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Effects of Viscous Dissipation and Radiation on MHD Natural Convection in Oblique Porous Cavity with Constant Heat Flux

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems Thermodynamics and heat transfer Flows in porous media; filtration; seepage

Published online by Cambridge University Press:  09 January 2017

Ammar I. Alsabery ,
Habibis Saleh  and
Ishak Hashim
Ammar I. Alsabery*
Affiliation:
School of Mathematical Sciences, Faculty of Science & Technology, University Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia
Habibis Saleh
Affiliation:
School of Mathematical Sciences, Faculty of Science & Technology, University Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia
Ishak Hashim
Affiliation:
School of Mathematical Sciences, Faculty of Science & Technology, University Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia Research Institute, Center for Modeling & Computer Simulation, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia
*
*Corresponding author. Email:ammar_e_2011@yahoo.com (A. I. Alsabery)
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Abstract

Effects of viscous dissipation and radiation on MHD natural convection in oblique porous cavity with constant heat flux is studied numerically in the present article. The right inclined wall is maintained at a constant cold temperature Tc and the left inclined wall has a constant heat flux q with length S, while the remainder of the left wall is adiabatic. The horizontal walls are assumed to be adiabatic. The governing equations are obtained by applying the Darcy model and Boussinesq approximations. 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 Rayleigh number (Ra=10,100,200,250,500 and 1000), Hartmann number (0≤ Ha ≤20), inclination angle of the magnetic field (0° ≤ ω ≤ π/2), Radiation (0≤R≤15), the heater flux length (0.1≤H≤1) and inclination angle of the sloping wall (–π/3≤ϕ≤π/3). The results are considered for various values of the governing parameters in terms of streamlines, isotherms and averageNusselt number. It is found that the intensity of the streamlines and the isotherm patterns decrease with an increment in Hartmann number. The overall heat transfer is significantly increased with the increment of the viscous dissipation and the radiation parameters.

Keywords

Heat transferMHD natural convectionporous mediaviscous dissipationradiation

MSC classification

Secondary: 65M06: Finite difference methods 80A20: Heat and mass transfer, heat flow 76S05: Flows in porous media; filtration; seepage
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 2 , April 2017 , pp. 463 - 484
Copyright
Copyright © Global-Science Press 2017 

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