A mathematical model for the slip condition of the blood flow through a stenosed artery using casson-fluid flow

Abstract

The mathematical model is developed by considering blood as Casson fluid through the asymmetric artery with the stenosis. The non-Newtonian fluid behaviour is characterized by using Casson-fluid flow model. The analytic expression for flow rate, resistance to flow and skin friction are derived by using this model. We observed that the flow rate decreases when the yield stress and viscosity coefficient increases, the skin-friction increases with the increase of yield stress in presence of slip velocity for velocity coefficient parameter. The results are derived in detail with the help of graphs for the variation of different flow parameter. Flow rate, resistance to flow, and skin-friction and impedance analysis of the casson fluid have been shown graphically by varying the yield stress.