Effects of Axially Symmetric Stenosis on the Blood
Flow in an Artery Having Mild Stenosis

Chandrashekhar Diwakar, Sanjeev Kumar "Effects of Axially Symmetric Stenosis on the Blood
Flow in an Artery Having Mild Stenosis", *International Journal of Mathematics Trends and Technology (IJMTT). *V35(3):163-167 July 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

**Abstract**

Blood flow is responsible for nutrient and waste
transport within the closed loop i.e. cardiovascular networks.
A common problem of the cardiovascular network is the
narrowing of arteries due to the development of
atherosclerotic plagues or other types of abnormal tissue
development. As this growth project into the lumen of the
artery, the flow is distributed and develops a potential
coupling between the growth of the stenosis and the blood
flow through the artery. It is noted that very small growths
leading to mild stenotic obstructions, may be important in
triggering biological mechanism such as intimal cell
proliferation or changes in vessel caliber. An analysis of the
effect of an axially symmetric, time-dependent growth into the
lumen of a tube of constant cross section, through which a
Newtonian fluid is steadily flowing, is made through this
work. This chapter is based on a simplified model in which the
connective acceleration terms in the Nervier-Stokes equations
are neglected. Finally the governing equations are then solved
numerically and obtain the expression for pressure gradient
and impedance ratio with respect to stenosis height.

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**Keywords**

Stenosis height, pressure gradient, impedance
ratio.