Unsteady Hydro-Magnetic Flow of an Oldroyd Fluid through a Porous Channel with Oscillating Walls

Abstract

The investigation concerns the time-dependent flow of an incompressible unsteady conducting Oldroyd fluid through a porous channel, which is under the influence of transverse magnetic field. It is assumed that the fluid is injected through lower plate with a constant velocity V and it is sucked off with the same velocity through the upper plate. Laplace transform method has been employed fort and the differential equations, which do not involve the retardation time constant, are solved using a perturbation scheme treating visco-elastic parameter to be small. Results are investigated for relaxation parameter, Hartman number and cross-flow Reynolds number on velocity and skin friction of the flow with graphs