THE EFFECT OF ANISOTROPY ON THE STABILITY OF THERMOMAGNETIC CONVECTION IN A FERROFLUID SATURATED POROUS LAYER
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The e ect of mechanical and thermal anisotropy on the stability of ferroconvection in a ferro uid saturated porous layer heated from below is investi- gated theoretically using modi ed Brinkman extended-Darcy equation with uid viscosity di erent from e ective viscosity. The bounding surfaces of the porous medium are considered to be rigid-ferromagnetic with constant heat ux condi- tions at these surfaces. The resulting eigenvalue problem is solved for realistic rigid-ferromagnetic boundaries the critical stability parameters are obtained nu- merically using the Galerkin method. It is observed that increase in the value of thermal anisotropy parameter and viscosity ratio is to delay the onset of ferro- convection, while increase in the value of mechanical anisotropy parameter and magnetic number is to hasten the onset of ferroconvection. Further, the nonlin- earity of uid magnetization has no in uence on the stability of the system.
Abstract
The e ect of mechanical and thermal anisotropy on the stability of ferroconvection in a ferro uid saturated porous layer heated from below is investi- gated theoretically using modi ed Brinkman extended-Darcy equation with uid viscosity di erent from e ective viscosity. The bounding surfaces of the porous medium are considered to be rigid-ferromagnetic with constant heat ux condi- tions at these surfaces. The resulting eigenvalue problem is solved for realistic rigid-ferromagnetic boundaries the critical stability parameters are obtained nu- merically using the Galerkin method. It is observed that increase in the value of thermal anisotropy parameter and viscosity ratio is to delay the onset of ferro- convection, while increase in the value of mechanical anisotropy parameter and magnetic number is to hasten the onset of ferroconvection. Further, the nonlin- earity of uid magnetization has no in uence on the stability of the system.
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