Effect of anisotropy pores on thermohaline convective instability in micropolar ferrofluid

Abstract

Abstract This work deals with the thermohaline convective instability on horizontal micropolar ferrofluid layer in anisotropic porous effect subjected to a transverse uniform magnetic field. The linear stability analysis is used to omit the non-linear terms on governing equations, normal mode analysis is taken to the study and free boundary conditions are applied. The critical magnetic thermal Rayleigh number N SC is calculated analytically for sufficient large values of M 1 The principle of exchange of stabilities is satisfied for micropolar ferrofluid in an anisotropic porous medium without N 1, N ’ 3, N ’ 5 and τ. The sufficient conditions for the non-existent of overstability are also examined. Moreover, in this work, we tried to investigate the anisotropy effect on porous medium on the system. The parameters N 1and N 5 ’ dominate the system and the large porous medium is taken into account.