Convective instability of rotating radiating fluids

The Benard problem of a rotating radiating nongray fluid is examined analytically for both stationary and oscillatory convection. Radiation is modeled by the Milne-Eddington approximation. The time derivatives are retained in the disturbance equations and both types of instability were studied using the same approximating functions. Results presented show that, in the presence of rotation, radiation increases the zone in which overstability is the preferred mode of instability.