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.