A MATHEMATICAL THEOREM ON THE ONSET OF INSTABILITIES IN THE FLOW OF COUPLE-STRESS FLUID HEATED AND SOLUTED FROM BELOW SATURATING A POROUS MEDIUM

Year 2012, Volume: 4 Issue: 3, 57 - 67, 01.09.2012

G.C. Rana R.C. Thakur

Abstract

In this paper, the effect of suspended particles on double-diffusive convection in couple-stress fluid saturating a porous medium is considered. By applying linear stability theory and normal mode analysis method, a mathematical theorem is derived which states that the onset of instability at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R, the medium permeability parameter Pl, the couplestrtess parameter F, the stable solute gradient S and suspended particles parameter B, satisfy the inequality
This result clearly verifies the stabilizing character of couple-stress parameter and stable solute gradient while
destabilizing character of suspended particles and medium permeability.

Keywords

Couple-Stress fluid, Porous medium, Suspended particles, Double-diffusive convection

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