Wolfram Demonstrations Project
8769

Unsteady Heat Transfer over a Porous Flat Plate

This Demonstration gives a numerical solution of the energy equation for the temperature distribution in viscous flow past a porous flat plate. The solution uses a finite difference method.

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The dimensionless transformed energy equation that describes the temperature field is
,
with the boundary conditions
;
,
and the initial condition
.
Here is Prandtl's number, is non-dimensional temperature, is dimensionless time, and is dimensionless position.
Reference: R. S. Agarwal and M. Rani, "Numerical Solution of Unsteady Heat Transfer over a Porous Flat Plate," Indian Journal of Pure and Applied Mathematics, 16(6), 1985 pp. 647–659.

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"Unsteady Heat Transfer over a Porous Flat Plate" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/UnsteadyHeatTransferOverAPorousFlatPlate/
Contributed by: Jorge Gamaliel Frade Chávez
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