Abstract
The present investigation concerns the fluid mechanical study on the effects of the permeability of the wall through an axisymmetric stenosis in an artery assuming that the flowing blood is represented by a two-fluid model. The expressions for the blood flow characteristics, the impedance, the wall shear stress distribution in the stenotic region and the shearing stress at the stenosis throat have been derived. Results for the effects of permeability as well as of the peripheral layer on these blood flow characteristics are quantified through numerical computations and presented graphically and discussed comparatively to validate the applicability of the present model.
Highlights
IntroductionThe frequently occurring cardiovascular disease, arteriosclerosis or stenosis, responsible for many of the diseases (myocardial infarction, cerebral strokes, angina pectoris, etc.), is the unnatural and abnormal growth that develops at various locations of the cardiovascular system under diseased conditions
The frequently occurring cardiovascular disease, arteriosclerosis or stenosis, responsible for many of the diseases, is the unnatural and abnormal growth that develops at various locations of the cardiovascular system under diseased conditions
The etiology of the initiation of the disease is not well understood but it is well established that once the constriction has developed, it brings about the significant changes in the flow field
Summary
The frequently occurring cardiovascular disease, arteriosclerosis or stenosis, responsible for many of the diseases (myocardial infarction, cerebral strokes, angina pectoris, etc.), is the unnatural and abnormal growth that develops at various locations of the cardiovascular system under diseased conditions. Bugliarello and Sevilla [2] and Cokelet [4] have shown experimentally that for blood flowing through small vessels, there is a cell-free plasma (Newtonian viscous fluid) layer and a core region of suspension of all the erythrocytes. R.K. Srivastav and V.P. Srivastava / On two-fluid blood flow through stenosed artery increase in permeability results from dilated, damaged or inflamed arterial walls. The mathematical model considers the flowing blood as a two-layered Newtonian fluid, consisting of a core region (central layer) of suspension of all the erythrocytes assumed to be a Newtonian fluid, the viscosity of which may vary depending on the flow conditions and a peripheral region (outer layer) of another Newtonian fluid (plasma) of constant viscosity, in an artery with permeable wall
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