Analysis of flow parameters in blood flow through mild stenosis
Abstract
A buildup of plaque that contracts arteries and decreases blood flow to the heart causes chest pain, difficulties in breathing, or another coronary artery disease, medically called stenosis puts our lives at risk. We have used Navier-Stokes equations in a cylindrical polar coordinate system to study this problem by considering the flow is steady, axially symmetrical, fully developed, and laminar. Flow parameters like velocity profile, pressure drop, shear stress, and volumetric flow rate in the stenosed regions are analyzed after getting analytical solutions. Results revealed that the pressure drop decreases with the increased thickness of stenosis. The volumetric flux decreases highly as the viscosity increases. The velocity of blood flow decreases exponentially for a small increment of viscosity. Shear stress increases with indices of the power law of shear rate.
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