Casson Blood in Narrow Stenosed Arteries under MHD and Slip Shear Dependent Viscosity Effects

Abstract

This study investigates the hemodynamic behavior of Casson blood flow through a stenosed arterial segment under the combined effects of magnetic field (MHD), wall slip, and shear-dependent viscosity. The mathematical model incorporates a steady, axisymmetric, and incompressible flow with a transverse magnetic field applied to an electrically conducting Casson fluid. Analytical solutions are obtained under mild stenosis and low magnetic Reynolds number approximations. The influence of Hartmann number, slip parameter, and yield stress on velocity distribution, volumetric flow rate, and wall shear stress is analyzed. Results reveal that increasing the magnetic field strength significantly suppresses the volumetric flow rate while enhancing wall shear stress due to intensified Lorentz forces. Conversely, higher wall slip reduces the flow resistance and shear stress, promoting smoother motion. The findings provide important insights into the magnetohydrodynamic regulation of blood flow in diseased arteries and the potential therapeutic relevance of wall slip effects in microvascular transport.