Effect of Coriolis Force on Bénard–Marangoni Convection in a Rotating Ferrofluid Layer with MFD Viscosity

Abstract

The simultaneous effect of Coriolis force due to rotation and magnetic field dependent (MFD) viscosity on the onset of Benard-Marangoni convection in a horizontal ferrofluid layer in the presence of a uniform vertical magnetic field is studied. The lower boundary is rigid while the upper free boundary is open to the atmosphere and at which the temperature-dependent surface tension effect is allowed for. The Galerkin technique is employed to extract the critical stability parameters numerically. The results show that the onset of Benard-Marangoni ferroconvection is delayed with an increase in the MFD viscosity parameter Λ, Taylor number T a, magnetic susceptibility χ and Biot number B i but opposite is the case with an increase in the value of magnetic number M 1 and nonlinearity of fluid magnetization M 3. Further, increase in M 1,M 3 and decrease in Λ,T a, χ and B i is to decrease the size of the convection cells. Comparisons of results between the present and the existing ones are made under the limiting conditions and good agreement is found.