EFFECT OF SUSPENDED PARTICLES ON MARGINAL STABILITY OF A DOUBLE-DIFFUSIVE MAGNETIZED FERROFLUID WITH INTERNAL ANGULAR MOMENTUM

Abstract

This article deals with the theoretical investigation of the effect of suspended particles on the marginal stability of a double-diffusive ferrofluid layer with internal angular momentum heated from below subjected to a transverse uniform magnetic field. For a flat fluid layer contained between two free boundaries, an exact solution is obtained using a linear stability analysis theory and normal mode analysis method. For the case of stationary convection, the effect of various parameters like suspended particles, solute gradient, magnetization, coupling parameter, spin diffusion parameter, and heat conduction parameter has been analyzed. The critical magnetic thermal Rayleigh number for the onset of instability is also determined numerically for sufficiently large values of magnetic parameter M1 and results are depicted graphically. It is observed that the critical magnetic thermal Rayleigh number is reduced because the heat capacity of clean fluid is supplemented by that of the suspended particles. The principle of exchange of stabilities is found to hold true for the ferrofluid with internal angular momentum in the absence of suspended particles, solute gradient, coupling parameter, and microinertia. Oscillatory modes are introduced due to the presence of the suspended particles, solute gradient, coupling parameter, and microinertia, which were nonexistent in their absence. The sufficient conditions for the nonexistence of overstability are also obtained.