Analysis Of Two-Layered Model Of Blood Flow Through Stenosed Tube With Permeable Walls In The Presence Of Magnetic Field Considering Blood As Couple Stress Fluid With Variable Viscosity And Slip Velocity

Abstract

The paper investigates the “two-layered model of blood flow” as steady incompressible couple stress fluid through one-dimensional channel in multi-stenosed blood vessel. Within the core region, the blood flow is conceptualized as a dynamic entity exhibiting the attributes of a couple stress fluid, distinguished by variable viscosity orchestrated in accordance with the precepts delineated by the Einstein relation and the peripheral region of the tube comprises of plasma which is considered as “Newtonian fluid with constant viscosity”. The governing equations of the blood flow are solved using the Frobenius technique using the slip boundary condition and the expressions are derived for peripheral and central velocities along with shear stress and pressure gradient. The effects of various parameters on the flow variables have been emphasised. MATLAB programming software is used to visualize the results regarding shear stress and pressure gradient. The study further interrogates the effect of change in thickness of peripheral layer on pressure gradient under the influence of magnetic field and slip velocity.