STUDY OF GLOBAL STABILITY OF ROTATING PARTIALLY IONIZED PLASMA SATURATING A POROUS MEDIUM

Abstract

The importance of thermal convection in rotating partially ionized plasma has been observed in various laboratory and astrophysical plasmas. The focus of this work is on the investigation of the effect of rotation on the thermal convection of partially ionized plasma within a porous medium by using nonlinear and linear analyzes. For porous medium, the Darcy-Brinkman model has been used. The eigenvalue problems for linear and nonlinear analyzes have been developed using the normal mode method and energy method, respectively. For numerical analysis, the Galerkin-weighted residual method has been employed to determine the Rayleigh-Darcy number. The effects of rotation, medium permeability, compressibility, and collisional frequency have been observed on the stability of the system. It has been found that the subcritical region does not exist, and hence global stability prevails. The rotation is found to induce oscillatory modes of convection. Rotation, medium permeability, and compressibility are found to delay the onset of convection. The collisional frequency doesn't influence the stability of the system for stationary convection; however, it does influence energy decay and oscillatory convection. All the findings of our study have been discussed and presented graphically.