Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Fluid-Structure Interaction: Numerical Analysis of Biomagnetic Flow Inhibition on a Plaque in a Stenosed Bifurcation Artery

Version 1 : Received: 5 March 2023 / Approved: 7 March 2023 / Online: 7 March 2023 (02:03:46 CET)

How to cite: RAZZAQ, M. Fluid-Structure Interaction: Numerical Analysis of Biomagnetic Flow Inhibition on a Plaque in a Stenosed Bifurcation Artery. Preprints 2023, 2023030117. https://doi.org/10.20944/preprints202303.0117.v1 RAZZAQ, M. Fluid-Structure Interaction: Numerical Analysis of Biomagnetic Flow Inhibition on a Plaque in a Stenosed Bifurcation Artery. Preprints 2023, 2023030117. https://doi.org/10.20944/preprints202303.0117.v1

Abstract

To investigate the impact of a magnetic field on plaque development in a stenotic bifurcated artery, a finite element method is utilized. The blood flow is modelled as a stable, incompressible, Newtonian, biomagnetic, and laminar fluid. Furthermore, the arterial wall is assumed to be linear elastic. The Arbitrary Lagrangian Eulerian (ALE) method is employed to describe the hemodynamic flow in a bifurcated artery under the influence of an asymmetric magnetic field, taking into account two-way fluid-structure interaction coupling. A stable $P_2P_1$ finite element pair discretizes a nonlinear system of partial differential equations that requires a solution. The Newton-Raphson method is utilized to find a solution to the resulting nonlinear algebraic equation system. Numerical modelling is used to simulate the presence of magnetic fields, and the resulting displacement, velocity magnitude, pressure, and wall shear stresses are shown for a range of Reynolds numbers ($Re = 500$, $1000$, $1500$, and $2000$). The results of the numerical analysis demonstrate that the presence of a magnetic field has a significant effect not only on the magnitude of displacement but also on the velocity of the flow. The application of a magnetic field reduces flow separation, extends the recirculation area near the stenosis, and increases wall shear stress.

Keywords

Bifurcation; Elastic walls; Finite element method; Stenosis; Wall shear stress; Mag-netic field

Subject

Computer Science and Mathematics, Computational Mathematics

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