Thermal Enhancement Effects of Buoyancy-Driven Heat Transfer of Hybrid Nanofluid Confined in a Tilted U-Shaped Cavity

Document Type : Regular Article

Authors

1 Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, 50603, Kuala Lumpur, Malaysia

2 Mathematics Division, Centre for Foundation Studies in Science, Universiti Malaya, 50603, Kuala Lumpur, Malaysia

3 Mathematics Education Department, Universitas Islam Negeri Sultan Syarif Kasim, 28293, Pekanbaru, Indonesia

Abstract

In this manuscript, the analysis of buoyancy-driven heat transfer of copper-alumina/water hybrid nanofluid in a U-shaped enclosure under the influence of cavity inclination is extensively studied numerically. The dimensionless governing equations are formed by using dimensionless variables. The domain is discretized to a finite number of the Lagrange three-node triangular element, and the finite element method is employed with the Galerkin-weighted residual algorithm to compute and solve the problem. The Newton-Raphson method is employed as a convergence criterion for each iteration. Numerical and experimental validation of the previously published data is conducted with the present results to verify the stability and reliability of the numerical procedure and results. The effect of the lid tilting angle on the heat transfer performance of the enclosure is extensively explored in the manuscript. The streamlines, isotherms, local and average Nusselt numbers as well as the vertical and horizontal velocity of the fluid are plotted for a variation of the Rayleigh number up to 106. The analysis of the effect of fluid velocity on the fluid flow and thermal distribution pattern are discussed with relation to the overall heat transfer capability within the domain. It is found that hybrid nanofluid enhances the heat transfer rate within the enclosure. The highest heat transfer performance is at an inclination angle of 40°≤Θ≤ 60°. The results presented in the manuscript will be useful in the manufacturing processes involving electronics such as laptops and smartphones.

Keywords


Al-srayyih, B. M., S. Gao and S. H. Hussain (2019). Natural convection flow of a hybrid nanofluid in a square enclosure partially filled with a porous medium using a thermal non-equilibrium model. Physics of Fluids 31, 043609.##
Ashorynejad, H. R. (2018). MHD natural convection of hybrid nanofluid in an open wavy cavity. Results in Physics 9, 440–455.##
Bhatti, M. A. (2005). Fundamental finite element analysis and applications: with Mathematica and Matlab computations. Hoboken, NJ: John Wiley & Sons.##
Brinkman, H. C. (1952). The viscosity of concentrated suspensions and solutions. The Journal of Chemical Physics 20(4), 571.##
Buchanan, A. M. and A. W. Fitzgibbon (2005). Damped Newton algorithms for matrix factorization with missing data. In Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, San Diego, CA, pp. 316–322. IEEE.##
Cho, C. C., H. T. Yau and C. K. Chen (2012). Enhancement of natural convection heat transfer in a U-shaped cavity filled with Al2O3-water nanofluid. Thermal Science 16(5), 1317–1323.##
Choi, S. U. S. (1995). Enhancing thermal conductivity of fluids with nanoparticles. Development and Applications of Non-Newtonian Flows 231, 99–105.##
Giwa, S. O., M. Sharifpur and J. P. Meyer (2020). Experimental study of thermoconvection performance of hybrid nanofluids of Al2O3-MWCNT/water in a differentially heated square cavity. International Journal of Heat and Mass Transfer 148, 119072.##
Guestal, M., M. Kadja and M. T. Hoang (2018). Study of heat transfer by natural convection of nanofluids in a partially heated cylindrical enclosure. Case Studies in Thermal Engineering 11, 135– 144.##
Hamilton, R. L. and O. K. Crosser (1962). Thermal conductivity of heterogenous two component systems. Industrial & Engineering Chemistry Fundamentals 1(3), 187–191.##
Hassan, M., M. Marin, R. Ellahi and S. Z. Alamri (2018). Exploration of convective heat transfer and flow characteristics synthesis by Cu-Ag/water hybrid-nanofluids. Heat Transfer Research 49(18), 1837–1848.##
Hayat, T. and S. Nadeem (2017). Heat transfer enhancement with Ag–CuO/water hybrid nanofluid. Results in Physics7, 2317–2324.##
Ma, Y., R. Mohebbi, M. M. Rashidi and Z. Yang (2019). Effect of hot obstacle position on natural convection heat transfer of MWCNTs-water nanofluid in U-shaped enclosure using lattice Boltzmann method. International Journal of Numerical Methods for Heat & Fluid Flow 29(1), 223–250.##
Makulati, N., A. Kasaeipoor and M. M. Rashidi (2016). Numerical study of natural convection of a water–alumina nanofluid in inclined C-shaped enclosures under the effect of magnetic field. Advanced Powder Technology 27(2), 661– 672.##
Mohebbi, R., M. Izadi and A. J. Chamkha (2017). Heat source location and natural convection in a C-shaped enclosure saturated by a nanofluid. Physics of Fluids 29, 122009.##
Roy, N. C. (2019). Flow and heat transfer characteristics of a nanofluid between a square enclosure and a wavy wall obstacle. Physics of Fluids 31, 082005.##
Snoussi, L., N. Ouerfelli, X. Chesneau, A. J.Chamkha, F. Muhammad Belgacem and A. Guizani (2017). Natural convection heat transfer in a nanofluid filled U-shaped enclosures: Numerical investigations. Heat Transfer Engineering 39(16), 1450–1460.##
Tayebi, T. and A. J. Chamkha (2017). Buoyancydriven heat transfer enhancement in a sinusoidally heated enclosure utilizing hybrid nanofluid. Computational Thermal Sciences: An International Journal 9(5), 405–421.##
Tayebi, T. and A. J. Chamkha (2020). Magnetohydrodynamic natural convection heat transfer of hybrid nanofluid in a square enclosure in the presence of a wavy circular conductive cylinder. Journal of Thermal Science and Engineering Applications 12(3), 031009.##