Aa. Mohammadien et Mf. El-amin, Thermal dispersion-radiation effects on non-Darcy natural convection in a fluid saturated porous medium, TRANS POR M, 40(2), 2000, pp. 153-163
The effects of thermal dispersion and thermal radiation on the non-Darcy na
tural convection over a vertical flat plate in a fluid saturated porous med
ium are studied. Forchheimer extension is considered in the flow equations.
The coefficient of thermal diffusivity has been assumed to be the sum of m
olecular diffusivity and the dispersion thermal diffusivity due to mechanic
al dispersion. Rosseland approximation is used to describe the radiative he
at flux in the energy equation. Similarity solution for the transformed gov
erning equations is obtained. Numerical results for the details of the velo
city and temperature profiles which are shown on graphs have been presented
. The combined effect of thermal dispersion and thermal radiation, for the
two cases Darcy and non-Darcy porous medium, on the heat transfer rate whic
h are entered in tables is discussed.