Ferroconvection In A Horizontal Darcy-Brinkman Porous Medium With Radiative Transfer

Abstract

<p>The classical linear stability analysis is used to examine the effect of thermal radiation on the onset of Darcy-Brinkman ferroconvection. The boundaries of the fluid layer are treated as black bodies and the optical properties of the transparent ferromagnetic fluid are independent of the wave length of radiation. The fluid and solid matrix are assumed to be in local thermal equilibrium. Considering realistic boundary conditions, the principle of exchange of stabilities is shown to be valid and the critical values pertaining to the stationary instability are obtained by means of the higher order Galerkin method. It is observed that the basic temperature profile turns out to be exponential and symmetric as the radiative parameters increase and that the effect of thermal radiation is to delay the onset of Darcy- Brinkman ferroconvection. The destabilizing influence of magnetic forces is affected by the radiative parameters. The effect of magnetic, radiative and porous parameters on the convection cell size is also discussed.</p>