Mathematics · Vol. 1 No. 3 (2022) · Pages 15-25

Analytical study for calculating the axial velocity for blood flow through the catheter of a stenosed artery

Published

Authors

  • Hawraa Dheyaa Asfoor
  • Esam A. Alnussairy

DOI https://doi.org/10.31185/wjps.64

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Received Dec. 24, 2022 Online Dec. 24, 2022

Abstract

The current study reviews the effect of blood flow characteristics through stenosis during angioplasty, considering that blood is a steady, Newtonian fluid with a steady and incompressible, these vessels are purified by the use of catheters. The engineering of the arterial part is a tube with overlapping stenosis in the lumen of the arteries of the patient, causing a defect in the cardiovascular system, was built Mathematically for the movement of physiological fluid representing blood in the gap between two eccentric tubes (eccentric - ring flows), where the inlet tube is a uniform solid representing the moving catheter while the other is a tapered cylindrical tube representing the artery with intervening stenosis. The problem was analyzed to find the axial velocity approximate solution.

Keywords

  • Blood flow, Stenosis, Newtonian, tube, eccentric, axial velocity
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