Ferromagnetic Convection in a Rotating Ferrofluid Saturated Porous Layer |
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Authors: | I S Shivakumara Jinho Lee C E Nanjundappa M Ravisha |
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Institution: | 1.UGC-CAS in Fluid mechanics, Department of Mathematics,Bangalore University,Bangalore,India;2.School of Mechanical Engineering,Yonsei University,Seoul,South Korea;3.Department of Mathematics,Dr. Ambedkar Institute of Technology,Bangalore,India;4.Department of Mathematics,Smt. Rukmini Shedthi Memorial National Government First Grade College,Barkur,India |
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Abstract: | The effect of Coriolis force on the onset of ferromagnetic convection in a rotating horizontal ferrofluid saturated porous
layer in the presence of a uniform vertical magnetic field is studied. The boundaries are considered to be either stress free
or rigid. The modified Brinkman–Forchheimer-extended Darcy equation with fluid viscosity different from effective viscosity
is used to characterize the fluid motion. The condition for the occurrence of direct and Hopf bifurcations is obtained analytically
in the case of free boundaries, while for rigid boundaries the eigenvalue problem has been solved numerically using the Galerkin
method. Contrary to their stabilizing effect in the absence of rotation, increasing the ratio of viscosities, Λ, and decreasing
the Darcy number Da show a partial destabilizing effect on the onset of stationary ferromagnetic convection in the presence of rotation, and
some important observations are made on the stability characteristics of the system. Moreover, the similarities and differences
between free–free and rigid–rigid boundaries in the presence of buoyancy and magnetic forces together or in isolation are
emphasized in triggering the onset of ferromagnetic convection in a rotating ferrofluid saturated porous layer. For smaller
Taylor number domain, the stress-free boundaries are found to be always more unstable than in the case of rigid boundaries.
However, this trend is reversed at higher Taylor number domain because the stability of the stress-free case is increased
more quickly than the rigid case. |
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