• MIXED CONVECTION FLOW IN A VERTICAL CHANNEL FILLED WITH POROUS MEDIUM WITH BOUNDARY CONDITIONS OF THIRD KIND WITH HEAT SOURCE/SINK-BRINKMAN MODEL

J. C. Umavathi*, Jaweriya Sultana

Abstract


The effect of mixed convection in a vertical channel with porous medium is analysed in the present study with heat source or sink using Brinkman model. The plate exchanges heat with external fluid. Both equal and of different reference temperature of the external fluid is considered. The governing equations are solved numerically by using Runge-Kutta fourth order shooting method and analytically by using pertubation method. The effect of various parameters involved in the problem are illustrated graphically. The analytical and numerical solutions agree very well for small values of pertubation parameter. In the absence of porous parameter and heat source or sink the result agree with that of Zanchini [1].

Keywords


Mixed convection; porous medium; Runge-Kutta method; perturbation parameter; Heat source; Heat sink.

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