Z. Naturforsch. 68a, 489 – 498 (2013)
Analytical Solutions of Unsteady Blood Flow of Jeffery Fluid Through Stenosed Arteries with Permeable Walls
Rahmat Ellahi1,2, Shafiq-Ur-Rahman2, and Sohail Nadeem3
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
Received November 12, 2012 / revised February 27, 2013 / published online May 22, 2013
Reprint requests to: R. E.; E-mail: rellahi@engr.ucr.edu
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.
Key words: Unsteady Flow; Jeffery Fluid; Blood Flow; Permeable Walls; Stenosed Arteries; Exact Solutions.
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