The Blood Flow of Prandtl Fluid Through a Tapered Stenosed Arteries in Permeable Walls with Magnetic Field

Abstract

Abstract This Communication deals with the blood flow of Prandtl fluid through a tapered stenosed arteries having permeable walls. The governing equations of two-dimensional Prandtl fluid model are modelled in cylindrical coordinates. The highly nonlinear equations are simplified with the help of non-dimensional variables under the assumption of mild stenosis. The solution of reduced nonlinear equation subject to boundary condition of porous walls having the effects of Darcy's number and slip parameter are computed analytically with the help of perturbation method. Effects of emerging parameters such as impedance λ, slip parameter α, stenosis height δ, magnetic parameter and stress component Srz on velocity are illustrated graphically. The streamlines have also been presented to discuss the trapping bolus discipline.