2012520132Effects of Thermal Radiation on Hydromagnetic Flow due to a Porous Rotating Disk with Hall Effect22Radiation effect on steady laminar hydromagnetic flow of a viscous, Newtonian and electrically conducting fluid past
a porous rotating infinite disk is studied taking Hall current into account. The system of axisymmetric nonlinear
partial differential equations governing the MHD flow and heat transfer are reduced to nonlinear ordinary differential
equations by introducing suitable similarity variables introduced by von Karman and the resulting nonlinear
equations are solved numerically using Runge-Kutta based shooting method. A parametric study of all parameters
involved was conducted and a representative set of results showing the effect of the magnetic field, the radiation
parameter, the uniform suction/injection parameter and Hall parameter are illustrated graphically. The numerical
values of the radial and tangential skin-friction coefficient and Nusselt number are calculated and displayed in the
tables showing the effects of various parameters. Finally, a good comparison between the present numerical
predictions and the previously published data are presented in the absence of magnetic field and radiation.17S. P. Anjali DeviDepartment of Applied Mathematics, Bharathiar University, Coimbatore- 641 046, IndiaDepartment of Applied Mathematics, Bharathiar University, Coimbatore- 641 046, Indiapayss.p.anjali.devi@jafmonline.netR. Uma DeviDepartment of Mathematics, Bharathiar University, Coimbatore- 641 046, India.Department of Mathematics, Bharathiar University, Coimbatore- 641 046, India.paysr.umadevimaths@gmail.comRotating disk Hall effect Radiation effect Skinfriction coefficient Nusselt number[Abdul Maleque, Kh. and Md. Abdul Sattar (2005).
Steady laminar Convective flow with variable
properties due to a porous rotating disk. J. of Heat
Transfer 127, 1406-1409.##
Ali, M.M., T.S. Chen and B.F. Armaly (1984). Natural
convection-radiation interaction in boundary layer
flow over horizontal surface. AIAA Journal 22,
1797-1803.##
Attia, H.A. (1998). Unsteady MHD flow near a rotating
porous disk with uniform suction or injection.
Fluid Dyn. Res. 23, 283-290.##
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hydromagnetic flow due to a rotating disk. Appl.
Math. Modelling 28, 1007-1014.##
Benton, E.R. (1966). On the flow due to a rotating disk.
J. Fluid Mech. 24, 781-800.##
Cochran, W.G. (1934). The flow due to a rotating disk.
Proc. Camb. Philos. Soc. 30, 365-375.##
El-Mistikawy, T.M.A., H.A. Attia and A.A. Megahed
(1990, November). The rotating disk flow in the
presence of a weak magnetic field. In Proc. 4th
Conference on Theoretical and Appl. Mech.,
Cairo, Egypt, 69-82.##
Hassan, A.L.A. and Hazem Ali Attia (1997). Flow due
to a rotating disk with Hall effect. Phys. ltts. A
228, 246-290.##
Hossain, M.A., M.A. Alim and D. Rees (1999). The
effect of radiation on free convection from porous
vertical plate. Int. J. Heat and Mass Transfer 42,
181-191.##
Hossain, M.A. (1986). Effect of Hall Current on
unsteady hydromagnetic free convection flow near
an infinite vertical porous plate. J. Phys. Soc.
Japan 55, 2183-2190.##
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interaction in boundary-layer flow over horizontal
surfaces. Ast. Phys. and Space Sci. 68, 263-276.##
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rotating disk flow. ANZIAM J. 42 ,C847- C855.##
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the flow near a rotating disk of infinite extent. J.
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Asymptotic Boundary conditions in Numerical
Solution of System of Nonlinear Boundary Layer
type. NASA TND3004.##
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of thermal radiation on MHD flow. Appl. Math.
and comp.153, 645-649.##
Raptis, A. and P.C. Ram (1984). Effects of Hall Current
and rotation. Astrophys. Space Sci. 106, 257-264.##
Rogers, M.G. and G.N. Lance (1960). The rotationally
symmetric flow of a viscous fluid in presence of
infinite rotating disk. J.Fluid Mech. 7, 617-631.##
Sparrow, E.M., G.S. Beavers and L.Y. Hung (1971).
Flow about a porous-surfaced rotating disk. Int. J.
Heat and Mass Transfer 14, 993-996.##
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the steady flow due to a rotating disk. Q. J. Mech.
Appl. Math. 7, 446-457.##
Suneetha, S., N.B. Reddy and V.R. Prasad (2011).
Radiation and mass Transfer effects on MHD free
convective dissipative fluid in the presence of heat
source/sink. J. Appl. Fluid Mech. 4, 107-113.##
Takhar, H.S., R. Gorla and V.M. Soundalgekar (1996).
Radiation effects on MHD free convection flow of
gas past a semi-infinite vertical plate. Int. J. of
Numerical Methods Heat and Fluid Flow 6, 77-83.##
Von Karman, T. (1921). Uber laminar and turbulent
Reibung, Z. Angew. Math. Mech. 1, 233-255.##]Transient Approach to Radiative Heat Transfer Free Convection Flow with Ramped Wall Temperature22The effect of radiation on natural convection incompressible viscous fluid near a vertical flat plate with ramped wall
temperature has been studied. An analytical solution of the governing equation has been obtained by employing
Laplace transform technique. It is examined that two different solutions for the fluid velocities, one valid for fluids of
Prandtl number Pr different from 1 Ra , Ra being the radiation parameter and the other for which the Prandtl
number equal to 1 Ra . The variations of velocities and fluid temperature are presented graphically. Furthermore,
the radiative heat transfer on natural convection flow near a ramped plate temperature has been compared with the
flow near a plate with the constant wall temperature. It is found that an increase in radiation parameter leads to rise
the fluid velocity as well as temperature.913R. R.PatraDepartment of Applied Mathematics,Vidyasagar University, Midnapore 721 102, West Bengal, IndiaDepartment of Applied Mathematics,Vidyasagar University, Midnapore 721 102, West Bengal, Indiapaysr.r.patra@jafmonline.netS.DasDepartment of Applied Mathematics,Vidyasagar University, Midnapore 721 102, West Bengal, IndiaDepartment of Applied Mathematics,Vidyasagar University, Midnapore 721 102, West Bengal, Indiapayss.das@jafmonline.netR. N.JanaDepartment of Applied Mathematics,Vidyasagar University, Midnapore 721 102, West Bengal, IndiaDepartment of Applied Mathematics,Vidyasagar University, Midnapore 721 102, West Bengal, Indiapaysr.n.jana@jafmonline.netS. K.GhoshDepartment of Mathematics, Narajole Raj College,Narajole, Midnapore 721 211, West Bengal, IndiaDepartment of Mathematics, Narajole Raj College,Narajole, Midnapore 721 211, West Bengal, Indiapaysg_swapan2002@yahoo.comNatural convection Radiation Ramped temperature Isothermal plate and Stefan-Boltzman constant[Bestman, A.R. and S.K. Adiepong (1988). Unsteady
hydromagnetic free convection flow with radiative
heat transfer in a rotating fluid. Astrophysics and
Space science 143, 73-80.##
Brewster, M.Q. (1992). Thermal Radiative Transfer
and Properties. John Wiley and Sons, Inc., New
York.##
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with free convection heat transfer. Int. J. Heat
Mass Transfer 9, 1269-1277.##
Cheng, P. (1965). Study Of the Flow Of a Radiating
Gas by a Differential Approximation. Ph. D. thesis,
Standford University, California, U.S.A.##
Chandran, P., N.C. Sacheti and A.K. Singh (2005).
