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NUMERICAL STUDY OF MHD NATURAL CONVECTION LIQUID METAL FLOW AND HEAT TRANSFER IN A WAVY ENCLOSURE USING CVFEM

Volume 48, Issue 2, 2017, pp. 121-138
DOI: 10.1615/HeatTransRes.2016008510
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Mohsen Sheikholeslami
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran; Renewable Energy Systems and Nanofluid Applications in Heat Transfer Laboratory, Babol Noshirvani University of Technology, Babol, Iran
Puneet Rana
Jaypee Institute of Information Technology, Noida
Soheil Soleimani
Department of Mechanical and Materials Engineering, Florida International University, Miami, Florida 33174, USA

ABSTRACT

A comprehensive numerical investigation on natural convection of electrically conducting liquid metal flow and heat transfer characteristics in a wavy enclosure is presented. The control volume-based finite element method (CVFEM) has been adopted to solve numerically the governing conservation equations of mass, momentum, and energy by using a stream function vorticity formulation. Special attention is given to understand the effect of a transverse magnetic field on the heat transfer rate as well as flow configurations with different amplitudes of sinusoidal wall. The numerical procedure in this analysis yields consistent performance over a wide range of parameters; Hartmann number, Ha; Rayleigh number, Ra; dimensionless amplitude of sinusoidal wall, a, and a fixed Prandtl number (Pr = 0.025) for liquid metal. The results obtained are depicted in terms of streamlines and isotherms which show the significant effects of the Hartmann number on the fluid flow and temperature distribution inside the enclosure. It was found that the Nusselt number decreases with increase in the Hartmann number.

KEY WORDS: magnetic field, wavy enclosure, natural convection, CVFEM
CITED BY

  1. Khan Ilyas, Ali Shah Nehad, Mahsud Yasir, Vieru Dumitru, Heat transfer analysis in a Maxwell fluid over an oscillating vertical plate using fractional Caputo-Fabrizio derivatives, The European Physical Journal Plus, 132, 4, 2017. Crossref

  2. Rana Puneet, Dhanai Ruchika, Kumar Lokendra, MHD slip flow and heat transfer of Al 2 O 3 -water nanofluid over a horizontal shrinking cylinder using Buongiorno’s model: Effect of nanolayer and nanoparticle diameter, Advanced Powder Technology, 28, 7, 2017. Crossref

  3. Feumo Achille Germain, Nzengwa Robert, Nkongho Anyi Joseph, Finite Element Model for Linear Elastic Thick Shells Using Gradient Recovery Method, Mathematical Problems in Engineering, 2017, 2017. Crossref

  4. Toosi Mohammad Hesam, Siavashi Majid, Two-phase mixture numerical simulation of natural convection of nanofluid flow in a cavity partially filled with porous media to enhance heat transfer, Journal of Molecular Liquids, 238, 2017. Crossref

  5. Sheikholeslami Mohsen, Simulation of Vorticity Stream Function Formulation by Means of CVFEM, in Application of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer, 2019. Crossref

  6. Sheikholeslami Mohsen, Detailed Explanation of Control Volume-based Finite Element Method, in Application of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer, 2019. Crossref

  7. Sheikholeslami Mohsen, Various Application of Nanofluid for Heat Transfer Augmentation, in Application of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer, 2019. Crossref

  8. Sheikholeslami Mohsen, Ganji Davood Domairry, Application of Nanofluids, in Applications of Semi Analytical Methods for Nanofluid Flow and Heat Transfer, 2018. Crossref

  9. Sobamowo M. G., Combined Effects of Thermal Radiation and Nanoparticles on Free Convection Flow and Heat Transfer of Casson Fluid over a Vertical Plate, International Journal of Chemical Engineering, 2018, 2018. Crossref

  10. Saleem Khalid B., Alshara Ahmed K., Natural convection in a triangular cavity filled with air under the effect of external air stream cooling, Heat Transfer-Asian Research, 48, 7, 2019. Crossref

  11. Sureshkumar Raju S., Ganesh Kumar K., Rahimi-Gorji Mohammad, Khan Ilyas, Darcy–Forchheimer flow and heat transfer augmentation of a viscoelastic fluid over an incessant moving needle in the presence of viscous dissipation, Microsystem Technologies, 25, 9, 2019. Crossref

  12. Miles Adel, Bessaïh Rachid, Heat transfer and entropy generation analysis of three-dimensional nanofluids flow in a cylindrical annulus filled with porous media, International Communications in Heat and Mass Transfer, 124, 2021. Crossref

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