Effect of Slip Velocity on Blood Flow Through Composite Stenosed Arteries: A Herschel–Bulkley Fluid Model

Abstract

In the present study we have developed a mathematical model for analyzing the flow characteristics of blood through an atherosclerotic arterial segment taking the velocity slip condition at the arterial wall. Blood is considered as Herschel–Bulkley fluid flowing in a uniform right circular tube having a composite stenosis. The dimensionless expressions of wall shear stress, flow resistance, volumetric flow rate in the stenotic region, apparent viscosity and axial velocity have been derived. The graphical representations for the influence of flow behaviour index, slip velocity, axial length and stenosis height on wall shear stress, flow resistance, volumetric flow rate, apparent viscosity and axial velocity have been shown. It has been observed that volumetric flow rate and axial velocity increase but wall shear stress and apparent viscosity decrease with slip velocity at arterial wall.