PULSATILE MOTION OF BLOOD IN A CIRCULAR TUBE OF VARYING CROSS-SECTION WITH SLIP FLOW

Abstract

Pulsatile motion of blood in a circular tube of varying cross-section has been developed by considering slip flow at the tube wall and the blood to be a non- Newtonian biviscous incompressible fluid. The tube wall is supposed to be permeable and the fluid exchange across the wall is accounted for by prescribing the normal velocity of the fluid at the tube wall. The tangential velocity of the fluid at the tube wall is also accounted in the present investigation. A perturbation technique has been carried out for low Reynolds number flow and for small amplitude of oscillation. The effects of slip parameter, leakage parameter, Reynolds number and apparent viscosity coefficient on the streamlines, wall shear stress and pressure drop have been discussed and shown graphically for suction and injection respectively.