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Perturbation analysis for pulsatile flow of Carreau fluid through tapered stenotic arteries

D. S. Sankar

Engineering Mathematics Unit, Faculty of Engineering, Universiti Teknologi Brunei, Gadong BE1410, Brunei Darussalam

E-mail Address: duraisamy.sankar@itb.edu.bn

https://doi.org/10.1142/S1793524516500637Cited by:7 (Source: Crossref)

Abstract

The pulsatile flow of blood in a tapered narrow artery with overlapping time-dependent stenosis is mathematically analyzed, modeling blood as Carreau fluid. Perturbation method is employed for solving the resulting nonlinear system of equations along with the appropriate boundary conditions. The analytic solutions to the pressure gradient, velocity distribution, flow rate, wall shear stress and longitudinal impedance to flow are obtained in the asymptotic form. The variation of the aforesaid flow quantities with respect to various physical parameters such as maximum depth of the stenosis, angle of tapering of the artery, power law index, Reynolds number, pulsatile amplitude of the flow and Weissenberg number is investigated. It is found that the wall shear stress and longitudinal impedance to flow increase with the increase of the angle of tapering of the artery, the maximum depth of the stenosis and pulsatile Reynolds number and these decrease with the increase of the amplitude of the flow, power law index and Weissenberg number. The mean velocity of blood decreases significantly with the increase of the artery radius, maximum depth of the stenosis, angle of tapering of the artery.

Keywords:

AMSC: 35Q92, 58J37, 76Zxx, 92Bxx, 92C10, 78A70

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