International Journal of Mathematics Trends and Technology
Volume 35 | Number 3 | Year 2016 | Article Id. IJMTT-V35P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P522
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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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), vol. 35, no. 3, pp. 163-167, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P522
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