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1 International Journal of Applied Mechanics and Engineering

1 2011

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Effects of Hall current on unsteady hydromagnetic Couette flow in a rotating system induced by an accelerated movement of one of the plates of the channel in the presence of an inclined magnetic field

Seth G. S., Nandkeolyar R., Ansari M. S.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 3

835-849

Effects of Hall current on an unsteady hydromagnetic Couette flow, induced due to an accelerated movement of the lower plate of the channel in a rotating system when the fluid flow is permeated by an inclined magnetic field is studied. An exact solution for the fluid velocity is obtained by the Laplace transform technique. The expression for the shear stress at the moving plate is also derived. An asymptotic behavior of the solution is analyzed for small and large values of time to gain some physical insight into the flow-pattern. It is found that Hall current, rotation and angle of inclination of the magnetic field tend to accelerate fluid flow in both the primary and secondary flow directions, whereas the magnetic field has a tendency to retard fluid flow in both the primary and secondary flow directions.