filtration. Furthermore, this flow system is of potential importance for development of bio-separators employing Taylor vortices for enhancement of mass transfer. The fluid flowing in the annular gap between two rotating cylinders has been used as paradigm for the hydrodynamic stability theory and the transition to turbulence. In this paper, the fluid in an annulus between short concentric cylinders is investigated numerically for a three dimensional viscous and incompressible flow. The inner cylinder rotates freely about a vertical axis through its centre while the outer cylinder is held stationary and oscillating radially. The main purpose is to examine the effect of a pulsatile motion of the outer cylinder on the onset of Taylor vortices in the vicinity of the threshold of transition, i.e., from the laminar Couette flow to the occurrence of Taylor vortex flow. The numerical results obtained here show significant topological changes on the Taylor vortices. In addition, the active control deeply affects the occurrence of the first instability. It is established that the appearance of the Taylor vortex flow is then substantially delayed with respect to the classical case; flow without control.18871896A.LalaouaFaculty of Physic, Laboratory of Thermodynamics and Energetic Systems, USTHB, Bp 32, El alia, Algiers, Algeria.Faculty of Physic, Laboratory of Thermodynamics and Energetic Systems, USTHB, Bp 32, El alia, Algiers, Algeria.payslalaouaadel@gmail.comA.BouabdallahFaculty of Physic, Laboratory of Thermodynamics and Energetic Systems, USTHB, Bp 32, El alia, Algiers, Algeria.Faculty of Physic, Laboratory of Thermodynamics and Energetic Systems, USTHB, Bp 32, El alia, Algiers, Algeria.paysbouabdallah.usthb@gmail.comCFD simulation Pulsating motion Finite geometry Active control Taylor-vortex flow.[Adnane, E., A. Lalaoua and A. Bouabdallah (2015).
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376.##]Peristaltic Pumping of a Casson Fluid in an Elastic Tube22This paper is concerned with the peristaltic transport of an incompressible non-Newtonian fluid in an elastic tube. Here the flow is due to three different peristaltic waves and two different types of elastic tube. The constitution of blood suggests a non-Newtonian fluid model and it demands the applicability of yield stress fluid model. Among the available yield stress fluid models for blood, the non-Newtonian Casson fluid is preferred. The Casson fluid model describes the flow characteristics of blood accurately at low shear rates and when it flows through small blood vessels. Long wavelength approximation is used to linearize the governing equations. The effect of peristalsis and non-Newtonian nature of blood on velocity, plug flow velocity, wall shear stress and the flux flow rate are derived. The flux is determined as a function of inlet, outlet, external pressures, yield stress, amplitude ratio, and the elastic properties of the tube. Furthermore, it is observed that, the yield stress, peristaltic wave, and the elastic parameters have strong effects on the flux of the non-Newtonian fluid, namely, blood. One of the important observation is that the flux is more when the tension relation is an exponential curve rather than that of a fifth degree polynomial. Further, in the absence of peristalsis and when the yield stress tends to zero our results agree with the results of Rubinow and Keller (1972). This study has significance in understanding peristaltic transport of blood in small blood vessels of living organisms. 18971905K.VajraveluDepartment of Mathematics, University of Central Florida, Orlando, FL 32816, USADepartment of Mathematics, University of Central Florida, Orlando, FL 32816, USApayskuppalapalle.vajravelu@ucf.eduS.SreenadhDepartment of Mathematics, Sri Venkateswara University, Tirupati 517502, AP, IndiaDepartment of Mathematics, Sri Venkateswara University, Tirupati 517502, AP, Indiapaysdrsreenadh@yahoo.co.inP. DevakiDepartment of Mathematics, MITS, Madanapalle 517 325AP, IndiaDepartment of Mathematics, MITS, Madanapalle 517 325AP, Indiapaysdrdevaki.palluru@gmail.comK. V.PrasadDepartment of Mathematics, VSK University, Vinayaka Nagar, Bellary-583 104, Karnataka, IndiaDepartment of Mathematics, VSK University, Vinayaka Nagar, Bellary-583 104, Karnataka, Indiapaysprasadkv2000@yahoo.co.inCasson fluid Peristaltic blood flow Fluid flux Amplitude ratio Wall shear stress Yield stress Elastic tube. [Abolbashari, M. H., N. Freidoonimehr, F. Nazari
and M. M. Rashidi (2015). Analytical
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Central European Journal of Physics 9(5),
1357-1365.##]Experimental Investigation and Optimization of Solid Suspension in Non-Newtonian Liquids at High Solid Concentration22This research deals with experimental work on solid suspension and dispersion in stirred tank reactors that operate with complex fluids. Only suspended speed (Njs) throughout the vessel was characterized using Gamma-Ray Densitometry. The outcomes of this study help to understand solid suspension mechanisms involving changes the rheology of the fluid and provide engineering data for designing stirred tanks. All experiments were based on classic radial and axial flow impellers, i.e., Rushton Turbine (RT) and Pitched Blade Turbine in down pumping mode (PBT-D). Three different liquids (water, water+CMC, and water+PAA) were employed in several concentrations. The CMC solution introduced as a pseudo plastic fluid and PAA solution was applied as a Herschel Bulkley fluid. The rheological properties of these fluids were characterized separately. According to the findings, the critical impeller speeds for solid suspension for non-Newtonian fluids were more eminent than those for water. Experiments were performed to characterize the effects of solid loading, impeller clearance and viscosity on Njs. Also the PSO method is employed to find suitable parameters of Zwietering's correlation for prediction of Njs in Non Newtonian fluids.19071914R.MollaabbasiDepartment of Chemical Engineering, Quchan University of Advanced Technologies Engineering, Quchan, IranDepartment of Chemical Engineering, Quchan University of Advanced Technologies Engineering, Quchan, Iranpaysmollaabbasi_roozbeh@yahoo.comJ.Mohebbi NajmabadDepartment of Computer Engineering, Quchan Branch, Islamic Azad University, Quchan, IranDepartment of Computer Engineering, Quchan Branch, Islamic Azad University, Quchan, Iranpaysjavad.mohebbi@gmail.comLiquid-Solid Stirred tank Gamma-ray densitometry non-Newtonian fluids Just Suspended Speed PSO.[Armenante, P. M. and C. C. Chou (1996). Velocity
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19151925C.MaatkiCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi ArabiaCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi Arabiapaysmaatkichems@yahoo.frW.HassenCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi ArabiaCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi Arabiapayshassen.walid@gmail.comL.KolsiCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi ArabiaCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi Arabiapayslioua_enim@yahoo.frN.AlShammariUnité de Métrologie et des Systèmes Energétiques, Ecole Nationale d’Ingénieurs, 5000 Monastir, University of Monastir, TunisiaUnité de Métrologie et des Systèmes Energétiques, Ecole Nationale d’Ingénieurs, 5000 Monastir, University of Monastir, Tunisiapayskh_330@hotmail.comM. Naceur BorjiniCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi ArabiaCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi Arabiapaysborjinimn@yahoo.comH. B.AissiaCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi ArabiaCollege of Engineering, Mechanical Engineering Department, Haïl University, Haïl City , Saudi Arabiapayshabib_enim@hotmail.frEntropy generation Magneto convection Heat and mass transfer.[Beghein, C., F. Haghighat and F. Allard (1992).
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S. Vlachos (2005). MHD natural convection in
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Transfer (48), 3443-3453.##
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convection in the presence of
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(2010). Transient double-diffusive convection
in an enclosure with large density variations.
