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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.

Contributed by: Jorge Gamaliel Frade Chávez

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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.

Heat Transfer (ScienceWorld)

"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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Unsteady Heat Transfer over a Porous Flat Plate

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