A Mathematical Model for Micropolar Fluid Flow Through an Artery with the effect of Stenosis and Post Stenotic Dilatation

Abstract

The effects of both stenosis and post stenotic dilatation have been studied on steady flow of micropolar fluid through an artery. Assuming the stenosis to be mild, the equations governing the flow of the proposed model are solved. Closed form expressions for the flow characteristics such as velocity, pressure drop, and volumetric flow rate, resistance to the flow and wall shear stress are derived. The effects of various parameters on resistance to the flow and wall shear stress have been analyzed through the graphs. It is found that the resistance to the flow increases with the height and length of the stenosis, but the resistance to the flow decreases with stenotic dilatation. With the increase of the coupling number the resistance to the flow increases. However, the effect of coupling number is not very significant. The resistance to the flow decreases with the micropolar fluid parameter. The wall shear stress increases with coupling number and stenosis height, but it decreases with micropolar fluid parameter and stenotic dilatation

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