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
Vijaya, R. B.; Prasad, K. M.; and Umadevi, C.
A Mathematical Model for Micropolar Fluid Flow Through an Artery with the effect of Stenosis and Post Stenotic Dilatation,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
2, Article 12.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss2/12