Unsteady Heat Transfer over a Porous Flat Plate

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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 (October 2009)
Open content licensed under CC BY-NC-SA


Snapshots


Details

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

[1] 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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