Peristaltic Transport with Viscous Dissipation Effect in a Multi-stenosed Artery

In this paper, we investigated the effect of pulse amplitude, radius of constriction and Reynolds number on the blood flow through a multi-stenosed artery under the influence of viscous dissipation and insignificant free convective force. The blood flowing through the artery is assumed Newtonian and the artery rigid. The governing nonlinear and coupled partial differential equations are simplified using the stream function and vorticity. The resulting equations are non-dimensionalized and solved by the perturbation series solutions method, as developed by Rao and Devanathan [12]. Analytical expressions are obtained for the flow velocities, pressure and temperature. The effects of the embedded parameters are analyzed quantitatively using graphs. Discussions are considered from a physiologic or clinical point of view. The present model may have some bio-medical applications.