International Journal of Heat and Mass
Transfer (53), 615-625.##
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heat and mass transfer by natural convection in
a vertical enclosure. International Journal of
Heat and Mass Transfer 104-112.##]Numerical Study of Laminar Natural Convection in an Arch Enclosure Filled with Al2O3-Water Based Nanofluid22This work numerically investigates the natural convection in an arch enclosure filled with Al2O3-water based nanofluid. The left side wall of the enclosure is maintained at a higher temperature than that of right side wall while the remaining walls are kept adiabatic. Two-dimensional steady-state governing equations are solved using the finite volume method (FVM). The present work is conducted to state the effects of pertinent parameters such as nanoparticles volume faction (ϕ) = 0 to 9%, curvature ratio (CR) = 1 to 1.5 and Rayleigh number (Ra) = 104 to 106 on fluid flow and temperature distribution. The numerical results are presented in the form of streamlines, isotherms, local and average Nusselt number. It is observed from the investigation that the variables are exhibiting a significant impact on the heat transfer. The heat transfer rate is enhanced with the increment in the volume fraction of the nanoparticles up to 5% and after that it is decreased gradually. The heat transfer rate is increased with the increase of curvature ratio and it is significantly higher at CR = 1.5. As per the expectation, the heat transfer is increased along with the increment in Rayleigh number. A good agreement is found between the present work and experimental & numerical results from the literature.19271936M. K.TriveniDepartment of Mechanical Engineering National Institute of Technology, Agartala-799046, IndiaDepartment of Mechanical Engineering National Institute of Technology, Agartala-799046, Indiapaystriveni_mikky@yahoo.comD.SenDepartment of Mechanical Engineering National Institute of Technology, Agartala-799046, IndiaDepartment of Mechanical Engineering National Institute of Technology, Agartala-799046, Indiapaysdipak_sen@ymail.comR.PanuaDepartment of Mechanical Engineering National Institute of Technology, Agartala-799046, IndiaDepartment of Mechanical Engineering National Institute of Technology, Agartala-799046, Indiapaysrajsekhar_panua@yahoo.co.inNatural convection Arch enclosure Nanofluid Curvature ratio Nusselt number.[Abu-Nada, E. (2008). Application of nanofluids for
heat transfer enhancement of separated flows
encountered in a backward facing step. Int. J.
Heat and Fluid Flow 29, 242-249.##
Abu-Nada, E. and et al. (2009). Effects of
inclination angle on natural convection in
enclosures filled with Cu–water nanofluid. Int.
J. Heat and Fluid Flow 30, 669-678.##
Abu-Nada, E. and et al. (2010). Effect of nanofluid
variable properties on natural convection in
enclosures. Int. J. Thermal Science 49, 479-
491.##
Ali, M. and et al. (2013). Natural convection heat
transfer inside vertical circular enclosure filled
with water-based Al2O3 nanofluids. Int. J.
Thermal Science 63, 115-124.##
Aminossadati, S. M. and et al. (2011). Enhanced
natural convection in an isosceles triangular
enclosure filled with a nanofluid. Computers
and Mathematics with Applications 61, 1739-
1753.##
Basak, T. and A. J. Chamka (2012). Heatline
analysis on natural convection for nanofluids
confined within square cavities with various
thermal boundary conditions. Int. J. Heat and
Mass Transfer 55, 5526-5543.##
Bhattacharya, P. and S. Das (2015). A study on
steady natural convection heat transfer inside a
square cavity for different values of Rayleigh
and nusselt numbers. Journal of applied Fluid
Mechanics 8(3), 635–640.##
Bose, P. K. and et al. (2013). Numerical analysis of
laminar natural convection in a quadrantal
cavity with a solid adiabatic fin attached to the
hot vertical wall. Journal of Applied Fluid Mechanics 6(4), 501–510.##
Chakma, A. J. and E. Abu-Nada (2012). Mixed
convection flow in single- and double- lid
square cavities filled with water-Al2O3
nanofluid: effect of viscocity models.
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and Mass Transfer 51, 4506-4516.##
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Buoyancy-driven heat transfer enhancement in
a two-dimensional enclosure utilizing
nanofluids. Int. J. Heat Mass Transfer 46,
3639–3653.##
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inclination and magnetic field on natural
convection flow induced by a vertical
temperature. Journal of Applied Fluid
Mechanics 5(1), 113–120.##
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simulation of natural convection heat transfer
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1941.##
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free convection of a nanofluid in L-shaped
cavities. Int. J. of Thermal Sciences 50, 1731-
1740.##
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free convection of a nanofluid in a square
cavity with an inside heater. Int. J. of Thermal
Sciences 50, 2161-2175.##
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convection in C-shaped enclosure. Int. J. of
Thermal Sciences 50, 76-89.##
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convection in a square cavity containing a
nanofluid and an adiabatic square block at the
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261-275.##
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Ghasemian (2010). Numerical study of natural
convection cooling of horizontal heat source
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Mass Transfer 37, 1135-1141.##
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simulation of mixed convection flows in a
square lid-driven cavity partially heated from
below using nanofluid. Int. Communication in
Heat and Mass Transfer 37, 1504–1512.##
Oztop, H. F. and Abu-Nada, E. (2008). Numerical
study of natural convection in partially heated
rectangular enclosures filled with nanofluids.
International Journal of Heat and Fluid Flow
29, 1326–1336.##
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131-137.##
Sheikhzadeh, G. A. and et al. (2012). Numerical
study of mixed convection flows in a liddriven
enclosure filled with nanofluid using
variable properties. Results in Physics 2, 5-13.##
Walid, A. and O. Ahmed (2010). Buoyancy induced
heat transfer and fluid flow inside a prismatic
cavity. Journal of Applied Fluid Mechanics
3(2), 77–86.##]On Couple Stress Effects on Unsteady Nanofluid Flow over Stretching Surfaces with Vanishing Nanoparticle Flux at the Wall22In this paper the problem of unsteady nanofluid flow over a stretching sheet subject to couple stress effects is presented. Most previous studies have assumed that the nanoparticle volume fraction at the boundary surface may be actively controlled. However, a realistic boundary condition for the nanoparticle volume fraction model is that the nanoparticle flux at the boundary be set to zero. This paper differs from previous studies in that we assume there is no active control of the nanoparticle volume fraction at boundary. The spectral relaxation method has been used to solve the governing equations, moreover the results were further confirmed by using the quasi-linearization method. The qualitative and quantitative effects of the dimensionless parameters in the problem such as the couple stress parameter, the Prandtl number, the Brownian motion parameter, the thermophoresis parameter, the Lewis number on the fluid behavior are determined.19371944F.Awad Department of pure & applied mathematics, university of Johannesburg, P.O. Box 524, Auckland Park 2006, Johannesburg, South Africa Department of pure & applied mathematics, university of Johannesburg, P.O. Box 524, Auckland Park 2006, Johannesburg, South Africapaysawad.fga@gmail.comN. A. H.HarounDepartment of Mathematics, Omdurman. I. University, Omdurman, Khartoum, SudanDepartment of Mathematics, Omdurman. I. University, Omdurman, Khartoum, Sudanpaysharoun@jafmonline.netP.SibandaSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Bag X01, Scottsville, Pietermaritzburg,3209, South AfricaSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Bag X01, Scottsville, Pietermaritzburg,3209, South Africapayssibandap@ukzn.ac.zaM.KhumaloDepartment of pure & applied mathematics, university of Johannesburg, P.O. Box 524, Auckland Park 2006, Johannesburg, South AfricaDepartment of pure & applied mathematics, university of Johannesburg, P.O. Box 524, Auckland Park 2006, Johannesburg, South Africapaysmkhumalo@uj.ac.zaNanofluid Couple stress Stretching surface Vanishing nanoparticle flux Spectral relaxation method.[Ahmad, S. and I. Pop (2010). Mixed convection
boundary layer flow from a vertical flat plate
embedded in a porous medium filled with
nanofluids. International Communications in
Heat and Mass Transfer 37, 987-991.##
Bachok, N., A. Ishak and I. Pop (2010). Boundarylayer
flow of nanofluids over a moving surface
in a flowing fluid. International Scientific
Journal Thermal Science 49, 1663-1668.
