Abstract
A model of magnetohydrodynamic blood flow through an artery with a mild stenosis under the influence of metallic nanoparticles is presented. The coupled nonlinear partial differential equations governing the problem are simplified by subject to reasonable modeling and stenosis approximations to obtain analytic expressions for the flow character- istics. The expressions for velocity, temperature, stream function, flow resistance and wall shear stress distribution are obtained in the present analysis. Effects of some emerging phys- ical parameters on arterial blood flow characteristics are shown graphically and discussed briefly under the influence of metallic nano particles (nanofluid model). Finally, stream line patterns illustrating size and number of trapping boluses are introduced and discussed for various imbedded parameters.
Highlights
Stenoses in the arteries of mammals are common occurrence, and for many years researchers have endeavored to model the flow of blood through stenosed arteries experimentally and theoretically.It is known that arterial diseases are chief cause of death in most of the western world
Stenosis or arteriosclerosis, which means narrowing of any body passage, is an abnormal and unnatural increase in the arterial wall thickness that develops at various locations of the cardiovascular system under diseased conditions
Perhaps the actual cause of abnormal growth in an artery is not completely clear to the theoretical investigators but its effect over the cardiovascular system has been determined by studying the flow characteristics of blood in the stenosed area
Summary
Stenoses in the arteries of mammals are common occurrence, and for many years researchers have endeavored to model the flow of blood through stenosed arteries experimentally and theoretically. Mekheimer et al (see [2]) study the effect of the induced magnetic field on blood flow through an anisotropically tapered elastic arteries with overlapping stenosis in an annulus. We study the effects of metallic nanoparticles on the blood flow (conducting fluid) through an elastic vertical artery with a stenosis under effect of an external magnetic field. Such analysis may be useful in understanding magnetic resonance angiography (MRA) which is one of radiological investigations of atherosclerosis. The study is useful for evaluating the role of nanoparticles of the stenosed arterial wall when the body is subjected to magnetic resonance imaging (MRI)
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