Natural Convection near a vertical plate with
ramped wall temperature. Heat Mass Transfer 41,
459-464.##
England, W.G. and A.F. Emery (1969). Thermal
radiation effects on the laminar free convection
boundary layer of an absorbing gas. Journal of
Heat Transfer 91, 37- 44.##
Ghosh, S.K. and I. Pop (2007). Thermal radiation of an
optically thick gray gas in the presence of indirect
natural convection. International Journal of Fluid
Mechanics Research 34(6), 515-520.##
Hottel , H.C. and A. Sarofim (1967). Radiation Heat
Transfer, MacGraw Hill.##
Hossain, M.A. and H.S. Takhar (1996). Radiation
effect on mixed convection along a vertical plate
with uniform surface temperature. Heat and Mass
Transfer 31, 243-248.##
Isachenko, V.P., V.A. Osipova and A.S. Sukomel
(1969). Heat Transfer, Mir Publishers, Moscow.##
Muthucumaraswamy, R. and P. Ganesan (2003).
Radiation effects on flow past an impulsively
started infinite vertical plate with variable
temperature. Int. J. Applied Mechanics and
Engineering 8(1), 125-129.##
Naroua, H., P.C. Ram, A.S. Sambo and H.S.Takhar
(1998). Finite element analysis of natural
convection flow in a rotating fluid with radiative
heat transfer. Journal of Magnetohydrodynamics
and Plasma Research 7(4), 257-274.##
Raptis, A. and C. Perdikis (2003). Thermal radiation of
an optically thin gray gas. Int. J. of Applied
Mechanics and Engineering 8(1), 31-134.##
Takhar, H.S. and R.S.S. Gorla and V.M. Soundalgekar
(1996). Radiation effects on MED free convection
flow of a radiating gas past a semi-infinite vertical
plate. Int. J. Numerical Methods Heat Fluid flow
6, 77-83.##]Experimental and Numerical Simulation of the Effect of Particles on Flow Structures in Secondary Sedimentation Tanks22Sedimentation tanks are designed for removal of floating solids in water flowing through the water treatment plants.
These tanks are one of the most important parts of water treatment plants and their performance directly affects the
functionality of these systems. Flow pattern has an important role in the design and performance improvement of
sedimentation tanks. In this work, an experimental study of particle-laden flow in a rectangular sedimentation tank
has been performed. Kaolin was used as solid particles in these experiments. Also, a numerical simulation was
developed using the finite volume method with a k-ε turbulent model. The results of the numerical model agree well
with the experimental data. Hydrodynamic parameters and flow patterns of the fresh water flow and particle-laden
flow are also compared in this study. The results show that the existence of particles completely changes the flow
structures. It seems that the main reason for this phenomenon is the particles settling. Our experimental observations
and numerical results show that parameters such as the maximum streamwise velocity, fully developed location,
shear stress coefficient at the bottom of the tank and so on are different in water-containing particles compared to
pure water and the inlet concentration strongly intensifies the differences.1523H.AsgharzadehSchool of Mechanical Engineering, Sharif university of Technology, Tehran, IranSchool of Mechanical Engineering, Sharif university of Technology, Tehran, Iranpaysh.asgharzadeh@jafmonline.netB.FiroozabadiSchool of Mechanical Engineering, Sharif university of Technology, Tehran, IranSchool of Mechanical Engineering, Sharif university of Technology, Tehran, Iranpaysfiroozabadi@sharif.eduH.AfshinSchool of Mechanical Engineering, Sharif university of Technology, Tehran, IranSchool of Mechanical Engineering, Sharif university of Technology, Tehran, Iranpaysh.afshin@jafmonline.netExperimental investigation Numerical simulation k-ε turbulent model Rectangular sedimentation tank Particle-laden flows[Celik, I., and W. Rodi (1985). Prediction of
Hydrodynamic Characteristics of Rectangular
Settling Tanks. Int. Symp. On Refined Flow
Modeling and Turbulence Measurements 20(1),
641–665.##
Firoozabadi, B., H. Afshin, E. Aram, (2009). Three
Dimensional Modeling of Density Current in
Straight Channel. Journal of Hydraulic
Engineering, ASCE 41(6), 623-630.##
Hervouet, J.M. (2007). Hydrodynamics of Free Surface
Flows: Modeling with the finite element method.
John Wiley & Sons Ltd, England, 13-18.##
Hosseini, S.A, A. Shamsai, B. Ataie-Ashtiani (2006).
Synchronous Measurements of the Velocity and
Concentration in Low Density Turbidity Currents
using an Acoustic Doppler Velocimeter. Flow
Measurement and Instrumentation 17, 59–68.##
Imam, E. and J.A. McCorquodale (1983). Simulation of
Flow in Rectangular Clarifiers. Journal of
Environmental Engineering 109(30), 713-730.##
Kerbs, P. (1995). Success and Shortcomings of Clarifier
Modeling. Wat. Sci. Tech. 2(31), 181-191.##
Kleine, D., and B.D. Reddy (2005). Finite Element
Analysis of Flows in Secondary Settling Tanks.
Journal for Numerical Methods in Engineering 64,
849–876.##
Lohrmann, A., R. Cabrera, N.C. Karus (1994). Acoustic
Doppler Velocimeter for Laboratory use. Proc,
Symposium on Fundamental and advancements in
Hydraulic measurements. ASCE., New York, 351-
365.##
Mazzolani, G., F. Pirozzi, and G.D. Antoni (1998). A Generalized Settling Approach in the Numerical
Modeling of Sedimentation Tanks. Wat. Sci. Tech.
3(38), 95-102.##
Stamou, C.R and W. Rodi, (1990). Evaluating the
Effect of Geometrical Modification on the
Hydraulic Efficiency of Water Tanks Using Flow
Through Curves and Mathematical Models.
Journal of Hydro Informatics, ASCE 20(1), 77-83.##
Tamayol, A., B. Firoozabadi, M. A. Ashjari, (2010).
Hydrodynamics of Secondary Settling Tanks and
Increasing Their Performance Using Baffles.
Journal of Environmental Engineering, ASCE
136(1), 32-39.##
Tamayol, A., B. Firoozabadi, G. Ahmadi, (2008).
Effects of Inlet Position and Baffle Configuration
on Hydraulic Performance of Primary Settling
Tanks. Journal of Hydraulic Engineering, ASCE
134(7), 1004-1009.##
Tamayol A., and B. Firoozabadi, (2006). Effects of
Turbulent Models and Baffle Position on
Hydrodynamics of Settling Tanks. Scientia Iranica
13(3), 255–260.##
Zhou, S., C. Vitasovic, J.A. McCorquodale, S. Lipke,
M. DeNicola, and P. Saurer, (1997). Improving
Performance of Large Rectangular Secondary
Clarifiers. Proceedings of the 70th Annual WEF
Conference and Exposition, Chicago, USA.##]The Effect of Temperature Dependent Viscosity on MHD Natural Convection Flow from an Isothermal Sphere22Laminar magnetohydrodynamic (MHD) natural convection flow from an isothermal sphere immersed in a fluid with
viscosity proportional to linear function of temperature has been studied. The governing boundary layer equations are
transformed into a non-dimensional form and the resulting nonlinear system of partial differential equations are
reduced to convenient form which are solved numerically by two very efficient methods, namely, (i) Implicit finite
difference method together with Keller box scheme and (ii) Direct numerical scheme. Numerical results are presented
by velocity and temperature distribution, streamlines and isotherms of the fluid as well as heat transfer characteristics,
namely the local skin-friction coefficients and the local heat transfer rate for a wide range of magnetohydrodynamic
paramagnet and viscosity-variation parameter.2531M. M.MollaDepartment of Electrical Engineering & Computer Science, North South University, Dhaka1229, BangladeshDepartment of Electrical Engineering & Computer Science, North South University, Dhaka1229, Bangladeshpaysmmamun@gmail.comS. C.SahaSchool of Chemistry, Physics & Mechanical Engineering, Queensland University of Technology, 2 George St., GPO Box 2434, Brisbane QLD 4001, AustraliaSchool of Chemistry, Physics & Mechanical Engineering, Queensland University of Technology, 2 George St., GPO Box 2434, Brisbane QLD 4001, Australiapayss.c.saha@jafmonline.netM. A.HossainDepartment of Mathematic, COMSATS Institute of Information Technology, Islamabad, PakistanDepartment of Mathematic, COMSATS Institute of Information Technology, Islamabad, Pakistanpaysm.a.hossain@jafmonline.netNatural convection MHD Temperature dependent viscosity Finite difference Sphere[Cebeci, T., and P. Bradshaw (1984). Physical and
Computational Aspects of Convective heat
Transfer. Springer, New York.##
Charraudeau, J. (1975). Influence de gradients de
properties physiques en convection force
application au cas du tube. Int. J. Heat Mass
Trans. 18, 87-95.##
Chen, T.S., and A. Mocoglu (1977). Analysis of mixed
forced and free convection about a sphere. Int. J.
