The Effects of Viscosity and Radiation Absorption on Double-Diffusive Convection in a Porous Medium

Abstract

This study is devoted to the problem of the effect of radiation absorption on
the onset of thermosolutal convection in a horizontal fluid layer taking into
consideration viscous effects when the fluid is heated from below in a horizontal porous layer. The radiative heat transfer is heated using the
differential approximation for optically thin case in the energy equation. The
linear stability analysis is used to show how radiation absorption affects the
condition leading to onset of instability even in the present of viscosity. In the
momentum equation for free-free boundaries it was seen that a positive
increment in the radiation absorption parameter delayed the onset of instability.