• EFFECT OF UNSTEADY FLOW IN A ROTATING PARALLEL PLATE CHANNEL WITH A POROUS BED

Abstract

In this Paper we make an initial value investigation of the flow of an incompressible viscous fluid in rotating channel bounded above by a rigid plane and below by the porous bed abutting the impermeable boundary plane. The flow in the non-porous region is governed Navaier-Stokes equations while the Brinkman model is used in the porous bed.  The perturbations in the flow are created by the constant pressure gradient along in the plate in addition to non-torsional oscillations of the lower plate.  Initial valve problem has been solved making use of transform techniques and exact solution of velocity in the clean fluid and the porous region are evaluated. The velocity field consists of steady state, quasi steady state and the transient components. The time required for the decay of the transient term is discussed and the ultimate quasi steady state solution is analyzed with focus on its physical nature. The stresses on the boundary planes have also been evaluated. The behavior of the velocity and the stress with reference to variations in the governing parameters namely E, the Ekman number, D, the Darcy parameter and h, the non dimensional thickness of bed has been computationally discussed.