Heat Mass Transfer 20, 867-875.##
Cheng C.Y. (2010). Natural convection boundary layer
flow of fluid with temperature-dependent viscosity
from a horizontal elliptical cylinder with constant
surface heat flux. Applied Mathematics and
Computation, In Press.##
Cheng, C.Y. (2009). Natural convection heat transfer
from a horizontal isothermal elliptical cylinder
with internal heat generation. International
Communications in Heat and Mass Transfer
36, 346-350.##
Chiang, T., A. Ossin., and C.L. Tien (1964). Laminar
free convection from a sphere. ASME J. Heat
Transfer 86, 537-542.##
Chowdhury, M.K., and M.N. Islam (2000). MHD free
convection flow of visco-elastic fluid past an
infinite porous plate. Heat and Mass Transfer 36,
439-447.##
Hossain, M.A., M.S. Munir, and D.A.S. Rees (2000).
Flow of viscous incompressible fluid with
temperature dependent viscosity and thermal
conductivity past a permeable wedge with uniform
surface heat flux. Int. J. Therm. Sci. 39, 635-644.##
Hossain, M.A., K.C.A Alam, and D.A.S. Rees (1997).
MHD forced and free convection boundary layer
flow along a vertical porous plate. Applied
Mechanics and Engineering 2(1), 33-51.##
Hossain, M.A., and M. Ahmed (1990). MHD forced
and free convection boundary layer flow near the
leading edge. Int. J. Heat Mass Transfer 33(3),
571-575.##
Hossain, M.A., M.S. Munir, and R.S. Gorla (2002).
Combined convection from a vertical flat plate
with temperature dependent viscosity and thermal
conductivity. Int. J. Fluid Mech. Res. 29(6), 725-
741.##
Huang, M.J., and C.K. Chen (1987). Laminar free
convection from a sphere with blowing and
suction. ASME J. Heat Transfer 109, 529-532.##
Keller, H.B. (1978). Numerical methods in boundary
layer theory, Annual Rev. Fluid Mech. 10, 417-
433.##
Molla, M.M., M.A. Hossain and R.S.R. Gorla (2009).
Natural Convection Laminar Flow with
Temperature Dependent Viscosity and Thermal
Conductivity along a Vertical Wavy Surface.
International Journal of Fluid Mechanics
Research 36, 272-288.##
Molla, M.M, M.A. Hossain, and M.A. Taher (2006).
Magnetohydrodynamic natural convection flow on
a sphere with uniform heat flux in presence of heat
generation. Acta Mechanica 186, 75-86.##
Molla, M.M, M.A. Hossain, and R.S.R. Gorla (2005).
Natural convection flow from an isothermal
horizontal circular cylinder with temperature
dependent viscosity. Heat Mass Transfer 41, 594-
598.##
Molla, M.M., M.A. Taher, M.K. Chowdhury, and M.A.
Hossain (2005). Magnetohydrodynamic natural
convection flow on a sphere in presence of heat
generation. Nonlinear Analysis: Modelling and
Control 10(4), 349-363.##
Molla, M.M, M.A. Hossain, and M.R.S. Gorla (2004).
Conjugate effect of heat and mass transfer in
natural convection flow from an isothermal sphere
with chemical reaction. Int. J. Fluid Mech. Res.
31(4), 319-331.##
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.##
Nazar, N., T. Grosan, N. Amin, Pop I. (2002). Free
convection boundary layer on an isothermal sphere
in a micropolar fluid, Int. Comm. Heat Mass
Transfer 29(3), 377-386.##
Raptis, A., and N. Kafousian (1982).
Magnetohydrodynamic free convection flow and
mass transfer through a porous medium bounded
by an infinite vertical porous plate with constant
heat flux. Canadian Journal of Physics 60(12),
1725-1729.##
Sharma, P.R., and G. Singh (2009). Effects of variable
thermal conductivity and heat source / sink on
MHD flow near a stagnation point on a linearly
stretching sheet. Journal of Applied Fluid
Mechanics 2(1), 13-21.##
Uddin, Z., and M. Kumar (2009). Effect of temperature
dependent properties on MHD free convection
flow and heat transfer near the lower stagnation
point of a porous isothermal cylinder. Computer
Modelling and New Technologies 13, 15–20.##
Vajravelu, K., and A. Hadjinicolaou (1997). Convective
heat transfer in an electrically conducting fluid at a
stretching surface with uniform free stream. Int. J.
Eng. Sci. 35, 1237-1244.##]Influence of Heat Input, Working Fluid and Evacuation Level on the Performance of Pulsating Heat Pipe22An experimental study on pulsating heat pipe (PHP) is presented in this work. A closed loop PHP with a single U
turn is fabricated and tested. The transient and steady state experiments are conducted and operating temperatures are
measured. The experiments are carried out for different working fluids, heat input and for different evacuation levels.
The derived parameters include thermal resistance and heat transfer coefficient of PHP. The results of these
experiments show an intermittent motion of the working fluid at lower heat input. The temperature difference
between evaporator and condenser at steady state is found lower for acetone compared to water, ethanol and
methanol. Lower value of thermal resistance and higher value of heat transfer coefficient are observed in case of
acetone compared to water, ethanol and methanol. Lower values of temperature difference between evaporator and
condenser and thermal resistance and higher value of heat transfer coefficient are observed at atmospheric conditions
of operation of PHP compared to evacuation conditions. The Power Spectral Density Analysis is also carried out on
the results of these experiments using FFT technique to analyse the pulsating motion of the fluid in a PHP. In the
Power Spectral Density analysis, the frequency distribution of temperature variation in PHP was observed over a
wider range, signifying the periodic motion in the fluid flow of the liquid slug and vapour plug. This characteristic
frequency corresponded to the characteristic time for a couple of adjacent vapour plug and liquid slug passing
through a specific local wall surface in a PHP.3342K. Rama NarasimhaCentre for Emerging Technologies, Jain University, Bangalore, Karnataka, 562112, IndiaCentre for Emerging Technologies, Jain University, Bangalore, Karnataka, 562112, Indiapaysk.ramanarasimha@gmail.comS. N.SridharaK.S. School of Engineering and Management, Bangalore, Karnataka, 560062, IndiaK.S. School of Engineering and Management, Bangalore, Karnataka, 560062, Indiapayss.n.sridhara@jafmonline.netM. S.RajagopalGlobal Academy of Technology, Bangalore, Karnataka, 560098, IndiaGlobal Academy of Technology, Bangalore, Karnataka, 560098, Indiapaysm.s.rajagopal@jafmonline.netK. N.SeetharamuP.E.S. Institute of Technology, Bangalore, Karnataka, 560085, IndiaP.E.S. Institute of Technology, Bangalore, Karnataka, 560085, Indiapaysk.n.seetharamu@jafmonline.netPulsating heat pipe Electronic Cabinet cooling FFT analysis[Akachi, H. (1996). Structure of a Heat Pipe. US Patent,
5490558.##
Akachi, H. (1993). Structure of a Heat Pipe. US Patent,
5219020.##
Corey, A.W. (2006). Experimental Investigation of
Nanofluid Oscillating Heat Pipes. M. Sc. Thesis,
University of Missouri, Columbia.##
Faghri, A. (1995). Heat Pipe Science and Technology.
