EFFECTS OF SLIP CONDITION AND MULTIPLE CONSTRICTIONS ON COUPLE STRESS FLUID FLOW THROUGH A CHANNEL OF NON UNIFORM CROSS SECTION

Steady incompressible couple stress fluid flow through a non-uniform channel with two stenoses is investigated. Assuming the stenoses to be mild and using the slip boundary condition, the equations governing the flow of the proposed model are solved and closed form expressions for the flow characteristics (resistance to flow and wall shear stress) are derived. Both the resistance to flow and the wall shear stress increase with the heights of the stenoses and slip parameter but decrease with Darcy number. The effects of wall exponent parameter on the flow characteristics also have been studied.