Buongiorno, J. (2006). Convective transport in
nanofluids. ASME Jouraenal Heat Transfer
128, 240-250.##
Daungthongsuk, W. and S. Wongwises (2007). A
critical review of convective heat transfer
nanofluids. Renewable and Sustainable Energy
Reviews 11, 797-817.##
Daungthongsuk, W. and S. Wongwises (2007).
nanofluidover a stretching sheet inthe presence
stretching sheet inthe presence
thermathermalradiation,Journal of Molecular
Liquids 198, 234–238.##
Devakar, M. and T. Iyengar (2010). Run up flow of
a couple stress fluid between parallel plates.
Nonlinear Analy-sis: Modelling and Control
15, 29-37.##
Devakar, M. and T. K. V. Iyengar (2010). Run up
flow of a couple stress fluid between parallel
plates. Nonlinear Analysis: Modelling and
Control 15, 29-37.##
Hayat, T., M. Mustafa, Z. Iqbal and A. Alsaedi
(2013). Stagnation point flow of couple stress
fluid with melting heat transfer. Applied
Mathematics and Mechanics 34, 167-176.##
Khan, N. A., A. Mahmood and A. Ara (2013).
Approximate solution of couple stress fluid
with expanding or contracting porous channel.
Engineering Computations 30, 399-408.##
Khan,W. A. and I. Pop (2010). Boundary layer flow
of a nanofluid past a stretching sheet.
International Journal Heat Mass Transfer 53,
2477-2483.##
Kuznetsov, A. V. and D. A. Nield (2010a). Effect of
local thermal non-equilibrium on the onset of
convection in a porous medium layer saturated
by a nanofluid. Transportation in Porous
Media 83, 425-436.##
Kuznetsov, A. V. and D. A. Nield (2010b). Natural
convective boundary layer flow of a nanofluid
past a vertical plate. International Scientific
Journal Thermal Science 49, 243-247.##
Kuznetsov, A. V. and D. A. Nield (2014). Natural
convective boundary layer flow of a nanofluid
past a vertical plate: A revised model.
International Journal of Thermal Sciences 77,
126-129.##
Malashetty, M. S., I. Pop, P. Kollur and W. Sidram
(2012). Soret effect on double diffusive
convection in a Darcy porous medium
saturatedwith a couple stress fluid.
International Journal of Thermal Sciences 53,
130-140.##
Motsa, S. S., P. G. Dlamini and M. Khumalo
(2012). Solving hyperchaotic systems using
the spectral relaxation method. Abstract and
Applied Analysis, V 203461,18.##
Motsa, S. S., P. G. Dlamini and M. Khumalo
(2013). On spectral relaxation method
approach for steady von Kármán flow of a
Reiner-Rivlin fluid with Joule heating, viscous
dissipation and suction or injection. Central
European Journal of Physics 11, 363-374.##
Nadeem, S. and S. Akram (2011). Peristaltic flowof
a couple stress fluid under the effect of
induced magnetic field in an asymmetric
channel. Archive of Applied Mechanics 81, 97-
109.##
Nield, D. A. and A. V. Kuznetsov (2009). The
Cheng Minkowycz problem for natural
convective boundary layer flow in a porous
medium saturated by nanofluids. International
Journal Heat Mass Transfer 52, 5792-5795.##
Nield, D. A. and A. V. Kuznetsov (2014a). Thermal
instability in a porous medium layer saturated
by a nanofluid: A revised model. International
Journal of Heat and Mass Transfer 68, 211-
214.##
Nield, D. A. and A. V. Kuznetsov (2014b). Forced
convection in a parallel-plate channel occupied
by a nanofluid or a porous medium saturated by a nanofluid. International Journal of Heat
and Mass Transfer 70, 430-433.##
Nield, D. A. and A. V. Kuznetsov (2014c). The
onset of convection in a horizontal nanofluid
layer of finite depth: A revised model.
International Journal of Heat and Mass
Transfer 77, 915-918.##
Oztop, H. F. and E. Abu-Nada (2008). Numerical
study of natural convection in partially heated
rectangular enclosures filled with nanofluids.
International Journal Heat Fluid Flow 29,
1326-1336.##
Oztop, H. F. and E. Abu-Nada (2008). Numerical
study of natural convection in partially heated
rectangular enclosures filled with nanofluids.
International Journal Heat Fluid Flow 29,
1326-1336.##
Ramana Murthy, J. V. and G. Nagaraju (2009).
Flow of a couple stress fluid generated by a
circular cylinder subjected to longitudinal and
torsional oscillations. Contemporary
Engineering Sciences 2, 451-461.##
Ramzan, M., M. Farooq, A. Alsaedi and T. Hayat
(2013). MHD threedimensional flow of couple
stress fluid with Newtonian heating. The
European Physical Journal Plus 128, 49.##
Rashidi, M., N. Vishnu Ganesh, A. Abdul Hakeem
and B. Ganga (2014). Buoyancy effect on
MHD flow of##
Sinha, P. and C. Singh (1984). Effects of couple
stresses on the blood flow through an artery
with mild stenosis. Biorheology 21, 303-315.
Stokes, V. K. (1966). Couple stresses in fluids.
Physics of Fluids 9, 1709-1715.##]Prediction of CO Concentration and Maximum Smoke Temperature beneath Ceiling in Tunnel Fire with Different Aspect Ratio22In a tunnel fire, the production of smoke and toxic gases remains the principal prejudicial factors to users. The heat is not considered as a major direct danger to users since temperatures up to man level do not reach tenable situations that after a relatively long time except near the fire source. However, the temperatures under ceiling can exceed the thresholds conditions and can thus cause structural collapse of infrastructure. This paper presents a numerical analysis of smoke hazard in tunnel fires with different aspect ratio by large eddy simulation. Results show that the CO concentration increases as the aspect ratio decreases and decreases with the longitudinal ventilation velocity. CFD predicted maximum smoke temperatures are compared to the calculated values using the model of Li et al. and then compared with those given by the empirical equation proposed by kurioka et al. A reasonable good agreement has been obtained. The backlayering length decreases as the ventilation velocity increases and this decrease fell into good exponential decay. The dimensionless interface height and the region of bad visibility increases with the aspect ratio of the tunnel cross-sectional geometry.19451953S.GannouniFaculty of Sciences of Tunis, Department of Physics, Laboratory of Energizing and Thermal and Mass Transfer, 2092 ElManar, Tunis, TunisiaFaculty of Sciences of Tunis, Department of Physics, Laboratory of Energizing and Thermal and Mass Transfer, 2092 ElManar, Tunis, Tunisiapaysgannounisoufien@gmail.comR.Ben MaadFaculty of Sciences of Tunis, Department of Physics, Laboratory of Energizing and Thermal and Mass Transfer, 2092 ElManar, Tunis, TunisiaFaculty of Sciences of Tunis, Department of Physics, Laboratory of Energizing and Thermal and Mass Transfer, 2092 ElManar, Tunis, Tunisiapaysbenmaadrejeb@yahoo.frTunnel fire Smoke hazard CO concentration Maximum smoke temperature Aspect ratio CFD. [Gao, P. Z., S. L. Liu, W. K. Chow and N. K. Fong
(2004). Large eddy simulations for studying
tunnel smoke ventilation. Tunn. Undergr. Sp.
Technol. 19, 577–586.##
Hu, L. H., N. K. Fong, L. Z. Yang, W. K. Chow, Y.