Taylor and Francis, Washington.##
Khandekar, S. (2008, April). Multiple Quasi – Steady
states in a closed loop Pulsating Heat Pipe. NTUSIITK
2nd Joint Workshop in Mechanical, Aerospace and Industrial Engineering, IIT,
Kanpur, India.##
Khandekar, S. (2004). Thermo Hydrodynamics of
Pulsating Heat Pipes. Ph. D. Dissertation,
University of Stuttgart, Germany.##
Kline, S.J., K.N. and Mcclintock (1953). The
descriptions of Uncertainties in single sample
experiments. Mechanical Engineering 75.##
Ma, H.B., B. Borgmeyer, P. Cheng, and Y. Zhang
(2008). Heat Transport Capability in an oscillating
Heat Pipe. ASME J. of Heat Transfer 130, 081501-
1 to 081501-7.##
Ma, H.B., M.A. Hanlon, C.L. Chen (2006). An
Investigation of oscillating motions in a
miniature pulsating heat pipe. Microfluidics and
Nanofluidics 2, 171-179.##
Piyanun Charoensawan, P., S. Khandekar, M. Groll,
and P. Terdtoon (2003). Closed loop Pulsating
Heat Pipes, Part – A: Parametric Experimental
Investigations. Applied Thermal Engineering
23(16), 2009 – 2020.##
Rama Narasimha, K., S.N. Sridhara, M.S. Rajagopal,
and K.N. Seetharamu (2010). Parametric Studies
on Pulsating Heat Pipes. International Journal of
Numerical Methods for Heat and Fluid Flow
20(4), 392 - 415.##
Rama Narasimha, K., S.N. Sridhara, and M.S.
Rajagopal (2008). Experimental Studies on
Pulsating Heat Pipe. International Journal of
Mechanical Engineering 1(1), 46 – 49.##
Sakulchangsatjatai, P., T. Terdtoon, P.
Wongratanaphisan, M. Kamonpet, and Murakami
(2004). Operational modeling of closed end and
closed loop oscillating heat pipes at normal
operating condition. Applied Thermal Engineering
24, 995 – 1008.##
Shafii, M.B., and A. Faghri (2002). Analysis of heat
transfer in unlooped and looped pulsating heat
pipes. International J. of Numerical Methods for
Heat and Fluid Flow 12(5), 585 – 609.##
Shafii, B.M., A. Faghri, and Y. Zhang (2001). Thermal
modeling of unlooped pulsating heat pipes.
ASME J. Heat Transfer 123(6), 1159-1172.##
Xu, J.L., and X.M. Zhang (2005). Start-up and steady
thermaloscillation of a Pulsating Heat Pipe. Heat
and Mass Transfer 41, 685 – 694.##
Zhang, X., M. Xu, and Z.Q. Zhou (2004). Experimental
Study of a Pulsating Heat Pipe using FC – 72,
Ethanol and Water as working fluids.
Experimental heat Transfer 17, 47 – 67.##
Zhang, Y., and A. Faghri (2003). Oscillatory Flow in
Pulsating Heat Pipes with Arbitrary number of
turns. J. of Thermo Physics and Heat transfer
17(3), 340 – 347.##
Zhang, Y., and A. Faghri (2002). Heat Transfer in a
pulsating heat pipe with open end. Int. J. Heat
Mass Transfer 45(4), 755-764.##
Zhang, Y., A. Faghri, and M.B. Shafii (2002). Analysis
of liquid vapour pulsating flow in a U-shaped
miniature tube. Int. J. Heat Mass Transfer45,
2501-2508.##]Buoyancy Driven Heat Transfer in Cavities Subjected to Thermal Boundary Conditions at Bottom Wall22Natural convection in cavities is studied numerically using a finite volume based computational procedure. The
enclosure used for flow and heat transfer analysis has been bounded by adiabatic top wall, constant temperature cold
vertical walls and a horizontal bottom wall. The bottom wall is subjected to uniform/sinusoidal/linearly varying
temperatures. Nusselt numbers are computed for Rayleigh numbers (Ra) ranging from 103 to 107 and aspect ratios
(H/L) 0.5 and 1. Air is taken as working fluid (Pr = 0.7). Results are presented in the form of stream lines, isotherm
plots and average Nusselt numbers. It is observed from this study that the uniform temperature at the bottom wall
gives higher Nusselt number compared to the sinusoidal and linearly varying temperature cases. The average Nusselt
number increases monotonically with Rayleigh number for both aspect ratio 1 and 0.5 for bottom wall and side walls.
For the case of aspect ratio 1, the average Nusselt number for a given Rayleigh number increases at the bottom wall
compared to aspect ratio 0.5. However, the average Nusselt number increases as the aspect ratio decreases from 1 to
0.5 for side wall except for uniform temperature case.4353unspecifiedAswathaDepartment of Mechanical Engineering, Bangalore Institute of Technology, Bangalore, Karnataka, 560 004, INDIADepartment of Mechanical Engineering, Bangalore Institute of Technology, Bangalore, Karnataka, 560 004, INDIApaysaswath_bit@yahoo.co.inC. J. Gangadhara GowdaDepartment of Mechanical Engineering, PES College of Engineering, Mandya - 571 401, INDIADepartment of Mechanical Engineering, PES College of Engineering, Mandya - 571 401, INDIApaysc.j.gangadharagowda@jafmonline.netS. N.SridharaRotary Machinery Division, M. S. Ramaiah School of Advanced Studies, Bangalore - 560 054, INDIARotary Machinery Division, M. S. Ramaiah School of Advanced Studies, Bangalore - 560 054, INDIApayss.n.sridhara@jafmonline.netK. N.SeetharamuDepartment of Mechanical Engineering, PES Institute of Technology, Bangalore - 560 085, INDIADepartment of Mechanical Engineering, PES Institute of Technology, Bangalore - 560 085, INDIApaysk.n.seetharamu@jafmonline.netNatural convection Cavities Aspect ratio Thermal boundary conditions Numerical heat transfer[Basak, T., S. Roy and A.R. Balakrishnan (2006). Effect
of thermal boundary conditions on natural
convection flows with in a square cavity.
International Journal of Heat and Mass Transfer
49, 4525-4535.##
Batchelor, G.K. (1993). An introduction to fluid
dynamics. Cambridge University Press.##
Chadwick, L., B.M. Webb and R. Ricci (1991).
Experimental and Numerical investigations on
natural convection from two dimensional discrete
heat sources in a rectangular enclosure. Int. J. Heat
and mass transfer 34, 1679-1693.##
Corcione, M. (2003). Effects of the thermal boundary
conditions at the sidewalls upon natural convection
in rectangular enclosures heated from below and
cooled from above. Int. J. Therm. Sci. 42, 199-
208.##
Cormack, D.E., L.G. Leal and J.H. Seinfeld (1974).
Natural convection in shallow cavity with
differentially heated end walls. Part 2, Numerical
solutions. J. Fluid Mech. 65, 231-246.##
Cotton, I. (1978). Natural convection in enclosures.
Proceedings of the 6th International Heat Transfer
Conference 61979, Toronto, 13-43.##
Dehghan, A.A. and M. Behnia (1996). Combined
natural convection-conduction and radiation heat
transfer in a discretely heated open cavity. J. Heat
Transfer, Transactions of ASME 118, 56-64.##
Dixit, H.N. and V. Babu (2006). Simulation of high
Rayleigh number natural convection in a square
cavity using the lattice Boltzmann method. Intl. J.
Heat and Mass Transfer 49, 727-739.##
Eckert, E.R.G. and W.O. Carlson (1961). Natural
convection in an air layer enclosed between two
vertical plates with different temperatures. Int. J.
Heat Transfer 2, 106-120.##
Emery, N. and C. Chu (1965). Heat transfer across
vertical layers. J. Heat Transfer 87, 110-114.##
Erenburg, V., A.Y. Gelfgat, E. Kit, P.Z. Bar-Yoseph
and A. Solan (2003). Multiple states, stability and
bifurcations of natural convection in a rectangular
cavity with partially heated vertical walls. J. Fluid
Mechanic 492, 63-89.##
Hall, J.D., A. Bejan, and J.B. Chaddock, (1988).
