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

被引:31
|
作者
Ellahi, Rahmat [1 ,2 ]
Shafiq-Ur-Rahman [2 ]
Nadeem, Sohail [3 ]
机构
[1] Univ Calif Riverside, Dept Mech Engn, Riverside, CA 92521 USA
[2] FBAS, Dept Math & Stat, Iiu Islamabad, Pakistan
[3] Quaid I Azam Univ Islamabad, Dept Math, Islamabad, Pakistan
关键词
Unsteady Flow; Jeffery Fluid; Blood Flow; Permeable Walls; Stenosed Arteries; Exact Solutions; TAPERED ARTERY; MODEL;
D O I
10.5560/ZNA.2013-0032
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
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.
引用
收藏
页码:489 / 498
页数:10
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