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Fire Dynamics Simulator (Version 5):
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(2009). Full-scale experimental study on
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inclination effect on CO generation and smoke
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and R. Roby (2002). Turbulence Statistics in a
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Fire Saf. J. 37, 721-752.##]Effect of Cubic Temperature Profiles on Ferro Convection in a Brinkman Porous Medium22The effect of cubic temperature profiles on the onset ferroconvection in a Brinkman porous medium in presence of a uniform vertical magnetic field is studied. The lower and upper boundaries are taken to be rigid-isothermal and ferromagnetic. The Rayleigh-Ritz method with Chebyshev polynomials of the second kind as trial functions is employed to extract the critical stability parameters numerically. The results indicate that the stability of ferroconvection is significantly affected by cubic temperature profiles and the mechanism for suppressing or augmenting the same is discussed in detail. It is observed that the effect of Darcy number magnetic number and nonlinearity of the fluid magnetization parameter is to hasten, while an increase in the ratio of viscosity parameter and Biot number is to delay the onset of ferroconvection in a Brinkman porous medium. Further, increase in and decrease in is to decrease the size of the convection cells.19551962C. E.NanjundappaDepartment of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore -560 056, IndiaDepartment of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore -560 056, Indiapayscenanju@hotmail.comI. S.ShivakumaraUGC-Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore – 560 001, IndiaUGC-Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore – 560 001, Indiapaysshivakumarais@gmail.comR.ArunkumarDepartment of Mathematics, Sai Vidya Institute of Technology, Bangalore- 560 064, IndiaDepartment of Mathematics, Sai Vidya Institute of Technology, Bangalore- 560 064, Indiapaysrakrrce@gmail.comFerrofluid Cubic temperature profiles Ferro convection in Brinkman porous medium Rayleigh-Ritz technique. [Borglin, S. E., J. Moridis and C. M. Oldenburg
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Nanjundappa, C. E. and I. S. Shivakumara (2008).
Effect of velocity and temperature boundary
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Transfer. 130, 104502-1-104502-5.##
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Penetrative ferroconvection via internal heating
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1678.##
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Symmetric Ferrofluid Flow and Heat Transfer in
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Magnetics. 16, 275-282.##]Drag Prediction in the Near Wake of a Circular Cylinder based on DPIV Data22This study focuses on drag prediction in the near-wake of a circular cylinder by use of mean velocity profiles and discusses the closest location where a wake survey would yield an accurate result. Although the investigation considers both the mean and fluctuating velocities, the main focus is on the mean momentum deficit which should be handled properly beyond a critical distance. Digital Particle Image Velocimetry (DPIV) experiments are performed in a Reynolds number range of 100 to 1250. Wake characteristics such as vortex formation length (L) and wake width (t) are determined and their relations to drag prediction are presented. Drag coefficients determined by momentum deficit formula are found to be in good agreement with experimental and numerical literature data in present Reynolds number regime.
19631968O.SonDepartment of Astronautical Engineering, Istanbul Technical University, Istanbul, 34469, TurkeyDepartment of Astronautical Engineering, Istanbul Technical University, Istanbul, 34469, Turkeypayssononurson@gmail.comO.CetinerDepartment of Astronautical Engineering, Istanbul Technical University, Istanbul, 34469, TurkeyDepartment of Astronautical Engineering, Istanbul Technical University, Istanbul, 34469, Turkeypayscetiner@itu.edu.trCircular cylinder Drag prediction DPIV Momentum deficit.[Antonia, R. A. and S. Rajagopalan
(1990).Determination of drag of a circular
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measurements of the vortical field in the wake
of an airfoil oscillating at high reduced
frequency. Journal of Fluid Mechanics 620, 63-
88.##
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Applied Physics 47(20), 205302.##
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about a circular cylinder. Physics of Fluids
16(10), 3828-3831.##
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Reynolds number airfoil and their prediction.
International Journal of Heat and Fluid Flow
32(1), 329-339.##]Newtonian and Joule Heating Effects in Two-Dimensional Flow of Williamson Fluid22In this article, we have studied the combined effects of Newtonian and Joule heating in two-dimensional flow of Williamson fluid over the stretching surface. Mathematical analysis is presented in the presence of viscous dissipation. The governing partial differential equations are reduced into the ordinary differential equations by appropriate transformations. Both series and numerical solutions are constructed. Graphical results for the velocity and temperature fields are displayed and discussed for various sundry parameters. Numerical values of local skin friction coefficient and the local Nusselt number are tabulated and analyzed.19691975T.HayatDepartment of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000, Pakistanpaysfmgpak@gmail.comA.ShafiqDepartment of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000, PakistanDepartment of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000, Pakistanpaysanumshafiq@ymail.comM. A.FarooqCentre for Advanced Mathematics and Physics (CAMP), National University of Sciences and Technology (NUST), Islamabad 44000, PakistanCentre for Advanced Mathematics and Physics (CAMP), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistanpaysasiffarooq.2007@gmail.comH. H.AlsulamiNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabiapayshhaalsalmi@kau.edu.saS. A.ShehzadComsats Institute of Information Technology, Sahiwal, PakistanComsats Institute of Information Technology, Sahiwal, Pakistanpaysali_qau70@yahoo.comHeat transfer Joule heating Williamson fluid Newtonian heating.[Abbasbandy, S., M. S. Hashemi and I. Hashim
(2013). On convergence of homotopy analysis
method and its application to fractional integrodifferential
equations. Quaestiones
Mathematicae 36(1), 93-105.##
Akbar, N. S., T. Hayat, S. Nadeem and S. Obaidat
(2012). Peristaltic flow of a Williamson fluid in
an inclined asymmetric channel with partial
slip and heat transfer. Int. J. Heat Mass
Transfer 55, 1855-1862.##
Baoku, I. G., B. I. Olajuwon and A. O. Mustapha
(2013). Heat and mass transfer on a MHD third
grade fluid with partial slip flow past an
infinite vertical insulated porous plate in a
porous medium. International Journal of
Heat and Fluid Flow 40, 81-88.##
Bhattacharyya, K., M. S. Uddin, G. C. Layeka and
W. Ali Pk (2011). Unsteady helical flows of
Oldroyd-B fluids. Communications in
Nonlinear Science and Numerical Simulation
16, 1378-1386.##
Dapra, I. and G. Scarpi (2007). Perturbation
solution for pulsatile flow of a non-Newtonian
fluid in a rock fracture. International Journal
of Rock Mechanics and Mining Sciences 44,
271-278.##
Ellahi, R., E. Shivanian, S. Abbasbandy, S. U.
Rahmanb and T. Hayat (2012). Analysis of
steady flows in viscous fluid with heat/mass
transfer and slip effects. International Journal
of Heat and Mass Transfer 55, 6384-6390.##
Farooq, U., T. Hayat, A. Alsaedi and S. Liao
(2014). Heat and mass transfer of two-layer
flows of third-grade nano-fluids in a vertical
channel. Applied Mathematics and
Computation 242(1), 528-540.##
Hayat, T, S. A. Shehzad, A. Alsaedi and M. S.
Alhothuali (2012). Mixed convection
stagnation point flow of Casson fluid with
convective boundary conditions. Chinese
Physics Letters 29, 114704.##
Hayat, T., A. Safdar, M. Awais and S. Mesloub
(2012). Soret and Dufour effects for three
dimensional flow in a viscoelastic fluid over a
stretching surface. International Journal of
Heat and Mass Transfer 55, 2129-2136.##
Hayat, T., A. Shafiq and A. Alsaedi (2015). MHD
axisymmetric flow of third-grade fluid by a
stretching cylinder. Alexandria Engineering
Journal 54, 205-212.##
Hayat, T., A. Shafiq, A. Alsaedi and S. Asghar
(2015). Effect of inclined magnetic field in
flow of third grade fluid with variable thermal
conductivity. AIP Advances 5, 087108.##
Hayat, T., A. Shafiq, M. Mustafa and A. Alsaedi
(2015). Boundary-layer flow of Walters'B fluid
with Newtonian heating. Zeitschrift für
Naturforschung A 70(5), 333-341.##
Hayat, T., A. Shafiq, M. Nawaz and A. Alsaedi
(2012). MHD axisymmetric flow of third grade
fluid between porous disks with heat transfer.