Transient natural convection in a rectangular
enclosure with one heated side wall. Int. J. Heat
Fluid Flow 9, 396-404.##
Jaluria, Y. (1980). Natural convection heat and mass
transfer. Pergamon, Oxford, 209-235.##
Lage, J.L. and A. Bejan (1993). The resonance of
natural convection in an enclosure heated
periodically from the side. Int. J. Heat Mass
Transfer 36, 2027-2038.##
Lage, J.L. and A. Bejan (1991). The Ra - Pr domain of
laminar natural convection in an enclosure heated
from the sides. Numerical Heat Transfer Part A
19, 21-41.##
Leong, W.H., K.G.T. Hollands and A.P. Brunger
(1999). Experimental Nusselt numbers for a
Cubical-cavity benchmark problem in natural
convection. Int. J. Heat Mass Transfer 42, 1979-
1989.##
Lo, D.C., D.L. Young and C.C. Tsai (2007). High
resolution of 2D natural convection in a Cavity by
the DQ method. Journal of Computational and
Applied Mathematics 203, 219-236.##
Nicolette, V.F., K.T. Yang and J.R. Lloyd (1985).
Transient cooling by natural convection in a twodimensional
square enclosure. Int. J. Heat Mass
Transfer 28, 1721-1732.##
Ostrach, S. (1988). Natural convection in enclosures.
Journal of Heat Transfer 110, 1175-1190.##
Ostrach, S. (1970). An experimental investigation of
natural convection in a horizontal Cylinder. J.
Fluid Mech 44(2c), 545-561.##
Refai Ahmed, G. and M.M. Yovanovich (1991).
Influence of discrete heat source location on
convection heat transfer in a vertical square
enclosure. ASME J. Electronic Packaging 113,
268-274.##
Sarris, I.E, I. Lekakis and N.S. Vlachos (2002). Natural
convection in a 2D enclosure with sinusoidal upper
wall temperature. Numerical Heat Transfer A 42,
513–530.##
Wakashima, S. and T.S. Saitoh (2004). Benchmark
solutions for natural convection in a cubic cavity
using the high-order time-space methods. Int. J.
Heat Mass Transfer 47, 853-864.##
Weinbaum, S. (1964). Natural convection in horizontal
cylinders. J. Fluid Mech.18, 409-448.##
Xia, C. and J.Y. Murthy (2002). Buoyancy-driven flow
transitions in deep cavities heated from below.
ASME Trans. J. Heat Transfer 124, 650-659.##
Yang, K.T. (1988). Transitions and bifurcations in
laminar buoyant flows in confined enclosures.
Journal of Heat Transfer 110, 1191–1204.##]On the Effects of Rotation on the Passive Scalar and Kinematic Fields of Homogeneous Sheared Turbulence22In this work, the effect of rotation on the evolution of kinematic and passive scalar fields in two dimensional
homogeneous sheared turbulence is studied using two different approaches. The first one is analytical and it consists
on the resolution of differential linear equations governing the turbulence at high shear when the non linear effects
are neglected. The second one is numerical and it consists on the modeling of governing equations using the most
known second order models of turbulence and their numerical integration using the fourth order Runge-kutta method.
In this second approach, the classic Launder Reece Rodi model, the Speziale Sarkar Gatski and the Shih Lumley
models are retained for the pressure-strain correlation, pressure-scalar gradient correlation and for the time evolution
equations of the kinematic and scalar dissipations. The evolution of turbulence is studied according to the
dimensionless rotation number R which is varied from -0.75 to 0.5. The obtained results are compared to the recent
results of the DNS of Brethouwer. Both methods have confirmed the existence of asymptotic equilibrium states for
dimensionless kinematic and scalar parameters.5565B.ChebbiLaboratoire de mécanique des fluides, Département de Physique, Faculté des Sciences de TunisLaboratoire de mécanique des fluides, Département de Physique, Faculté des Sciences de Tunispaysb.chebbi@jafmonline.netM.BouzaianeLaboratoire de mécanique des fluides, Département de Physique, Faculté des Sciences de TunisLaboratoire de mécanique des fluides, Département de Physique, Faculté des Sciences de Tunispaysmbouzaiane@yahoo.frTurbulence with the rotation Passive scalar field Second order modeling Asymptotic behavior[Bouzaiane, M., H. Ben Abdallah and T. Lili (2004). A
second order modeling of a stably stratified
sheared turbulence submitted to a non vertical
shear. Journal of turbulence 5.##
Bouzaiane, M., H. Ben Abdallah and T. Lili (2003). A
stably on the asymptotic behaviors of
dimensionneless parameters in a stably
homogeneous sheared turbulence. Journal of
turbulence.##
Brethouwer, G. (2005). The effect of rotation on
rapidly sheared homogeneous turbulence and
passive scalar transport. J Fluid Mechanic 542,
305-342.##
Cadiou, A. (1996). A Contribution to the Study of
Second Order Turbulence Closure Models. Ph.D.
thesis, Central school of Nantes France.##
Chebbi, B., M. Bouzaiane and T. Lili (2009).
Prediction of equilibrium states of kinematic
and thermal fields in homogeneous turbulence
submitted to the rotation. International Symposium
on Convective Heat and Mass Transfer in
Sustainable Energy 200, 376- 379.##
Chebbi, B., M. Bouzaiane and T. Lili (2007). Second
order closur modeling of homogeneous sheared
turbulence in a rotating frame, 18th French
congress of Mechanics 2007-0711, Grenoble –
France.##
Frank ,G. Jacobitz., Lukas Liechtenstein, Kai Shneider
and Marie Farge (2008). On the structure and
dynamics of sheared and rotating turbulence:
Direct numerical simulation and wavelet-based
coherent vortex extraction. Physics of Fluids 20,
045103-1.##
Holt, S.E., J.R. Koseff, J.H. Ferziger (1992).
Anumerical study of the evolution and structure of
homogeneous stably stratified sheared turbulence.
Journal Fluid Mechanic 237, 499-539.##
Khaleghi, K., M.Pasandideh. Fard, M. Malek. Jafarian
and Y.M Chung (2010).Assessment of Common
Turbulence Models under Conditions of Temporal
Acceleration in a Pipe. Journal of Applied Fluid
Mechanics 3(1), 25-33.##
Hanjalic, K. (1994). Advanced turbulence closure
models: a view of current status and future
prospects. Int. J. Heat and Fluid Flow 15(3).##
Launder, B.E., G. Reece and W. Rodi (1975). Progress
in the development of a Reynolds stress closure.
Journal Fluid Mechanic 68, 537-576.##
Poroseva, S. V., S.C. Kassinos, C.A. Langer, W.C.
Reynolds (2002). Structure-based Turbulence
model: application to a rotating pipe flow. Phys.
Fluids 14, 1523–1532.##
Ristorcelli, J.R., J.L. Lumley and R. Abid (1998).
Rapid–pressure correlation representation
consistent with the Taylor-Proudman theorem
materially-frame-indifferent in the 2D limit.
Institute for computer applications in science and
engineering (ICASE), VA23681, NASA Langley
research center, Hampton.##
Schiestel, R. and L. Elena (1997). Modeling of
anisotropic turbulence in rapid rotation.
