Analysis of biomagnetic blood flow in a stenosed bifurcation artery amidst elastic walls

Abstract

In recent years, fluid-structure interaction (FSI) analysis has generated remarkable interest of researchers in interdisciplinary sciences problems, for instance, mechanical engineering, biomedical engineering, i.e., incorporating elastic wall behaviour in human arteries. Here, in this paper, we considered incompressible Newtonian blood flow and the elastic bifurcated artery wall in a non-uniform magnetic field. The considered model of Biomagnetic Fluid Dynamics (BFD) describes both magnetization and electrical conductivity of blood. Moreover, an Arbitrary Lagrangian-Eulerian (ALE) formulation is used by two-way fluid-structure interaction coupling of the problem. Finally, for discretization, a stable finite element pair is employed to approximate the displacement, velocity and pressure spaces independently and the resulting nonlinear algebraic system is linearized by implementing the Newtons procedure. A quantitative analysis is made against Reynolds number Re and Hartmann number Ha on the bifurcated artery amidst elastic walls showing noticeable effects on recirculation. Also, the displacement field is plotted against Ha for different values of Re and their converse behaviour is observed. The decreasing behaviour for the wall shear stresses of the bifurcated artery are also drawn in context of Ha and Re. Finally, the conclusion is drawn at the end showing the significance of the elastic behaviour of artery walls.