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Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i6.40
pages 521-535

MIXED CONVECTION MHD HEAT AND MASS TRANSFER OVER A NONLINEAR STRETCHING VERTICAL SURFACE IN A NON-DARCIAN POROUS MEDIUM

Masoud Molaei Najafabadi
Mechanical Engineering Department, Amirkabir University of Technology, No. 424, Hafez Ave., PO Box 15875-4413, Tehran, Iran
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

RÉSUMÉ

A numerical model is developed for the steady two-dimensional laminar mixed convection magnetohydrodynamic heat and mass transfer of an electrically conducting viscous fluid in a non-Darcian porous medium over a nonlinear stretching vertical sheet in the presence of viscous dissipation and Ohmic heating. The stretching velocity and the transverse magnetic field are assumed to vary as a power law function of the distance from the origin. The temperature-dependent fluid properties, namely, the fluid viscosity and the thermal conductivity, are assumed to vary as an inverse and linear function of the temperature, respectively. A generalized similarity transformation is introduced and the governing boundary layer equations are transformed to a set of nonlinear coupled ordinary differential equations which are then solved based on a shooting algorithm along with a Runge−Kutta integration scheme over the entire range of physical parameters with appropriate boundary conditions. The influence of various involved physical parameters on velocity, temperature, and concentration fields as well as on local skin friction, local Nusselt number, and local Sherwood number are studied using graphical and tabular forms. The analysis is carried out for both assisting and opposing flows.


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