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2 International Journal of Applied Mechanics and Engineering

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Hall effect on thermal stability of ferromagnetic fluid in the presence of suspended particles

Aggarwal A. K., Makhija S.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 2

349-365

This paper deals with the theoretical investigation of the effect of Hall currents and suspended particles on the thermal stability of a ferromagnetic fluid heated from below. For a fluid layer between two free boundaries, an exact solution is obtained using a linearized stability theory and normal mode analysis. A dispersion relation governing the effects of suspended particles and Hall currents is derived. For the case of stationary convection, it is found that the magnetic field has a stabilizing effect, whereas the suspended particles and Hall currents are found to have a destabilizing effect on the system. The critical Rayleigh numbers and wave numbers of the associated disturbances for the onset of stability as stationary convection are obtained. The principle of exchange of stabilities is not valid for the problem under consideration, whereas in the absence of Hall currents (hence magnetic field), it is valid under certain conditions.

Combined effect of magnetic field and rotation on thermal stability of a couple-stress fluid heated from below in the presence of suspended particles

Aggarwal A. K., Makhija S.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 4

931-942

Thermal stability of a couple-stress fluid in the presence of suspended particles, magnetic field and rotation is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, it is found that suspended particles have a destabilizing effect whereas rotation has a stabilizing effect. The magnetic field and couple-stresses have a stabilizing effect under certain conditions. In the absence of rotation, couple-stresses and magnetic field have a stabilizing effect on the system. It is found that the principle of exchange of stabilities is satisfied in the absence of the magnetic field.