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Pressure-controlled peristaltic flow

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Abstract

The fluid flow in a two-dimensional channel with the wall oscillation law unknown in advance but for the given wall pressure change law is investigated. The law for the channel wall coordinates is determined during solving the problem. If on the wall the pressure oscillation amplitudes a are small, traveling waves propagate over it and give rise to peristaltic fluid transport in the channel. For large a the channel is divided up into two parts: a relatively small pulsing end part creates the flow, while the rest greater part loses this function.

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References

  1. A.H. Shapiro, M.Y. Jaffrin, and S.L. Weinberg, “Peristaltic Pumping with Long Wavelength at Low Reynolds Number,” J. Fluid Mech. 37(Pt 4), 799–825 (1969).

    Article  ADS  Google Scholar 

  2. M.Y. Jaffrin, “Inertia and Streamline Curvature Effects on Peristaltic Pumping,” Int. J. Eng. Sci. 11(6), 681–699 (1971).

    Article  Google Scholar 

  3. S.L. Weinberg, E.C. Eckstein, and A.H. Shapiro, “An Experimental Study of Peristaltic Pumping,” J. Fluid Mech. 49 (Pt 3), 461–479 (1971).

    Google Scholar 

  4. S. Takabatake and K. Ayukawa, “Numerical Study of Two-Dimensional Peristaltic Flows,” J. Fluid Mech. 122, 439–465 (1982).

    Article  ADS  MATH  Google Scholar 

  5. T.K. Mittra and S.N. Prasad, “On the Influence of Wall Properties and Poiseuille Flow in Peristalsis,” J. Biomech. 6 (6), 681–693 (1973).

    Google Scholar 

  6. P. Muthu, K. Rathish, and P. Chandra, “On the Influence of Wall Properties in the Peristaltic Motion of Micropolar Fluid in a Non-Uniform Channel,” ANZIAM J. 45, 245–260 (2003).

    Article  MathSciNet  MATH  Google Scholar 

  7. G.C. Sankad and G. Radhakrishnamacharya, “The Effects of Wall Properties on Peristaltic Transport of Micropolar Fluid in a Non-Uniform Channel,” Int. J. Appl. Math. and Mech. 6, 94–107 (2010).

    Google Scholar 

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Authors and Affiliations

  1. Perm State University, Perm, Russia

    D. V. Lyubimov & S. V. Mingalev

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  1. D. V. Lyubimov
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  2. S. V. Mingalev
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Original Russian Text © D.V. Lyubimov, S.V. Mingalev, 2012, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2012, Vol. 47, No. 5, pp. 52–58.

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Lyubimov, D.V., Mingalev, S.V. Pressure-controlled peristaltic flow. Fluid Dyn 47, 601–607 (2012). https://doi.org/10.1134/S0015462812050079

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  • DOI: https://doi.org/10.1134/S0015462812050079

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