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Magnetohydrodynamic Natural Convection in a Rotating Enclosure

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  27 January 2016

H. Saleh  and
I. Hashim
H. Saleh*
Affiliation:
Solar Energy Research Institute, University Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia
I. Hashim
Affiliation:
Pusat Pemodelan & Analisis Data, School of Mathematical Sciences, University Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia Research Institute, Center for Modeling & Computer Simulation (RI/CM&CS), King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia
*
*Corresponding author. Email: [email protected] (H. Saleh), [email protected] (I. Hashim)
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Abstract

Magnetohydrodynamic natural convection heat transfer in a rotating, differentially heated enclosure is studied numerically in this article. The governing equations are in velocity, pressure and temperature formulation and solved using the staggered grid arrangement together with MAC method. The governing parameters considered are the Hartmann number, 0≤Ha≤70, the inclination angle of the magnetic field, 0°≤θ 90°, the Taylor number, 8.9 x 104≤Ta≤1.1 x 106 and the centrifugal force is smaller than the Coriolis force and the both forces were kept below the buoyancy force. It is found that a sufficiently large Lorentz force neutralizes the effect of buoyancy, inertial and Coriolis forces. Horizontal or vertical direction of the magnetic field was most effective in reducing the global heat transfer.

Keywords

Finite difference methodnatural convectionMHDrotating enclosure

MSC classification

Secondary: 65M06: Finite difference methods 65M12: Stability and convergence of numerical methods
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 2 , April 2016 , pp. 279 - 292
Copyright
Copyright © Global-Science Press 2016 

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