Applied Mathematics and Mechanics (English
Edition) 33, 749-764.##
Hayat, T., M. Farooq, Z. Iqbal and A. Alsaedi
(2012). Mixed convection Falkner-Skan flow
of a Maxwell fluid. Journal of Heat Transfer
134, 114504.##
Hayat, T., U. Shaheen, A. Shafiq and A. Alsaedi convection flow with Joule heating and
nonlinear radiation. AIP Advances 5 077140.##
Hayat, T., Z. Hussain, M. Farooq, A. Alsaedi and
M. Obaid (2014). Thermally stratified
stagnation point flow of an Oldroyd-B fluid.
International Journal of Nonlinear Sciences
and Numerical Simulation 15, 77-86.##
Hayat, T., Z. Iqbal and M. Mustafa (2012). Flow of
a Second grade fluid over a stretching surface
with Newtonian heating. Journal
of Mechanics 28, 209-216.##
Liao, S. J. (2012). Homotopy analysis method in
nonlinear differential equations. Springer and
HigherEducation Press.##
Makinde, O. D. and A. Aziz (2011). Boundary layer
flow of a nano fluid past a stretching sheet with
convective boundary conditions. International
Journal of Thermal Sciences 50, 1326-1332.##
Motsa, S. S., S. Shateyi, G. T. Marewo and P.
Sibanda (2012). An improved spectral
homotopy analysis method for MHD flow in a
semi-porous channel. Numerical Algorithms
60, 463-481.##
Mukhopadhyay, S. (2013). MHD boundary layer
flow and heat transfer over an exponentially
stretching sheet embedded in a thermally
stratified medium, Alexandria Engineering
Journal (in press).##
Nadeem, S. and N. S. Akbar (2012). Effects of heat
and mass transfer peristaltic flow of
Williamson fluid in a vertical annulus.
Meccanica 47, 141-151.##
Nadeem, S. and S. Akram (2010). Peristaltic flow
of a Williamson fluid in an asymmetric
channel. Communications in Nonlinear
Science and Numerical Simulation 15, 1705-
1716.##
Niu, J. Fu. C. and W. C. Tan (2010). Stability of
thermal convection of an Oldroyd-B fluid in a
porous medium with Newtonian heating.
Physics Letters A 374, 4607-4613.##
Ramzan, M., M. Farooq, A. Alsaedi and T. Hayat
(2013). MHD three dimensional flow of couple
stress fluid with Newtonian heating. European
Physical Journal Plus 128, 49.##
Rashidi, M. M., G. Domairry and M. T. Rastegari
(2012). Analytical solution for free convection
boundary-layer over a vertical cone in a Non-
Newtonian fluid saturated porous medium with
internal heat generation. World Applied
Sciences Journal 16, 64-74.##
Rashidi, M. M., M. Ali, N. Freidoonimehr and F.
Nazari (2013). Parametric analysis and
optimization of entropy generation in unsteady
MHD flow over a stretching rotating disk using
artificial neural network and particle swarm
optimization algorithm. Energy 497-510.##
Rashidi, M. M., S. C. Rajvanshi, N. Kavyani, M.
Keimanesh, I. Pop and B. S. Saini (2014).
Investigation of heat transfer in a porous
annulus with pulsating pressure gradient by
homotopy analysis method. Arabian Journal
for Science and Engineering (AJSE) 39(6),
5113-5128.##
Salleh, M. Z., R. Nazar and I. Pop (2010). Mixed
convection boundary layer flow about a solid
sphere with Newtonian heating. Arc. Mech. 62,
283-303.##
Shafiq, A., M. Nawaz, T. Hayat and A. Alsaedi
(2013). Magnetohydrodynamic axisymmetric
Flow of a third-grade fluid between two porous
disks. Brazilian Journal of Chemical
Engineering 30(3), 599-609.##
Shateyi, S. and S. S. Motsa (2010). Variable
viscosity on magnetohydrodynamic fluid flow
and heat transfer over an unsteady stretching
surface with Hall effect. Hindawi Publishing
Corporation: Boundary Value Problems.##
Sheikholeslami, M., R. Ellahi, H. R. Ashorynejad,
G. Domairry and T. Hayat (2014). Effect of
heat transfer in flow of nanofluids over a
permeable stretching wall in a porous medium.
Journal of Computational and Theoretical
Nanoscience 11, 486-496.##
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Fermi equation with a convergent approach.
Communications in Nonlinear Science and
Numerical Simulation 17, 4097-4103.##
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analytical solutions for the flow and heat
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International Journal of Heat and Mass
Transfer 57, 82-88.##
Vasudev, C., U. R. Rao, M. V. S. Reddy and G. P.
Rao (2010). Peristaltic pumping of Williamson
fluid through a porous medium in a horizontal
channel with heat transfer. American
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13, 656-666.##]Dissipative Effects in Hydromagnetic Boundary Layer Nanofluid Flow past a Stretching Sheet with Newtonian Heating22Two dimensional steady hydromagnetic boundary layer flow of a viscous, incompressible, and electrically
conducting nanofluid past a stretching sheet with Newtonian heating, in the presence of
viscous and Joule dissipations is studied. The transport equations include the combined effects
of Brownian motion and thermophoresis. The governing nonlinear partial differential equations are
transformed to a set of nonlinear ordinary differential equations which are then solved using Spectral
Relaxation Method (SRM) and the results are validated by comparison with numerical approximations
obtained using the Matlab in-built boundary value problem solver bvp4c, and with existing
results available in literature. Numerical values of fluid velocity, fluid temperature and species concentration
are displayed graphically versus boundary layer coordinate for various values of pertinent
flow parameters whereas those of skin friction, rate of heat transfer and rate of mass transfer at the
plate are presented in tabular form for various values of pertinent flow parameters. Such nanofluid
flows are useful in many applications in heat transfer, including microelectronics, fuel cells, pharmaceutical
processes, and hybrid-powered engines, engine cooling/vehicle thermal management,
domestic refrigerator, chiller, heat exchanger, in grinding, machining and in boiler flue gas temperature
reduction.19771989B. K.MahathaDepartment of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024, IndiaDepartment of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024, Indiapaysbhupeshmahatha@gmail.comR.NandkeolyarSchool of Mathematics, Thapar University, Patiala-147004, IndiaSchool of Mathematics, Thapar University, Patiala-147004, Indiapaysrajnandkeolyar@gmail.comG. K.MahatoDepartment of Mathematics, Centurion University of Technology & Management, Bhubaneswar-752050, IndiaDepartment of Mathematics, Centurion University of Technology & Management, Bhubaneswar-752050, Indiapaysmahatogk@gmail.comP.SibandaSchool of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South AfricaSchool of Mathematics, Statistics & Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, Pietermaritzburg, South Africapayssibandap@ukzn.ac.zaMagnetohydrodynamics Nanofluid Newtonian heating Joule dissipations Viscous dissipation.[Buongiorno, J. and W. Hu (2005). Nanofluid
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Proceedings of the 1995 ASME
International Mechanical Engineering
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ing fluid over an stretching permeable sheet in the presence of transverse magnetic field, thermal
radiation and non-uniform heat source/sink effects is investigated. The unsteadiness in the flow
and temperature fields is due to the time-dependent nature of the stretching velocity and the surface
temperature. Both opposing and assisting flows are considered. The dimensionless governing or-
dinary non-linear differential equations are solved numerically by applying shooting method using
Runge-Kutta-Fehlberg method. The effects of unsteadiness parameter, buoyancy parameter, thermal
radiation, Eckert number, Prandtl number and non-uniform heat source/sink parameter on the flow
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previously published results for the steady case are found to be excellent.19972007D.PalDepartment of Mathematics, Visva-Bharati University, Institute of Science, Santiniketan, West Bengal-731235, India.Department of Mathematics, Visva-Bharati University, Institute of Science, Santiniketan, West Bengal-731235, India.paysdulalp123@rediffmail.comBoundary layer flow Stretching sheet Magnetohydrodynamic Thermal radiation Mixed convection Heat transfer.[Abramowitz, M. and I. A. Stegun (1965).
