The Casson fluid model for blood flow through an inclined tapered artery of an accelerated body in the presence of magnetic field

Abstract

This paper deals with the analytical investigation of Casson model for axisymmetric pulsatile blood flow through an inclined stenosed artery of a periodically accelerated body under the influence of a magnetic field. Invoking suitable transformations, the flow governing partial differential equations are non-dimensionalised. For these non-dimensionalised equations, an exact solution representing the different flow characteristic has been derived by employing the perturbation method. Plug flow radius, plug flow velocity, flow rate and impedance analysis of the Casson fluid have been done graphically by varying the yield stress, inclination of artery, body acceleration and pressure gradient. Some important results are obtained pertaining to the medical interest.