Title

Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube

Authors

Authors

K. Vajravelu; S. Sreenadh; P. Devaki;K. V. Prasad

Comments

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Abbreviated Journal Title

Cent. Eur. J. Phys.

Keywords

Herschel-Bulkley fluid; non-Newtonian fluid; blood flow; elastic tube; fluid flux; BLOOD-FLOW; ARTERIES; Physics, Multidisciplinary

Abstract

The constitution of blood demands a yield stress fluid model, and among the available yield stress fluid models for blood flow, the Herschel-Bulkley model is preferred (because Bingham, Power-law and Newtonian models are its special cases). The Herschel-Bulkley fluid model has two parameters, namely the yield stress and the power law index. The expressions for velocity, plug flow velocity, wall shear stress, and the flux flow rate are derived. The flux is determined as a function of inlet, outlet and external pressures, yield stress, and the elastic property of the tube. Further when the power-law index n = 1 and the yield stress tau (0) -> 0, our results agree well with those of Rubinow and Keller [J. Theor. Biol. 35, 299 (1972)]. Furthermore, it is observed that, the yield stress and the elastic parameters (t (1) and t (2)) have strong effects on the flux of the non-Newtonian fluid flow in the elastic tube. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid flow phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.

Journal Title

Central European Journal of Physics

Volume

9

Issue/Number

5

Publication Date

1-1-2011

Document Type

Article

Language

English

First Page

1357

Last Page

1365

WOS Identifier

WOS:000294907100028

ISSN

1895-1082

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