Peristaltic flow in non-uniform vessels of the micro-circulatory system

Details Peristaltic flow in non-uniform vessels of the micro-circulatory system Peristaltic flow in non-uniform vessels of the micro-circulatory system

2011-08-05

arxiv.org/abs/1108.1285v1

Physics

Fluid Dynamics

arXiv admin note: text overlap with arXiv:1006.0176

Scientific paper

Of concern in the paper is generalized a theoretical study concerning the peristaltic flow of blood in the micro-circulatory system. The vessel is considered to be of non-uniform cross-section and blood to be a non-Newtonian fluid. The progressive wave front of the peristaltic flow is supposed sinusoidal/straight section dominated (SSD) (expansion/contraction type); Reynolds number is considered to be small with reference to the flow of physiological fluids. The non-Newtonian behaviour of blood is illustrated by considering the Herschel-Bulkley fluid model. The objective of the study has been to examine the effect of the effects of amplitude ratio, mean pressure gradient, yield stress and the power law index on the velocity distribution, wall shear stress, streamline pattern and trapping. Considerable quantitative differences between the results obtained for transport in two dimensional channel and an axisymmetric circular tube are noticed. The study shows that peristaltic pumping, flow velocity and wall shear stress are significantly affected by the non-uniform geometry of blood vessels. Moreover, the magnitude of the amplitude ratio and the value of the fluid index are important parameters that affect the flow behaviour. The novel feature due to SSD wave on said flow behaviour has also been discussed.

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