Magnetic field and Heat generation effects ontwo phases blood flow in stenosed artery

Abstract

This study investigates the effects of heat generation and magnetic fields on two-phase blood flow in a stenosed artery, focusing on the distinct regions of the core and plasma. The governing mathematical model comprises a system of partial differential equations (PDEs) that are transformed into a system of ordinary differential equations (ODEs) through similarity transformations. Analytical solutions for the velocity, temperature, and concentration profiles in both regions are derived using Bessel's equation. To enhance the understanding of the underlying physics, numerical simulations are conducted, and the results are presented graphically. The findings indicate that the presence of a magnetic field significantly reduces blood motion in both the core and plasma regions. This research contributes to the understanding of hemodynamic behavior in pathological conditions, with implications for the development of therapeutic strategies targeting arterial diseases.