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Abstract
Magnetohydrodynamic (MHD) effects of unsteady blood flow on Casson fluid through an artery with overlapping stenosis were investigated. The nonlinear governing equations accompanied by the appropriate boundary conditions were discretized and solved based on a finite difference technique, using the pressure correction method with MAC algorithm. Moreover, blood flow characteristics, such as the velocity profile, pressure drop, wall shear stress, and patterns of streamlines, are presented graphically and inspected thoroughly for understanding the blood flow phenomena in the stenosed artery.
Highlights
Stenosis is an abnormal increase in the thickness of the arterial wall that can develop at various locations in the vascular system under diseased conditions [1]
Consider the blood flow through a uniform straight artery with an axisymmetric overlapping stenosis in a dimensionless form, as shown in Figure- 1 [7]
Figure-5 reveals that the wall shear stress increases substantially to reach its maximum height at the throats of the overlapping stenosis in the axial direction at z= 30 and z = 70
Summary
Stenosis is an abnormal increase in the thickness of the arterial wall that can develop at various locations in the vascular system under diseased conditions [1]. Chakravarty and Mandal [4] stated that the presence of an overlapping stenosis in the artery is more critical than of a mild one For this reason, researches have shown an increased interest to evaluate the effects of this kind of stenoses with different conditions and methods. Examined the hemodynamics of the stenosed artery To better understand this disease, an analytical study of blood flow considering the pressure variation along the axis of the artery was introduced [7]. The Newtonian model of blood was further considered [8, 9] to establish the impacts of the overlapping stenotic artery on the features of the flow This problem was adopted with steady equations and one-dimensional laminar blood flow [10], while another investigation [11] focused on the narrow artery and Casson fluid model. A finite difference technique using the pressure correction method with marker and cell algorithm was employed to numerically solve the nonlinear governing equations
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