JEFFREY FLUID MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS

被引:70
作者
Akbar, Noreen Sher [1 ]
Nadeem, S. [1 ]
Ali, Mohamed [2 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[2] King Saud Univ, Dept Mech Engn, Riyadh 11451, Saudi Arabia
关键词
Jeffrey two-constant fluid; blood flow; tapered artery; stenosis; analytical solution; NON-NEWTONIAN FLUID; PULSATILE FLOW;
D O I
10.1142/S0219519411003879
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
In this article, we have studied a non-Newtonian fluid model for blood flow through a tapered artery with a stenosis by assuming blood as Jeffrey fluid. The main purpose of our study was to follow the idea of Mekheimer and El Kot (2008), for Jeffrey fluid model, mean to study Jeffrey fluid model for blood flow through a tapered artery with a stenosis, Jeffrey fluid model is a non-Newtonian fluid model in which we consider convective derivative instead of time derivative. It is capable of describing the phenomena of relaxation and retardation time. The Jeffrey fluid has two parameters, the relaxation time lambda(1) and retardation time lambda(2)*. Perturbation method is used to solve the resulting equations. The effects of non-Newtonian nature of blood on velocity profile, wall shear stress, shearing stress at the stenosis throat, and impedance of the artery are discussed. The results for Newtonian fluid are obtained as special case from this model.
引用
收藏
页码:529 / 545
页数:17
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