We have studied the unsteady Couette flow of a viscous incompressible fluid confined
between parallel plates, rotating with an uniform angular velocity about an axis normal to the
plates. The flow is induced by the motion of the upper plate and the fluid and plates rotate in
unison with the same constant angular velocity. An exact solution of the governing equations
have been obtained for small and large time τ by applying Laplace transform technique. It is
found that the primary velocity decreases with increase in rotation parameter for small as …

The unsteady Couette flow between two infinite horizontal plates induced by the non-
torsional oscillations of one of the plates in a rotating system under the boundary layer
approximations is investigated. An exact solution of the governing equations has been
obtained by using Laplace transform technique. It is shown that when the oscillating plate
situated at an infinite distance from stationary plate then the problem reduces to the
unsteady boundary layer problem in a rotating system with non-torsional oscillations of the …