Effect of Coriolis Force on Benard-Marangoni Convection in a Rotating Ferrofluid Layer with MFD Viscosity

摘要

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 A, Taylor number T α, magnetic susceptibility X and Biot number Bi but opposite is the case with an increase in the value of magnetic numberM_1 and nonlinearity of fluid magnetization M_3. Further, increase inM_1, M_3 and decrease in Λ, T α, X and Bi 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.