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span. Suction based flow control is applied to this body that is developed for wind assisted ship
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without suction. Three turbulence models are applied: the Ri j SSG, the Ri j EBRSM and the v2 f
model. Then, computations are performed for the oval-sail fitted with suction grid. These last simu-
lations are carried out with the low-Reynolds-number Ri j EBRSM turbulence model. The influence
of the grid geometry on the oval-sail aerodynamic performances is highlighted. All simulations are
carried out for the sail set at zero incidence. The Reynolds number based on the free stream velocity
and the profile chord is Re = 5105. Results are compared to available experimental data.20092023O.GuerriCentre de Developpement des Energies Renouvelables, BP 62, Route de l’Observatoire, Bouzareah, CP 16340, Alger, AlgeriaCentre de Developpement des Energies Renouvelables, BP 62, Route de l’Observatoire, Bouzareah, CP 16340, Alger, Algeriapayso_guerri@yahoo.comE.LibergeLaSIE, Universite de La Rochelle, Avenue Michel Crepeau, 17042 La Rochelle Cedex 1, FranceLaSIE, Universite de La Rochelle, Avenue Michel Crepeau, 17042 La Rochelle Cedex 1, Francepayserwan.liberge@univ-lr.frA.HamdouniLaSIE, Universite de La Rochelle, Avenue Michel Crepeau, 17042 La Rochelle Cedex 1, FranceLaSIE, Universite de La Rochelle, Avenue Michel Crepeau, 17042 La Rochelle Cedex 1, Francepaysaziz.hamdouni@univ-lr.frFlow control Oval-sail Turbulence Numerical study URANS Suction.[Amitay, M. and Glezer A. (2002). Controlled
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313.##]Boundary Layer Flow and Heat Transfer over a Permeable Exponentially Stretching/Shrinking Sheet with Generalized Slip Velocity22In this paper, the steady laminar boundary layer flow and heat transfer over a permeable exponentially
stretching/shrinking sheet with generalized slip velocity is studied. The flow and heat transfer
induced by stretching/shrinking sheets are important in the study of extrusion processes and is a
subject of considerable interest in the contemporary literature. Appropriate similarity variables are
used to transform the governing nonlinear partial differential equations to a system of nonlinear ordinary
(similarity) differential equations. The transformed equations are then solved numerically
using the bvp4c function in MATLAB. Dual (upper and lower branch) solutions are found for a
certain range of the suction and stretching/shrinking parameters. Stability analysis is performed to
determine which solutions are stable and physically realizable and which are not stable. The effects
of suction parameter, stretching/shrinking parameter, velocity slip parameter, critical shear rate and
Prandtl number on the skin friction and heat transfer coefficients as well as the velocity and temperature
profiles are presented and discussed in detail. It is found that the introduction of the generalized
slip boundary condition resulted in the reduction of the local skin friction coefficient and local Nusselt
number. Finally, it is concluded from the stability analysis that the first (upper branch) solution
is stable while the second (lower branch) solution is not stable.20252036E. H.HafidzuddinSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysiapaysezadhafidz@gmail.comR.NazarSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysiapaysrmn@ukm.edu.myN. M.ArifinDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, MalaysiaDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysiapaysnorihanarifin@yahoo.comI.PopDepartment of Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, RomaniaDepartment of Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romaniapayspopm.ioan@yahoo.co.ukBoundary layer Heat transfer General slip Stretching/shrinking Numerical solution Dual solutions Stability analysis.[Ali, F., R. Nazar, N. Arifin, and I. Pop
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a viscous fluid. Boundary Value Problems
2013(1), 32.##
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14(4), 1064–1068.##
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Unsteady three-dimensional boundary
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sheet. Applied Mathematics and Mechanics
31(11), 1421–1428.##
Bachok, N., A. Ishak, and I. Pop (2012).
Boundary layer stagnation-point flow
and heat transfer over an exponentially
stretching/shrinking sheet in a nanofluid.
International Journal of Heat and Mass
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Effects of suction/blowing on steady
boundary layer stagnation-point flow
and heat transfer towards a shrinking
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Journal of Heat and Mass Transfer
54(1-3), 302–307.##
Bhattacharyya, K., S. Mukhopadhyay, and
G. Layek (2011). Slip effects on boundary
layer stagnation-point flow and heat
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Stagnation-point flow and heat transfer
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737.##]Diffusion-Thermo and Thermal Radiation of an Optically Thick Gray Gas in Presence of Magnetic Field and Porous Medium22Diffusion-thermo and thermal radiation effects on an unsteady magnetohydrodynamic (MHD) free convective flow past a moving infinite vertical plate with the variable temperature and concentration in the presence of transverse applied magnetic field embedded in a porous medium have been analyzed. The flow is governed due to the impulsive as well as accelerated motion of the plate. The governing equations have been solved by employing the Laplace transform technique. The influences of the pertinent parameters on the velocity field, temperature distribution, concentration of the fluid, shear stress, rate of heat and mass transfers at the plate have been presented either graphically or in tabular form.20372051B. C.SarkarDepartment of Applied Mathematics, Vidyasagar University, Midnapore 721 102, IndiaDepartment of Applied Mathematics, Vidyasagar University, Midnapore 721 102, Indiapaysbhaskar.sarkar450@gmail.comR. N.JanaDepartment of Applied Mathematics, Vidyasagar University, Midnapore 721 102, IndiaDepartment of Applied Mathematics, Vidyasagar University, Midnapore 721 102, Indiapaysjana261171@yahoo.co.inS.DasDepartment of Mathematics, University of Gour Banga, Malda 732 103, IndiaDepartment of Mathematics, University of Gour Banga, Malda 732 103, Indiapaystutusanasd@yahoo.co.inMagnetohydrodynamic (MHD) flow Impulsive and accelerated motion Radiation Diffusion porous medium. [Ahamed, S. and J. Zueco (2010). Combined heat
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Appl. Fluid Mech. 7(3), 447-458.##]Effects of Temperature on the Wave Soldering of Printed Circuit Boards: CFD Modeling Approach22ABSTRACT
This study investigated the effects of temperature on the wave soldering of printed circuit boards (PCBs) using three-dimensional finite volume analysis. A computational solder pot model consisting of a six-blade rotational propeller was developed and meshed using tetrahedral elements. The leaded molten solder (Sn63Pb37) distribution and PCB wetting profile were determined using the volume of fluid technique in the fluid flow solver, FLUENT. In this study, the effects of five different molten solder temperatures (456 K, 473 K, 523 K, 583 K, and 643 K) on the wave soldering of a 70 mm × 146 mm PCB were considered. The effects of temperature on wetting area, wetting profile, velocity vector, and full wetting time were likewise investigated. Molten solder temperature significantly affected the wetting time and distribution of PCBs. The molten solder temperature at 523 K demonstrated desirable wetting distribution and yielded a stable fountain profile and was therefore considered the best temperature in this study. The simulation results were substantiated by the experimental results.
