Abstract

The present paper a finite element implementation of a model of the arterial blood flow through the carotid artery with the effects of magnetic to considering fluid–wall interactions are investigated. The Navier–Stokes equations are used as the governing equations for the blood flow while an elastic compliant model is used for the arterial wall. The reduced one dimensional model solves the momentum and continuity equations in compliant tubes so as to reproduce the propagation of the pressure pulse in the arterial model. The obtained results adequately reproduce the general flow patterns reported in the literature. The results obtained in the investigation are in reasonably good agreement with experimental findings existing in the literature. The effects of a magnetic field have been used to control the flow, which may be useful in certain hypertension cases, etc.

Highlights

  • One of the leading causes of deaths in the world is due to heart related diseases

  • The heart diseases mainly occur due to temporary deficiency of oxygen or blood supply to the heart. This deficiency may be due to a constriction or obstruction in the blood supply to that part; the constriction involves the deposition of some fatty substances like cholesterol, cellular waste product, calcium, etc

  • A mathematical model that face the problem of simulating compliant three dimensional arterial districts coupled with a one dimensional model of the rest of the arterial tree has investigated

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Summary

Introduction

One of the leading causes of deaths in the world is due to heart related diseases. The heart diseases mainly occur due to temporary deficiency of oxygen or blood supply to the heart. [6] used magnetic resonance imaging (MRI) to study arterial homodynamics This stenosis disturbs the flow of blood from its normal state which leads to the development of atherosclerosis. The study of the flow in the carotid artery bifurcation is of great clinical interest with respect to both, the genesis and the diagnostics of atherosclerotic diseases. It is well‐known that the flow separation zone of the carotid sinus has the propensity to develop atherosclerotic plaques. In this sense, the local haemodynamic structure is intimately related to atherogenesis onset and progress [2]. Despite the importance of chemical and physiological factors, the localized atherosclerotic lesions

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