Abstract

In this paper, thermoconvection in a Kuvshiniski Ferrofluid in presence of rotation and varying gravitational field through a porous medium is studied. Linear stability theory and normal mode technique are used to obtain the dispersion relationship. The effects of medium permeability, rotation and magnetization on the stationary convection of the system have been analyzed analytically and graphically and it turns out that medium permeability stabilizes as well as destabilizes the system for both $c<0$ and $c>0$. Also, rotation stabilizes the system for $c>0$ and destabilizes the system for $c<0$. Furthermore, magnetization stabilizes the system for both $c<0$ and $c>0$. The principle of the exchange of stabilities is fulfilled for the present problem under certain conditions.

Keywords and Phrases

Thermoconvection, Kuvshiniski Ferrofluid, Rotation, Magnetization, Porous medium.

A.M.S. subject classification

76A10, 76D05, 76E06, 76E07, 76M25, 76S05, 76U05, 76W05.

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