20532062M. S.Abdul AzizSchool of Mechanical Engineering, Universiti Sains Malaysia, 14300 Nibong Tebal, Penang, Malaysia.School of Mechanical Engineering, Universiti Sains Malaysia, 14300 Nibong Tebal, Penang, Malaysia.payssharizalaziz1983@gmail.comM. Z.AbdullahSchool of Mechanical Engineering, Universiti Sains Malaysia, 14300 Nibong Tebal, Penang, Malaysia.School of Mechanical Engineering, Universiti Sains Malaysia, 14300 Nibong Tebal, Penang, Malaysia.paysmezul@usm.myC. Y.KhorFaculty of Engineering Technology (FETech), Universiti Malaysia Perlis (UniMAP), Level 1, Block S2, UniCITI Alam Campus, Sungai Chuchuh, 02100, Padang Besar, Perlis, Malaysia.Faculty of Engineering Technology (FETech), Universiti Malaysia Perlis (UniMAP), Level 1, Block S2, UniCITI Alam Campus, Sungai Chuchuh, 02100, Padang Besar, Perlis, Malaysia.payscykhor_1985@hotmail.comF.Che AniInstitute of Microengineering and Nanoelectronics, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia.Institute of Microengineering and Nanoelectronics, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia.paysfchean@celestica.comN. H.AdamSoil Instruments (M) Sdn Bhd, No. 12, Jln Utarid u5/14, Seksyen u5, Shah Alam, Selangor, Malaysia.Soil Instruments (M) Sdn Bhd, No. 12, Jln Utarid u5/14, Seksyen u5, Shah Alam, Selangor, Malaysia.payshana_adam85@yahoo.comWave soldering Wetting area Volume of fluid (VOF) Finite volume method Printed circuit board (PCB).[Abdul Aziz, M. S., M. Z. Abdullah and C. Y. Khor
(2014a). Influence of PTH offset angle in wave
soldering with thermal-coupling method,
Soldering & Surface Mount Technology 26(3),
97-109.##
Abdul Aziz, M. S., M. Z. Abdullah, C. Y. Khor and
F. Che Ani (2013). Influence of pin offset in
PCB through-hole during wave soldering
process: CFD modeling approach, International
Communications in Heat and Mass Transfer 48,
116-123.##
Abdul Aziz, M. S., M. Z. Abdullah, C. Y. Khor, A.
Jalar and F. Che Ani (2014b). CFD modeling of
pin shape effects on capillary flow during wave
soldering, International Journal of Heat and
Mass Transfer 72, 400-410.##
Arra, M., D. Shangguan, S. Yi, R. Thalhammer and
H. Fockenberger (2002). Development of leadfree
wave soldering process, IEEE Transactions
on Electronic Packaging Manufacturing 25(4),
289-299.##
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Newtonian and Gas-non–Newtonian Liquid
Flow through Elbows – CFD Analysis,Journal
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Baylakoglu, I., S. Hamarat, H. Gokmen and E.
Meric (2005). Case study for high volume leadfree
wave soldering process with environmental
benefits, ISEE, 102-106.##
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(2000). Development and validation of lead-free
wave soldering process, Soldering and Surface
Mount Technology 12(3), 29-34.##
Franken, K., H. R. Maier, K. Prumeand, R. Waser
(2000). Finite element analysis of ceramic
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by wave soldering and bending loads, Journal
of the American Ceramic Society 83(6), 1433-
1440.##
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PTH solder fillets-towards a solution,
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104-111.##
Khor, C. Y., M. K. Abdullah, M. Z. Abdullah, M.
A. Mujeebu, D. Ramdan, M. F. M. A. Majid
and Z. M. Ariff (2011). Effect of vertical
stacking dies on flow behavior of epoxy
molding compound during encapsulation of
stacked-chip scale packages, Heat and Mass
Transfer 46(11-12), 1315-1325.##
Ko, Y. K., H. T. Fuji, Y. S. Sato, C. W. Lee and S.
Yoo (2011). Advanced Solder TSV Filling
Technology Developed with Vacuum and Wave
Soldering, Electronic Components and
Technology Conference, IEEE, Lake Buena
Vista, FL, 2091–2095.##
Liukkonen, M., E. Havia, H. Leinonen and Y.
Hiltunen (2009). Application of self-organizing
maps in analysis of wave soldering process,
Expert Systems with Application 36, 4604-4609.
Liukkonen, M., E. Havia, H. Leinonen and Y.
Hiltunen (2011). Quality-oriented optimization
of wave soldering process by self-organizing
maps, Applied Soft Computing 11, 214-220.##
Morris, J. and M. J. O. Keefe (2003). Equipment
Impacts of Lead Free Wave Soldering, APEX
2003, Camdenton, MO.##
Mulugeta, A. and S. Guna (2000). Lead-free
Solders in Microelectronics, Materials Science
and Engineering 27, 95-141.##
Ong, E. E. S., M. Z. Abdullah, C. Y. Khor, W. K.
Loh, C. K. Ooi and R. Chan (2012a). Analysis
of encapsulation process in 3D stacked chips
with different microbump array, International
Communications in Heat and Mass Transfer 39,
1616-1623.##
Ong, E. E. S., M. Z. Abdullah, W. K. Loh, C. K.
Ooi and R. Chan (2012b). FSI implications of
EMC rheological properties to 3D IC with TSV
structures during plastic encapsulation process,
Microelectronics Reliability 63(4), 600-611.
Polsky, Y., W. Sutherlin and U. I. Charles (2000).##
A comparison of PWB warpage due to
simulated infrared and wave soldering
processes, IEEE Transactions on Electronics
Packaging Manufacturing 23(3), 191-199.##
Shen, L., M. Wang, Y. He, T. F. Lam and Y. Q.
Jiang (2005). Reflow profile simulation by
finite element method for a BGA
package,Proceeding of Electronic Packaging
Technology, 2005 6th International Conference,
30 August-2 September, 419-422.##
Suganuma, K., M. Ueshima, I. Ohnaka, H. Yasuda,
J.Zhu and T. Matsuda (2000). Lift-off
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Metallurgica 48, 4475-4481.##
Szoboszlai, Z., Z. Kertesz, S. Szikszai, A. Angyal,
E. Furu, Z. Torok, L. Daroczi and A. Z. Kiss
(2012). Identification and chemical
characterization of particulate matter from wave
soldering processes at a printed circuit board
manufacturing company, Journal of Hazardous
Materials 203-204, 308-316.##
Wassink, K. J. R. and M. M. F. Verguld (2000).
