Rheological properties of Reiner-Rivlin fluid model for blood flow through tapered artery with stenosis

Authors

1 DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan

2 Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad 44000, Pakistan

3 Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884 Cairo, Egypt

Abstract

In the present article, we have analyzed the Reiner-Rivlin fluid model for blood flow
through a tapered artery with a stenosis. The constitutive equations for a Reiner-Rivlin fluid have
been modeled in cylindrical coordinates. A perturbation series in dimensionless Reiner-Rivlin fluid
parameter ðk1  1Þ have been used to obtain explicit forms for the velocity, resistance impedance,
wall shear stress and shearing stress at the stenosis throat. The graphical results of different type of
tapered arteries (i.e converging tapering, diverging tapering, non-tapered artery) have been examined
for different parameters of interest.

Keywords

Journal of the Egyptian Mathematical Society
Volume 24, Issue 1
2016
Pages 138-142

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