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Emerging Trends in Computational Biology, Bioinformatics, and Systems Biology by Quoc Nam Tran, Hamid R Arabnia

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Chapter 3

Biological Study on Pulsatile Flow of Herschel-Bulkley Fluid in Tapered Blood Vessels

R. Ponalagusamy    Department of Mathematics, National Institute of Technology, Tiruchirappalli, Tamilnadu, India

Abstract

This chapter investigates the effect of pulsatility on flow through a tapered artery. Blood has been represented by a non-Newtonian fluid obeying the Herschel-Bulkley equation. Using the Reynolds number as the perturbation parameter, a perturbation technique is adopted to solve the resulting quasi-steady, nonlinear, coupled, implicit system of differential equations. It is observed that the wall shear stress and flow resistance increase with increasing values of the taper angle and the axial distance. The present approach generally ...

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