Analytical Solutions of Unsteady Blood Flow of Jeffery Fluid Through Stenosed Arteries with PermeableWalls-Reference-Cited by-同舟云学术

Analytical Solutions of Unsteady Blood Flow of Jeffery Fluid Through Stenosed Arteries with PermeableWalls

Published:2013-09-01 Issue:8-9 Volume:68 Page:489-498
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Ellahi Rahmat¹²,Ur-Rahman Shafiq²,Nadeem Sohail³

Affiliation:

1. Department of Mechanical Engineering, University of California Riverside, USA

2. Department of Mathematics and Statistics, FBAS, IIU Islamabad, Pakistan

3. Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan

Abstract

This problem deals with the theoretical study of unsteady blood flow of a Jeffery fluid. Two types of arteries, namely (i) composite stenosed artery and (ii) anistropically tapered stenosed artery with permeable walls are considered. The highly nonlinear momentum equations of the Jeffery fluid model are simplified by considering the case of mild stenosis, and finally the exact solutions are found. The expressions for velocity, flow impedance, pressure rise, and stream function are computed and discussed through graphs for different physical quantities of interest.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.5560/zna.2013-0032/pdf

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