Aerospace Science and Thechnology 7(7),
4416451.##
Shih, T., T.H . Constitutives (1996). Relations and
Realisability of Single-Point Turbulence Closures,
in TurbulenceTransition and Modeling. edited by
Mr.Hallback D.S. Hennigson and A.V. Johansson
and P.H. Alfredsson, Dordrech.##
Shih, T., J. Chen and L.L. Lumley (1985a). Second
order modeling of boundary-free turbulent shear
flows with a new model form of pressure
correlation. Rept. FDA-85-3, Sibley School of
Mech. and Aerospace Eng., Cornell University.##
Shih, T., J. Chen and L. Lumley (1985b). Modeling of
pressure correlation terms in Reynolds-stress and
scalar flux equations. Rept.FDA-85-3, Sibley
School of Mech. And Aerospace Eng., Cornell
University.##
Sodja, J., R. Podgornik (2007). Turbulence models in
CFD. University of Ljubljana Faculty for
mathematics and physics.##
Speziale, C.G. and N.M.G. Mhuris (1988). Scaling laws
for homogeneous turbulent shear flows in a
rotating frame. NASA Report 23665, NASA
Langley research center, Hampton, Virginia.##
Speziale, C.G. and T.B. Gatski (1997). Analysis and
modeling of anisotropies in the dissipation rate of
turbulence. Journal Fluid Mechanic 344, 15-180.##
Speziale, C.G., S. Sarkar and T.B. Gatski (1990).
Modeling the pressure strain correlation of
turbulence an invariant dynamical systems
approach. NASA Report 23665-5225, NASA
Langley research center, Hampton, Virginia.##
Speziale, C.G. and N.M.G. Mhiris (1989). On the
prediction of equilibrium states in homogeneous
Turbulence. Journal Fluid Mechanic 209, 591-
615.##
Tavoularis, S. and S. Corrsin (1981). Experiments in
nearly homogeneous turbulent shear flow with a
uniform mean temperature gradient, Part1. Journal
fluid mechanic 104, 311-347.##
Wang, Y., K. Nagata and S. Komori (2000). Strongly
stably stratified grid turbulence using second
moment closure, A IAA J. 8, 31-38.##]Effects of Hall Current and Rotation on Unsteady MHD Couette Flow in the Presence of an Inclined Magnetic Field22Unsteady hydromagnetic Couette flow of a viscous incompressible electrically conducting fluid in a rotating system
in the presence of an inclined magnetic field taking Hall current into account is studied. Fluid flow within the channel
is induced due to impulsive movement of the lower plate of the channel. Exact solution of the governing equations is
obtained by Laplace transform technique. The expression for the shear stress at the moving plate is also derived.
Asymptotic behavior of the solution is analyzed for small and large values of time t to highlight (i) the transient
approach to the final steady state flow and (ii) the effects of Hall current, magnetic field, rotation and angle of
inclination of magnetic field on the flow-field. It is found that Hall current and rotation tend to accelerate fluid
velocity in both the primary and secondary flow directions. Magnetic field has retarding influence on the fluid
velocity in both the primary and secondary flow directions. Angle of inclination of magnetic field has accelerating
influence on the fluid velocity in both the primary and secondary flow directions.6774G. S.SethDepartment of Applied Mathematics, Indian School of Mines, Dhanbad-826004, IndiaDepartment of Applied Mathematics, Indian School of Mines, Dhanbad-826004, Indiapaysgsseth_ism@yahoo.comR.NandkeolyarSchool of Applied Sciences, KIIT University, Bhubaneswar-751024, IndiaSchool of Applied Sciences, KIIT University, Bhubaneswar-751024, Indiapaysr.nandkeolyar@jafmonline.netMd. S.AnsariSchool of Petroleum Technology, Pandit Deendayal Petroleum University, Gandhinagar-382007, IndiaSchool of Petroleum Technology, Pandit Deendayal Petroleum University, Gandhinagar-382007, Indiapaysmd.s.ansari@jafmonline.netMHD Couette flow Hall current Inclined magnetic field Modified Ekman-Hartmann boundary layer Rayleigh boundary layer Spatial and inertial oscillations[Chandran, P., N.C. Sacheti and A.K. Singh (1993).
Effect of rotation on unsteady hydromagnetic
Couette flow. Astrophys. Space Sci. 202, 1-10.##
Das, S., S.L. Maji, M. Guria and R.N. Jana (2009).
Unsteady MHD Couette flow in a rotating system.
Math. Comp. Modelling 50, 1211-1217.##
Ghosh, S.K. and Pop, I. (2004). Hall effects on MHD
plasma Couette flow in a rotating environment.
Int. J. Appl. Mech. Engng. 9, 293–305.##
Ghosh, S.K. (2001). A note on unsteady hydromagnetic
flow in a rotating channel permeated by an
inclined magnetic field in the presence of an
oscillator. Czech. J. Phys. 51, 799-804.##
Ghosh, S.K. (1996). Hydromagnetic flow in a rotating
channel permeated by an inclined magnetic field in
the presence of oscillator. Czech. J. Phys. 46, 85-
95.##
Ghosh, S.K. (1991). A note on steady and unsteady
hydromagnetic flow in a rotating channel in the
presence of inclined magnetic field. Int. J. Engng.
Sci. 29, 1013-1016.##
Guria, M., S. Das, R.N. Jana and S.K. Ghosh (2009).
Oscillatory Couette flow in the presence of an
inclined magnetic field. Meccanica 44, 555-564.##
Hayat, T., S. Nadeem and S. Asghar (2004 a).
Hydromagnetic Couette flow of an Oldroyd-B
fluid in a rotating system. Int. J. Engng. Sci. 42,
65-78.##
Hayat, T., S. Nadeem, A.S. Siddiqui and S. Asghar
(2004 b). An oscillating hydromagnetic non-
Newtonian flow in a rotating system. Appl. Math.
Lett. 17, 609-614.##
Hayat, T., Y. Wang and K. Hutter (2004 c). Hall effects
on the unsteady hydromagnetic oscillatory flow of
a second-grade fluid. Int. J. Non-linear Mech. 39,
1027-1037.##
Jana, R.N. and N. Datta (1980). Hall effects on MHD
Couette flow in a rotating system. Czech. J. Phys.
B 30, 659-667.##
Katagiri, M. (1962). Flow formation in Couette motion
in magnetohydrodynamics. J. Phys. Soc. Japan 17,
393–396.##
Mandal, G., K.K. Mandal and G. Choudhury (1982).
On combined effects of Coriolis force and Hall
current on steady MHD Couette flow and heat
transfer. J. Phys. Soc. Japan 51, 2010-2015.##
Seth, G.S. and S.K. Ghosh, (1986). Unsteady
hydromagnetic flow in a rotating channel in the
presence of oblique magnetic field. Int. J. Engng.
Sci. 24, 1183-1193.##
Seth, G.S., Md.S. Ansari and R. Nandkeolyar (2010).
Unsteady hydromagnetic Couette flow within
porous plates in a rotating system. Adv. Appl.
Math. Mech. 2, 286-302.##
Seth, G.S., R.N. Jana and M.K. Maiti (1982). Unsteady
hydromagnetic Couette flow in a rotating system.
Int. J. Engng. Sci. 20, 989-999.##
Seth, G.S., R. Nandkeolyar, N. Mahto and S.K. Singh
(2009 a). MHD Couette flow in a rotating system
in the presence of inclined magnetic field. Appl.
Math. Sci. 3, 2919-2932.##
Seth, G.S., R. Nandkeolyar and Md. S. Ansari (2009
b). Hall effects on oscillatory hydromagnetic
Couette flow in a rotating system. Int. J. Acad.
Res. 1, 6-17.##]Dynamic Analysis of Small Pig through Two and Three- Dimensional Liquid Pipeline22The derivation and solution of the two and three dimensional dynamic equations for a small pipeline inspection
gauge (Pig) through a liquid pipeline is the main aim of this work. These equations can be used for synthesis of speed
controller of a pig by using a bypass port in Pig. Momentum and energy equations are employed to study the
influence of flow field on the Pig’s trajectory. The pig is assumed to be a small rigid body with a bypass hole in its
body. The variation of the diameter of the bypass port, which is controlled by a valve, is considered in this
formulation. The path of the pig or geometry of the pipeline is assumed to be 2D and 3D curve. 2D and 3D
simulations of the pig motion are performed individually and a case has been solved and discussed for each of them.
