Abstract
Effect of an axially applied magnetic field on the stability of a ferrofluid flow in an annular space between two coaxially rotating cylinders with nonaxisymmetric disturbances has been investigated numerically. The critical value of the ratio Ω∗ of angular speeds of the two cylinders, at the onset of the first nonaxisymmetric mode of disturbance, has been observed to be affected by the applied magnetic field.
Highlights
The problem of a viscous flow in between two coaxially rotating cylinders has been of wide interest since Taylor’s classical work [15]
With axially applied magnetic field, the critical value Ω∗c varies with the parameter ψ characterizing the magnitude of applied magnetic field
We have investigated the stability of Couette flow of a ferrofluid with nonaxisymmetric disturbance in the presence of axial magnetic field
Summary
The problem of a viscous flow in between two coaxially rotating cylinders has been of wide interest since Taylor’s classical work [15]. Singh and Bajaj [14] have discussed the stability of Couette flow of ferrofluid in the presence of an axially applied magnetic field They have taken into account the axisymmetric perturbations of magnetic field in the ferrofluid in the gap between two uniformly rotating cylinders. Chang et al [4] have studied the stability of ferrofluid flow between two concentric rotating cylinders in the presence of constant axial magnetic field They have discussed the linear stability of this problem in general. The magnetic field perturbations in ferrofluid in the gap between two uniformly rotating cylinders have been considered and their effect on the stability of flow for the onset of the first nonaxisymmetric mode of disturbance has been investigated
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