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Radiative and free convective effects of a MHD flow through a porous medium between infinite parallel plates with time-dependent suction. (English) Zbl 0933.76099

Summary: Under fairly realistic assumptions, we study the magnetohydrodynamic free-convection flows with radiative heat transfer in porour media subject to time-dependent suction. For a small time-dependent perturbation of the fluid velocity and temperatures, the nonlinear problem is tackled by asymptotic approximation, giving solutions for a steady flow on which a first-order transient component is superimposed. The effect of heat radiation and free convection on the fluid flow is demonstrated analytically and quantitatively. The flow field is seen to be affected mainly by radiation and convection parameters, in addition to the porosity and magnetic factors.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76R10 Free convection
78A40 Waves and radiation in optics and electromagnetic theory
80A20 Heat and mass transfer, heat flow (MSC2010)
76S05 Flows in porous media; filtration; seepage
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