• A MATHEMATICAL THEOREM IN MAGNETOROTATORY THERMOHALINE CONVECTION IN POROUS MEDIUM

Abstract

The present paper mathematically establishes that magnetorotatory thermohaline convection of the Veronis type in porous medium cannot manifest itself as oscillatory motions of growing amplitude in an initially bottom heavy configuration if the thermohaline Rayleigh number R_S , the Lewis number τ, the Prandtl number P_r, the porosity ϵ, satisfy the inequality R_S≤4π^2 (1/D_a +τ/(E^' P_r ϵ)) , where D_a the Darcy number and E^' are constants which depend upon porosity of the medium. It further establishes that this result is uniformly valid for the quite general nature of the bounding surfaces. A similar characterization theorem is also proved for magnetorotatory thermohaline convection of the Stern type.