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Hydromagnetic Non-Darcian Free-Convective Flow of a Non-Newtonian Fluid with Temperature Jump

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  • Ahmed M. Salem
  • Mohamed Abd El-Aziz

Abstract

In the present study, the effect of viscous dissipation on magnetohydrodynamic (MHD) non-Darcian free-convection flow of a non-Newtonian power-law fluid past a vertical flat plate in a saturated porous medium with variable viscosity and temperature jump is considered. The fluid is permeated by a transverse magnetic field imposed perpendicularly to the plate on the assumption of a small magnetic Reynolds number. The fluid viscosity is assumed to vary as a reciprocal of linear function of temperature. The governing boundary layer equations and boundary conditions are cast into a dimensionless form and simplified by using a similarity transformation into a system of nonlinear ordinary differential equations and solved numerically. The effects of the governing parameters on the flow fields and heat transfer are shown in graphs and tabular form.

Suggested Citation

  • Ahmed M. Salem & Mohamed Abd El-Aziz, 2013. "Hydromagnetic Non-Darcian Free-Convective Flow of a Non-Newtonian Fluid with Temperature Jump," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, April.
    • Handle: RePEc:hin:jnlmpe:761023
    DOI: 10.1155/2013/761023
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