The simulation results show that the derived equations are valid and effective for online estimating of the position,
velocity and forces acting on the pig at any time of its motion.7583M.LesaniDepartment of Mechanical Engineering, Yazd University, Yazd, IRANDepartment of Mechanical Engineering, Yazd University, Yazd, IRANpaysm.lesani@jafmonline.netM.RafeeyanDepartment of Mechanical Engineering, Yazd University, Yazd, IRANDepartment of Mechanical Engineering, Yazd University, Yazd, IRANpaysrafeeyan@yazd.ac.irA.SohankarDepartment of Mechanical Engineering, Yazd University, Yazd, IRANDepartment of Mechanical Engineering, Yazd University, Yazd, IRANpaysa.sohankar@jafmonline.netPig Dynamic equations Liquid pipeline Momentum and energy equations[Barus, S. (1982). An Experimental Verification and
Modification of The McDonald and Baker Pigging
Model For Horizontal Flow, Ph.D Thesis,
University of Tulsa, Texas, USA.##
Hopkins, P. (1992). The Assessment of Pipeline Defects
During Pigging Operations, in Pipeline Pigging
Technology. Tiratsoo J.N.H.(ed.), Gulf Professional
Publishing, 2nd ed., pp. 303-324.##
Kohda, K., Y. Suzukawa, and H. Furukwa (1988). A
new method for analyzing transient flow after
pigging scores well. Oil and Gas Journal 9(May),
40–47.##
McDonal A. and O. Baker (1964). Multiphase flow in
(Gas) pipelines, Oil and Gas Journal 62(24):68-71,
62(25):171-175, 62(26):64-67, 62(27): 118-119.##
Minami, K. and O. Shoham (1991). Pigging dynamics
in two-phase flow pipelines: experiment and
modeling, SPE Prod. Facil., 10(4), 225-231.##
Nguyen T.T., S.B. Kim, H.R. Yoo, and Y.W. Rho
(2001). Modeling and simulation for pig flow
control in natural gas pipeline, KSME Int. J. 15(8),
1165-1173.##
Nguyen T.T, H.R. Yoo , Y.W. Rho, and S.B. Kim (2001,
June). Speed control of pig bypass flow in natural
gas pipeline, International Symposium on Industrial
Electronics, Pusan, Korea.##
Nieckele A.O., A.M.B Braga, L.F.A. Azevedo (2001).
Transient pig motion trough gas and liquid
pipelines, Journal of Energy Resources. ASME 123,
260-269.##
Saeidbakhsh M., M. Rafeeyan, S. Ziaei-rad (2009)
Dynamic analysis of small pigs in space pipelines,
Oil and Gas Science and Technology. 64(2), 155-
164.##
Scoggins, Jr. (1977). Numerical simulation model for
transient two-phase flow in a pipeline, PhD Thesis,
University of Tulsa, Texas, USA.##
Sokolnikoff, I.S. (1964). Tensor Analysis, New York,
USA, John Wiley and Sons.##
Taitel, Y., O. Shoham, and J.P. Brill (1989). Simplified
transient solution and simulation of two-phase flow
in pipelines, Chem. Eng. Sci. 44, 1353-1359.##
Thomas G.B. and R.L. Finney (1996). Calculus and
Analytic Geometry, USA, Addison-Wesley
Publishing Company(9th edition).##
Xiao-Xuan X., and J. Gong (2005). Pigging simulation
for horizontal gas-condensate pipelines with lowliquid
loading, Journal of Petroleum Science
Engineering. 48, 272-280.##]Thermodynamics of Energy Systems and Processes: A Review and Perspectives22Thermodynamics is a relatively recent physical science that was born with calorimetry and thermometry experiments:
so heat remains the central concept in relation with other forms of energy. The coupling between various forms is
essential and related to conversion processes. The first conversion process that was analyzed was the
thermomechanical one, at the time of Carnot. Equilibrium Thermodynamics was fruitful in connection with the
efficiency concept, to qualify engines. But since that time, mass and heat transfers studies have been strongly
developed (thermokinetics), as well as second law aspects of thermodynamics. It results new appraisal for energy
systems and processes, relevant of a true thermodynamics approach. This was initiated by Onsager at the beginning
of the 20th century, by analyzing the relation between fluxes and forces (gradients) from a general, but linear point of
view. More recently, it was developed through a lumped analysis for systems by Chambadal and Novikov in 1957. It
was rediscovered in 1975, by Curzon and Ahlborn. And since this work, a lot of books and publications have been
proposed in the literature. A review of them is proposed here, on the basis of a synthesis due to the lack of place. The
author’s works are analysed and compared to the literature too. It results some original remarks and proposal relative
to the obtained results: Comparison of entropy ratio method to entropy flux method, Comparison of endoreversible
case to irreversible case, Comparison of adiabatic and non adiabatic systems, Comparison of constrained and non
constrained systems. Main consequences of these comparisons are given, and future perspectives evoked on the main
systems categories (engines; reverse machines; other eventual configurations).Conclusion is that FDOT (Finite
Dimensions Thermodynamics) appears as a promising tool to be enlarged in the future.8598M.FeidtUniversité Henri Poincaré, LEMTA – ENSEM 2, avenue de la Forêt de Haye, Vandoeuvre-les-Nancy, 54516, FranceUniversité Henri Poincaré, LEMTA – ENSEM 2, avenue de la Forêt de Haye, Vandoeuvre-les-Nancy, 54516, Francepaysmichel.feidt@ensem.inpl-nancy.frEnergy systems and processes Thermodynamics Optimization[Angulo Brown, F. (1991). An ecological optimization
criterion for finite time heat engines. J. Applied
Physics 69(11), 7465-7469.##
Bejan, A. (1997). Entropy generation minimization: the
new thermodynamics of finite size, and finite time
processes. Journal of Applied Physics 79, 1191-
1218.##
Bejan A., G. Tsatsaronis, M. Moran (1996). Thermal
Design and optimization, J. Wiley and Sons Inc.,
New York, USA.##
Blanchard, C.H. (1980). Coefficient of performance for
finite speed heat pump. J. Appl. Phys. 51, 2471-
2472.##
Carnot, S. (2005). Réflexions sur la puissance motrice
du feu sur les machines propres à developer cette
puissance. Editions Jacques Gabay, Paris, France.
Chambadal, P. (1957). Les centrales nucléaires. A.
Colin éditeur, Paris, France.##
Chen, L., S. Wu, F. Sun (1999). Finite time
thermodynamic optimization or entropy generation
minimization of energy systems. Journal of Non
Equilibrium Thermodynamics 24(4), 327-359.##
Curzon, F.L., B. Ahlaborn (1975). Efficiency of a
Carnot engine at maximum power output.
American Journal for Physics, 22-24.##
Durmayaz, A., O.S. Sogut, B. Sahin, H. Yavrez (2004).
Optimization of thermal systems based on finite
time thermodynamics and thermoeconomics.
Prog. Energy Combust. Sci. 30(2), 175-217.##
Feidt, M. (2009a). Thermodynamique et efficacité
énergétique, invited lecture. Colloquium of the
French Thermal Sociéty (SFT), Vannes, France.##
Feidt, M. (2009b). Efficacité énergétique : quels
critères. invited lecture CNT’09 Colloquium
Brasov, Romania, Termotehnica 2, 25-32.##
Feidt, M. (2009c). Energy efficiency and environment.
accepted for publication in UPB Sci. Bull. Series.##
Feidt, M. (2009d). Optimal thermodynamics – New
upperbounds, Entropy 11, 529-547.##
Feidt, M., M. Costea, C. Petre, S. Petrescu (2007).
Optimization of the direct Carnot cycle. Applied
Thermal Engineering 27(5-6), 829-839.##
Feidt, M. (2006). Energétique, Concepts et
applications. Dunod éditeur, Paris, France.##
Feidt, M. (1996). Thermodynamique et optimisation
énergétique des systèmes et procédés. TEC et
DOC éditeur, Paris, France.##
Goth, Y., and M. Feidt (1986). Recherche sur les
conditions optimales de fonctionnement des
pompes à chaleur ou machines à froid associées à
un cycle de Carnot endoreversible. C.R. Acad. Sci.
