Peristaltic Flow of Blood through Artery with a
Wave of Small Amplitude Travelling Down its Wall

A.K. Singh; D.P. Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V2I3P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 2 | Issue 3 | Year 2011 | Article Id. IJMTT-V2I3P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V2I3P501

Peristaltic Flow of Blood through Artery with a Wave of Small Amplitude Travelling Down its Wall

A.K. Singh, D.P. Singh

Abstract

In this paper, we study the flow of blood through artery when a progressive wave of area contraction and expansion travels along the arterial wall. For the sake of convince, we have used moving coordinate system ( , ) r z travelling with the wave. To get an expression for transverse and horizontal velocity component ( , ) U V we have reverted moving system to the stationary coordinate system ( , ) R Z . For every fixed z , we draw the velocity profile for U c/ and V In this paper, we study the flow of blood through artery when a progressive wave of area contraction and expansion travels along the arterial wall. For the sake of convince, we have used moving coordinate system ( , ) r z travelling with the wave. To get an expression for transverse and horizontal velocity component ( , ) U V we have reverted moving system to the stationary coordinate system ( , ) R Z . For every fixed z , we draw the velocity profile for U c/ and V c/ under zero pressure drop.

Keywords

Peristaltic flow, wave velocity, wave length, Sinusoidal wave Glossary of terms b = the radius of the original undisturbed artery  = wave length  = amplitude of the wave c =wave velocity u , v = velocity components along moving co-ordinate system ( , ) r z U ,V = velocity components along stationary co-ordinate system ( , )

References

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[3] Mishra, J.C.; Maiti, S. (2011): “ Peristaltic flow in non-uniform vessels of the micro-circulatory system”, arXiv:1108-1285
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Citation :

A.K. Singh, D.P. Singh, "Peristaltic Flow of Blood through Artery with a Wave of Small Amplitude Travelling Down its Wall," International Journal of Mathematics Trends and Technology (IJMTT), vol. 2, no. 3, pp. 1-3, 2011. Crossref, https://doi.org/10.14445/22315373/IJMTT-V2I3P501