Magnetic, Radiation and Soret Effects on Carreau Fluid Model of Blood Flow Through Stenosed Artery With Porous Walls

The current article focuses on developing a four-layer mathematical model, including the energy and concentration balances, of steady, laminar, axisymmetric, incompressible blood flow through an artery that exhibits mild stenosis. This four-layer model consists of a central core region filled with erythrocytes suspended in a non-Newtonian Carreau fluid, an outer peripheral cell-free plasma region of Newtonian fluid and a porous wall composed of thin Brinkman and Darcy regions. The governing partial differential equations are reduced to ordinary differential equations due to the slow flow of blood and the assumption of a constant axial pressure gradient in all four regions. The reduced equations, along with the appropriate interface and boundary conditions, were solved numerically using MATLAB's bvp5c solver. The effects of a magnetic field, gravitational force, the radiation parameter, hematocrit levels and the Schmidt and Soret numbers on the velocity profiles; the effect of the radiation on the temperature distribution; and the effects of the Schmidt and Soret numbers on the concentration profile are investigated. The results obtained from the present model are compared with the existing literature and found to be in good agreement. The study presents important findings concerning the impact of radiation therapy, specifically focusing on how magnetic fields and stenoses affect blood flow.