e-Περιοδικό Επιστήμης & Τεχνολογίας

e-Journal of Science & Technology, (e-JST)

BLOOD FLOW THROUGH A COMPOSITE STENOSIS IN CATHETERIZED ARTERIES

V. P. Srivastava, Rochana Vishnoi, Shailesh Mishra, Poonam Sinha^*

Department of Mathematics, Krishna Girls Engineering College, Kanpur-209217, India.

^*Department of Mathematics, S.M.S. Govt. Model Science College, Gwalior-474001, India.

Abstract

The Problem of blood flow through a composite stenosis during artery catheterization assuming blood to behave like a Newtonian fluid, has been investigated. The analytical expression for the blood flow characteristics, namely, the impedance, the wall shear stress in the stenotic region and the shear stress at stenosis throat has been derived. The impedance increases with the catheter as well as with the stenosis size (height and length both). The wall shear stress in the stenotic region increases in the up stream of the stenosis throat but decreases in the down stream of the throat and achieves to its approached value at a critical axial distance. The magnitude of the wall shear stress at the end point of the constriction profile is much lower than its approached value. The shear stress at the stenosis throat possesses the characteristics similar to that of the flow resistance with respect to any given parameter.

Key words: Impedance, catheter, shear stress, throat, stenotic region

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