Free and forced convection flow in a rotating channel bounded below by a permeable bed

Abstract

The steady flow in a parallel plate channel rotating with an angular velocity Ω and bounded below by a permeable bed is analysed under the effect of buoyancy force. On the porous bed the boundary condition of Beavers and Joseph is applied and an exact solution of the governing equations is found. The solution in dimensionless form contains four parameters: The permeability parameter σ2, the Grashof number G, the rotation parameter K2 and a dimensionless constant α. The effects of these parameters, specially, σ2, G and K2, on the slip velocities and velocity distributions are studied. For large K2, there arise thin boundary layers on the walls of the channel. © 1978 Indian Academy of Sciences.