Thermosolutal Instability of Couple Stress Rivlin Ericksen Ferromagnetic Fluid with Rotation, Magnetic and Variable Gravity Field in Porous Medium

Abstract

In this paper thermosolutal instability of a couple stress Rivlin-Ericksen ferromagnetic fluid layerwith rotation, magnetic and variable gravity field in porous medium is studied. Using normalmode analysis technique the dispersion relation has been obtained and solved analytically. Forstationary convention, it is found that couple stress, magnetic field and permeability of mediumhave stabilizing effect on thermal instability under certain conditions. Rotation has stabilizingeffect if λ> 0 and destabilizing effect if λ< 0. Solute gradients has stabilizing effect either λ >0 or λ < 0. The presence of solute gradient, viscoelastic parameter, rotation and magnetic fieldintroduces oscillatory modes, stability in the system and principle of exchange of stability is notsatisfied if λ < 0 and system may be stable or unstable if λ > 0.