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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v29.i1.10
26 pages

Numerical Modelling of Darcy - Brinkman - Forchheimer Magnetohydrodynamic Mixed Convection Flow in a Porous Medium with Transpiration and Viscous Heating

Ali J. Chamkha
Mechanical Engineering Department, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box 10021, Ras Al Khaimah, United Arab Emirates
Harmindar S. Takhar
Engineering Department, Manchester Metropolitan University, Oxford Rd., Manchester, M15GD, UK
O. Anwar Bég
Fluid Mechanics, Nanosystems and Propulsion, Aeronautical and Mechanical Engineering, School of Computing, Science and Engineering, Newton Building, University of Salford, Manchester M54WT, United Kingdom

RÉSUMÉ

A mathematical model is presented to investigate the combined effects of buoyancy, porous inertial drag, boundary vorticity diffusion (Brinkman friction), transverse magnetic field, viscous dissipation, wall transpiration, thermal conductivity and various other thermofluid parameters on the convection boundary layer flow of an electrically-conducting fluid past a vertical permeable semi-infinite plate in a saturated porous medium. The transformed boundary layer equations are solved numerically on a x-h domain using the robust Keller-box finite difference method and a powerful double-shooting Runge-Kutta method (DSRK). Results are presented graphically for the local skin-friction function (surface shear stress parameter) and the local Nusselt number function (local heat transfer parameter) for a wide range of the pertinent physical parameters. For the special case of x = 0 (at the leading edge), plots are given to compare the computations by both numerical methods and found to be in excellent agreement.


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