Manufacturing Techniques for Surface Mounted
Assemblies’’, Electrochemical Publications
Ltd., GB-Port Erin, British Isles, 17.##]Numerical Simulation of Rotating Vertical Bridgman Growth22The present work is proposed a numerical parametric study of heat and mass transfer in a rotating vertical cylinder during the solidification of a binary metallic alloy. The aim of this paper is to present an enthalpy formulation based on the fixed grid methodology for the numerical solution of convective-diffusion during the phase change in the case of the steady crucible rotation. The extended Darcy model including the time derivative and Coriolis terms was applied as momentum equation. It was found that the buoyancy driven flow and solute distribution can be affected significantly by the rotating cylinder. The problem is governed by the Navier-Stokes equations coupled with the conservation laws of energy and solute. The resulting system was discretized by the control volume method and solved by the SIMPLER algorithm proposed by Patankar. A computer code was developed and validated by comparison with previous studies. It can be observed that the forced convection introduced by rotation, dramatically changes the flow and solute distribution at the interface (liquid-mushy zone). The effect of Reynolds number on the Nusselt number, flow and solute distribution is presented and discussed. 20632071S.NouriLmfta, usth, Bab Ezzouar, Algiers, AlgeriaLmfta, usth, Bab Ezzouar, Algiers, Algeriapaysnouri290676@yahoo.frP.Spiterriirit, enseeiht, Toulouse, Franceirit, enseeiht, Toulouse, Francepaysspiterri@jafmonline.netA.GhezalLmfta, usth, Bab Ezzouar, Algiers, AlgeriaLmfta, usth, Bab Ezzouar, Algiers, Algeriapaysabdghezal@yahoo.frVertical Solidification Finite Volume method Numerical analysis Heat and mass transfer Phase Change Bridgman Growth.[Abbasoglu, S. (2012). Three-dimensional numerical
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Study of Te inclusions in CdMnTe crystals for
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Bellmann, M. P., E. A. Meese and L. Arnberg
(2011). Effet of accelerated crucible rotation on
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Journal of Crystal Growth 318, 239-243.##
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Twins in CdMnTe single crystals grown by
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Technology 45, 7-12.##]To Study Large Time Step High Resolution Low Dissipative Schemes for Hyperbolic Conservation Laws22Total Variation Diminishing (TVD) schemes are low dissipative and high resolution schemes but bounded by stability criterion CFL<1 for explicit formulation. Stability criteria for explicit formulation limits time stepping and thus increase computational cost (computational time, machine cost). Research in the field of large time step (LTS) scheme is an active field for last three decades. In present work, Zhan Sen Qian’s modified form of Harten LTS TVD scheme is studied and used to solve one dimensional benchmark test cases. SOD and LAX cases of shock tube problem are solved to understand the behavior of modified large time step scheme in regions of discontinuities and strong shock waves. The numerical results are found to be in good agreement with analytical results, except slight oscillations near contact discontinuity for larger values of K. Results also reveal that the discrepancy between numerical and analytical results near expansion fan, contact discontinuity and shock grows for larger values of K. Increase in discrepancy is due to the increase in truncation error. Truncation error strongly depends on step size and step size increases as CFL (or K) increases. In present work, the correction into the numerical formulation of characteristic transformation is discussed and the inverse characteristic transformations are performed using local right eigen vector in each cell interface location. This idea of extending Harten’s large time step method for hyperbolic conservation laws proved to be very useful as the results shows that the modified scheme is a high resolution low dissipative and efficient scheme for 1D test cases.20732081N. F.SiddiquiUniversity of Karachi, Karachi, 75270, PakistanUniversity of Karachi, Karachi, 75270, Pakistanpaysnfsiddiqui@uok.edu.pkM.HussainInstitute of Space Technology, Karachi, 75270, PakistanInstitute of Space Technology, Karachi, 75270, Pakistanpaysmrmukkarum@yahoo.comM. M.BaigNED University of Engineering and Technology, Karachi, 775270, Pakistan 75270NED University of Engineering and Technology, Karachi, 775270, Pakistan 75270paysbaig@neduet.edu.pkTVD scheme Shock tube problem Explicit scheme Efficient scheme 1D Euler equation.[Anderson. McGraw-Hill Education (1st Edition,
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Evaluation. Journal of Computational Physics.##]Numerical Investigation of Nozzle Geometry Effect on Turbulent 3-D Water Offset Jet Flows22Using the Yang-Shih low Reynolds k-ε turbulence model, the mean flow field of a turbulent offset jet issuing from a long circular pipe was numerically investigated. The experimental results were used to verify the numerical results such as decay rate of streamwise velocity, locus of maximum streamwise velocity, jet half width in the wall normal and lateral directions, and jet velocity profiles. The present study focused attention on the influence of nozzle geometry on the evolution of a 3D incompressible turbulent offset jet. Circular, square-shaped, and rectangular nozzles were considered here. A comparison between the mean flow characteristics of offset jets issuing from circular and square-shaped nozzles, which had equal area and mean exit velocity, were made numerically. Moreover, the effect of aspect ratio of rectangular nozzles on the main features of the flow was investigated. It was shown that the spread rate, flow entrainment, and mixing rate of an offset jet issuing from circular nozzle are lower than square-shaped one. In addition, it was demonstrated that the aspect ratio of the rectangular nozzles only affects the mean flow field of the offset jet in the near field (up to 15 times greater than equivalent diameter of the nozzles). Furthermore, other parameters including the wall shear stress, flow entrainment and the length of potential core were also investigated.20832095N.MohammadalihaSchool of Mechanical Engineering, Sharif University of Technology, Tehran, IranSchool of Mechanical Engineering, Sharif University of Technology, Tehran, Iranpaysnegar.aliha@gmail.comH.AfshinSchool of Mechanical Engineering, Sharif University of Technology, Tehran, IranSchool of Mechanical Engineering, Sharif University of Technology, Tehran, Iranpaysafshin@sharif.eduB.FarhaniehSchool of Mechanical Engineering, Sharif University of Technology, Tehran, IranSchool of Mechanical Engineering, Sharif University of Technology, Tehran, Iranpaysbifa@sharif.edu3D offset jet Numerical simulation Aspect ratio Rectangular nozzle Circular nozzle.[Agelin-Chaab, M. and M. F. Tachie (2011a).
Characteristics and structure of turbulent 3d
offset jets. International Journal of Heat and
Fluid Flow 32(3), 608–620.##
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Characteristics of turbulent three-dimensional
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43(13), 2395–2404.##
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1949–1959.##
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based k-ε model for near-wall turbulence. AIAA
Journal 31(7), 1191–1198.##
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Chung (1993). Comparative study of a turbulent
wall-attaching offset jet and a plane wall jet.
KSME Journal 7(2), 101–112.##
Zhiwei, L. I., H. U. I. A. Wenxin and Y. A. N. G.
Zhonghua (2012). Interaction between wall jet
and offset jet with different velocity and offset
ratio. Procedia Engineering 28, 49–54.##]Radiation and Viscous Dissipation Effects on Laminar Boundary Layer Flow Nanofluid over a Vertical Plate with a Convective Surface Boundary Condition with Suction22The problem of laminar radiation and viscous dissipation effects on laminar boundary layer flow over a vertical plate with a convective surface boundary condition is studied using different types of nanoparticles. The general governing partial differential equations are transformed into a set of two nonlinear ordinary differential equations using unique similarity transformation. Numerical solutions of the similarity equations are obtained using the Nachtsheim-Swigert Shooting iteration technique along with the fourth order Runga Kutta method. Two different types of nanoparticles copper water nanofluid and alumina water nanofluid are studied. The effects of radiation and viscous dissipation on the heat transfer characteristics are discussed in detail. It is observed that as Radiation parameter increases, temperature decreases for copper water and alumina water nanofluid and the heat transfer coefficient of nanofluids increases with the increase of convective heat transfer parameter for copper water and alumina water nanofluids. 20972103K.GangadharDepartment of Mathematics, ANUOC, Ongole-523001, A. P, India.Department of Mathematics, ANUOC, Ongole-523001, A. P, India.payskgangadharmaths@gmail.comLaminar boundary layer Nanofluids Radiation Viscous dissipation.[Anjali Devi S. P. and A. Julie (2011). Laminar
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71.##
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Investigations on the nanolayer heat transfer in
nanoparticles- in-liquid suspensions. ARPN
Journal of Engineering and Applied Sciences
6, 1.##
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Meccanica 21, 200–204.##
Hamad, M. A. A. and I. Pop (2011). Unsteady
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permeable flat plate in a rotating frame of
reference with constant heat source in a
nanofluid Heat Mass Transfer.##
Magyari, E. and A. J. Chamkha (2007). Exact
analytical solutions for thermosolutal
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and mass generation or consumption. Heat
and Mass Transfer 43, 965-974.##
Maiga, S. E. B., C. T. Nguyen, N. Galanis and G.
Roy (2004). Heat transfer behaviors of
nanofluids in a uniformly heated tube.
Superlattices and Microstructures 35, 543–
557.##
Nor Azizah, Y., A. Ishak, I. Pop and V.
Kuppalapalle (2011). Boundary layer flow past
a stretching/shrinkingsurface beneath an
external uniform shear flowwith a convective
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Nanoscale Research Letters 6, 314.##
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231.##
Sheikhzadeh, G. A., A. Arefmanesh and M.
Mahmoodi (2011). Numerical Study of Natural
Convection in a Differentially-Heated
Rectangular Cavity Filled with TiO2-Water
Nanofluid. Journal of Nano Research 13, 75-
80.##
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(2010). Numerical Study of Heat Transfer
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under Natural Convection. International
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Applications 1, 1.##
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2002–2018.##]