HealthGuard: Health and Preventive Medicine Research

Computational Analysis of Magneto-Hemodynamic Blood Flow in An Axisymmetric Stenosed Artery Incorporating Hall Current Effects and Shear-Dependent Viscosity

Abstract

Agraj Gupta

Background and Objective: The interaction of blood flow with strong magnetic fields has become increasingly relevant in biomedical environments such as diagnostic imaging and magnetically assisted therapies. Arterial stenosis significantly alters normal hemodynamics and may further modify flow behavior under magnetic exposure. The objective of this study is to investigate unsteady magneto-hemodynamic blood flow in a stenosed artery by incorporating shear dependent viscosity and Hall current effects.

Methods: Blood flow is modeled as an incompressible, electrically conducting, non-Newtonian fluid owing through an axisymmetric stenosed arterial segment. An axially varying magnetic field and Hall current effects are incorporated into the governing equations. The resulting system is solved numerically using a stable semi- implicit finite difference scheme. Numerical accuracy is ensured through grid independence and convergence analyses, and physiological calibration is performed using experimentally measured arterial pressure data obtained from a public database.

Results: The results demonstrate that stenosis severity and magnetic field strength significantly influence axial velocity, wall shear stress, and volumetric flow rate. Magnetic field exposure suppresses axial velocity, while Hall current effects partially mitigate magnetic damping. All predicted hemodynamic quantities remain within established physiological ranges.

Conclusions: The proposed computational framework provides physiologically realistic predictions of blood flow in a stenosed artery under magnetic field exposure. The ndings highlight the combined influence of vascular geometry, blood rheology, and electromagnetic forces, with potential relevance for computational cardiovascular analysis.