FLOW OF COUPLE STRESS FLUID IN CONTACT WITH A NEWTONIAN FLUID IN AN INCLINED CHANNEL BOUNDED BY PERMEABLE BEDS

The problem of steady laminar fully developed flow and heat transfer in an inclined channel consisting of a couple-stress fluid sandwiched between two Newtonian fluids with permeable beds is investigated. The flow in the permeable beds is governed by Darcy’s law. The closed form solutions are obtained for the velocity and temperature fields in the channel. The effect of permeability on the velocity and temperature is discussed. We observed that for a given y, the velocity increases with increasing Darcy number and for a given y, the temperature increases with increasing couple stress parameter a.