The Effects of Radiation on the Linear Stability of a horizontal layer in a Fluidsaturated Media heated from below

The effect of radiation on the onset of Rayleigh-Benard convection is studied in the case of a radiating Newtonian fluid in a fluid-saturated horizontal porous layer heated from below. The radiative heat transfer is treated using the differential approximation for optically thin limiting case. The linear stability theory is employed to predict the onset of buoyancy-driven convective motion. It is seen that neither radiation on the static temperature nor on the disturbances can be neglected. In addition, radiation delayed the onset of instability, and higher radiation values led to greater stabilization of a gravity-driven flow in a fluid-saturated porous medium heated from below