Dean instability in ferrofluids

Abstract

The linear instability of the Dean-flow is considered in ferrohydrodynamics (FHD) with respect to the axisymmetric and the non-axisymmetric perturbations. The onset of the instability is influenced by the applied magnetic field, acting along the axis of the cylinders. The applied magnetic field may advance or delay the onset of the instability, depending upon its magnitude and the radius ratio of the cylinders. The preferred mode for the onset of the instability in the Dean problem remains axisymmetric in the presence of the applied magnetic field just as in the absence of the magnetic field. The onset of the instability depends very little on the magnetic nature of the boundaries. The numerical computations indicate that the principle of exchange of stability is valid for the FHD Dean problem.

Magnetohydrodynamic Fluid Flow due to an Unsteady Stretching Sheet with Thermal Radiation, Porous Medium, and Variable Heat Flux

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