Onset of Magnetoconvection in a Rotating Darcy Porous Layer Heated from Below with Temperature Dependent Heat Source (original) (raw)

2018

Abstract

The onset of stationary and oscillatory magnetoconvection in a rotating infinitely horizontal porous layer filled with electrically conducting Newtonian fluid heated from below with temperature – dependent heat source within the Darcy limit using linear stability analysis is investigated for free – free boundaries. The effects of heat source, magnetic field and rotation parameters on the onset of convection are presented graphically and analyzed in detail. It is found that increases in magnetic and rotation parameters delayed the onset of stationary and oscillatory convection, thereby stabilizing the system. The heat source parameter increment accelerates the onset of convection and the system is more unstable; while Prandtl number slowed the onset of oscillatory convection.

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