Paris 303(II)(1), 113-122.##
Gouy, R. (1889). Sur l’énergie utilisable, Journal de
Physique 8, 501.##
Laheurte, G., M. Feidt, R. Boussehain, D. Queiros-
Condé, Cascade constructale de cycles moteurs,
accepted for publication in ENSTA, Paris, France.##
Novikov, I. (1957). The efficiency of atomic power
stations (a review). Atomaya Energiya, 3-11.##
Onsager, L. (1931). Physical Review 37, 405; Physical
Review 38, 2265.##]Some Insight into the Wind-Induced Vibration of Stay Cables in the Context of Rigid Static Inclined Circular Cylinder22Wind-induced cable vibration is a contemporary issue in cable-stayed bridges, which potentially threats the safety
and durability of the structure. A thorough understanding of the fundamental physics underlying these phenomena is
a priori for developing effective remedies to resolve the issue. In the present paper, possible mechanisms associated
with two different types of wind-induced cable vibration phenomena have been studied based on a set of wind tunnel
experimental data on a rigid circular cylinder. A number of analyses were applied to the unsteady surface pressure
data sampled on the cylinder model to elucidate the possible mechanisms of these phenomena. Negative aerodynamic
damping ratios were identified in the ranges of Reynolds number and cylinder orientation where divergent galloping
type of response is expected to occur. A breakdown range of wind-cable relative angle was detected in which the
regular Karman vortex shedding was suppressed within the subcritical Reynolds number range. In the critical
Reynolds number range, however, the symmetry of surrounding flow field beyond this breakdown range could be
altered drastically, leading to considerable changes in the lift force which is responsible for the negative aerodynamic
damping ratio values. Significant increase of correlation length of sectional aerodynamic forces was also detected
within this breakdown range in the critical regime. This, combined with the negative aerodynamic damping, is
proposed to be a possible necessary onset condition for the galloping of dry inclined cables. The limited-amplitude
instability, which occurred in the subcritical Re range, on the other hand, was found to be caused by the mitigation of
regular Karman vortex shedding in the breakdown range while the spatial flow field was strongly correlated. In
addition, the decay in correlation of aerodynamic forces in the critical Re range was believed to be key to the
suppression of this unstable response.99112A.RaeesiDepartment of Civil and Environmental Engineering, University of WindsorDepartment of Civil and Environmental Engineering, University of Windsorpaysraeesi@uwindsor.caS.ChengDepartment of Civil and Environmental Engineering, University of WindsorDepartment of Civil and Environmental Engineering, University of Windsorpayss.cheng@jafmonline.netD. S-KTingDepartment of Mechanical, Automotive and Materials Engineering, University of Windsor 401 Sunset Ave., Windsor, ON., Canada N9B 3PDepartment of Mechanical, Automotive and Materials Engineering, University of Windsor 401 Sunset Ave., Windsor, ON., Canada N9B 3Ppaysd.s.k.ting@unspecified.netCircular cylinder Dry inclined cable galloping Critical Reynolds number regime Spatial correlation Aerodynamic damping High-speed vortex excitation[Bosch, H. (2006). Review of bridge cable vibrations
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219-227.##]Combined Effects of Thermal Radiation and Hall Current on MHD Free-Convective Flow and Mass Transfer over a Stretching Sheet with Variable Viscosity22An analysis has been carried out on the effects of thermal radiation and Hall current of a magneto hydrodynamic freeconvective
flow and mass transfer over a stretching sheet with variable viscosity in the presence of heat
generation/absorption. The fluid viscosity is assumed to vary as an inverse linear function of temperature. The
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ordinary differential equations by employing a similarity transformation. Using the finite difference scheme,
numerical solutions to the transform ordinary differential equations have been obtained and the results are presented
graphically. The numerical results obtained are in good agreement with the existing scientific literature.113121G. C.ShitDepartment of Mathematics, Jadavpur University, Kolkata-700032, IndiaDepartment of Mathematics, Jadavpur University, Kolkata-700032, Indiapaysgcs@math.jdvu.ac.inR.HaldarDepartment of Mathematics, Jadavpur University, Kolkata-700032, IndiaDepartment of Mathematics, Jadavpur University, Kolkata-700032, Indiapaysr.haldar@jafmonline.netThermal radiation Variable viscosity MHD Hall current Heat and Mass transfer[Afify, A.A. (2004). MHD free-convective flow and
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and CPU time. Recent developments in sparse direct solvers have significantly reduced the memory and
computational time of direct solution methods. The objective of this study is twofold. First is to evaluate the
performance of various state-of-the-art sequential sparse direct solvers in the context of finite element formulation of
fluid flow problems. Second is to examine the merit in upgrading from 32 bit machine to a 64 bit machine with larger
RAM capacity in terms of its capacity to solve larger problems. The choice of a direct solver is dependent on its
computational time and its in-core memory requirements. Here four different solvers, UMFPACK, MUMPS,
HSL_MA78 and PARDISO are compared. The performances of these solvers with respect to the computational time
and memory requirements on a 64-bit windows server machine with 16GB RAM is evaluated.123132M. P.RajuDepartment of Mechanical Engg., Case Western Reserve University, Cleveland, OH, 44106, USADepartment of Mechanical Engg., Case Western Reserve University, Cleveland, OH, 44106, USApaysraju192@gmail.comS. K.KhaitanDepartment of Electrical Engg., Iowa State University, Ames, IA, 50014, USADepartment of Electrical Engg., Iowa State University, Ames, IA, 50014, USApayss.k.khaitan@jafmonline.netMultifrontal UMFPACK MUMPS HSL MA78 PARDISO 64-bit[Amestoy, P.R., A. Guermouche, J.Y. L’Excellent and S.
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(2002). A fully asynchronous multifrontal solver
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Oxford:Oxford University Press.##
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Application of Multifrontal and GMRES Solvers
for Multisize Particulate Flow in Rotating
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336.##
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Package for Partitioning Unstructured Graphs,
Partitioning Meshes, and Computing Fill-
Reducing Orderings of Sparse Matrices – Version
4.0. University of Minnesota.##
Khaitan, S., J. McCalley and M.P. Raju (2010).
Numerical methods for on-line power system load
flow analysis, Energy systems 1(2), 273-288.##
Khaitan, S., J. McCalley and Q. Chen (2008).
Multifrontal solver for online power system timedomain
simulation, Power Systems, IEEE
Transactions 23 (4), 1727–1737.##
Raju, M.P. and S. Khaitan (2010). Implementation of
Shared Memory Sparse Direct Solvers for Three
Dimensional Finite Element Codes. Journal of
Computing, accepted for publication.##
Raju, M.P. (2009). Parallel Computation of Finite
Element Navier-Stokes codes using MUMPS
Solver. International Journal of Computer Science
Issues 4(2), 20-24.##
Raju, M.P. and S. Khaitan (2009). High Performance
Computing Using Out-of-Core Sparse Direct
Solvers. International Journal of Mathematical,
Physical and Engineering Sciences 3(2) 96-102.##
Raju, M.P. and S. Khaitan (2009). Domain
Decomposition Based High Performance Parallel
Computing. International Journal of Computer
Science Issues 5, 27-32.##
Raju, M.P. and J.S. T’ien (2008). Development of
Direct Multifrontal Solvers for Combustion
Problems. Numerical Heat Transfer, Part B 53, 1-
17.##
Raju, M.P. and J.S. T’ien (2008). Modelling of Candle
Wick Burning with a Self-trimmed Wick. Comb.
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with PARDISO. Journal of Future Generation
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Shared Memory Multiprocessing Systems. Parallel
Computing 28, 187-197.##
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PARDISO. In Proceeding of the 10th SIAM
conference on Parallel Processing for Scientific
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Efficient Sparse LU Factorization with Left-right
Looking Strategy on Shared Memory
Multiprocessors. BIT 40(1), 158-176.##
Schenk, O. (2000). Scalable Parallel Sparse LU
Factorization Methods on Shared Memory
Multiprocessors. Thesis (PhD). ETH Zurich.##
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