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Z. Naturforsch. 67a, 628 – 632
(2012)
doi:10.5560/ZNA.2012-0069
Study of the Phan-Thien–Tanner Equation of Viscoelastic Blood Non-Newtonian Flow in a Pipe-Shaped Artery under an Emotion-Induced Pressure Gradient
1 ESSTT, University of Tunis, Tunis, Tunisia
2 Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Received May 3, 2012 / revised July 14, 2012 / published online September 12, 2012
Reprint requests to: Y. K.; E-mail:
yasirmath@yahoo.com
In this paper, a three-dimensional, unsteady state non-Newtonian fluid flow in a pipe-shaped artery of viscoelastic blood is considered in the presence of emotion-induced pressure gradient. The results have been expressed in terms of radial profiles of both axial velocity and viscosity and were presented numerically by using the shooting technique coupled with the Newtonian method and the Boubaker polynomials expansion scheme. The effects of some parameters on the dynamics are analyzed.
Key words: Boundary Conditions; Mass Transfer; Viscous Dissipation; Phan-Thien–Tanner (PTT) Equation; Viscosity.