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Modeling of blood flow with stenosis and dilatation

Mallinath Dhange, Gurunath Sankad and Umesh Bhujakkanavar

Vol. 10 (2022), No. 2, 155–169

The stenosis of an artery lowers blood flow in the artery. This stenosed artery induces tangential pressure stress, which weakens the arterial wall and leads to dilatation or aneurysm. This article examines blood flow through an inclined tube with stenosis and expansion after stenosis (dilation) under the effect of a steady incompressible Casson fluid flow. The mechanically regulated stenosis formation and post-stenotic dilatation in blood vessels were studied by using a mild stenosis approximation and appropriate boundary conditions. Expressions for velocity, pressure drop, wall shear stress, and flow resistance are derived analytically. The impact of various physical parameters on fluid resistance to flow and wall shear stress is investigated. The wall shear stress and the impedance of the flow increase for the height of stenosis and decrease for the height of dilatation with a rise in the angle of proclivity. It is seen that the plug flow radius is more in the case of the inclined artery as compared to the noninclined artery.

stenotic artery, dilatation, Casson fluid, impedance, wall shear stress
Mathematical Subject Classification
Primary: 76D05, 76D99, 76Z05, 92C10
Received: 20 October 2021
Revised: 2 November 2021
Accepted: 25 March 2022
Published: 25 October 2022

Communicated by Anil Misra
Mallinath Dhange
Department of Mathematics
BLDEA’s VP Dr. PG Halakatti College of Engineering and Technology
Gurunath Sankad
Department of Mathematics
BLDEA’s VP Dr. PG Halakatti College of Engineering and Technology
Umesh Bhujakkanavar
Department of Science and Humanities
Rajarambapu Institute of Technology