INFLUENCE OF TRANSVERSE MAGNETIC FIELD ON STEADY BLOOD FLOW IN A STENOSED ARTERY: NUMERICAL AND ANALYTICAL INSIGHTS

Abstract

In this study, blood is assumed to be an electrically conducting fluid, allowing the effects of a magnetic field on blood flow to be observed. By applying boundary conditions, the governing equations of motion are solved, yielding a solution in the form of a Bessel-Fourier series. Extensive numerical analysis evaluates the effects of Hartmann numbers, Reynolds numbers, stenosis size, stenosis length, and stenosis shape parameters on velocity, flow rate, resistance to flow, and wall shear stress. The model's significance is highlighted by comparing its results with existing theories. The results indicate that resistance to blood flow decreases under different magnetic fields and decreases further as the stenosis shape parameter increases. The magnetic field helps reduce resistance due to irregular boundaries, effectively decelerating blood flow in flow problems. This study successfully predicts key characteristics of physiological flows and may have significant implications for biomedical applications, offering improvements and extensions over existing theoretical models in the literature.