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Quasi-one-dimensional theory of peristaltic flows

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Abstract

General properties of the quasi-one-dinensional equations describing peristaltic transport of a fluid along a tube are considered. Possibilities of obtaining analytic solutions are indicated.

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Literature cited

  1. H. J. Rath, Peristaltische Strömungen, Springer, Berlin (1980).

    Google Scholar 

  2. L. M. Srivastava, V. P. Srivastava, and S. N. Singha, “Peristaltic transport of a physiological fluid. Pt. 1,” Biorheology,20, 153 (1983).

    Google Scholar 

  3. E. E. Kireeva and S. A. Regirer, “Wave motion of a fluid in tubes made of viscoelatic material. Forced vibrations,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 94 (1984).

    Google Scholar 

  4. L. G. Loitsyanskii, The Laminar Boundary Layer [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  5. N. S. Kochin, I. A. Kibel', and N. V. Roze, Theoretical Hydrodynamics, New York (1964).

  6. S. A. Regirer, “The role of longitudinal displacements of the wall in peristaltic flows,” in: Selected Questions in Modern Mechanics, Part 1 [in Russian], Izd. MGU, Moscow (1981), pp. 165–170.

    Google Scholar 

  7. S. A. Segirer, “The motion of a viscid fluid in a tube with a wall that is deformed,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 202 (1963).

    Google Scholar 

  8. M. C. Shen, S. M. Shih, and A. M. Wu, “Asymptotic method for peristaltic transport,” Bull. Math. Biol.,42, 305 (1980).

    Google Scholar 

  9. H. J. Rath and I. Teiper, “Der Fördereffekt in ventillosen, elastischen Leitungen,” Z. Angew. Math. Phys.,29, 123 (1978).

    Google Scholar 

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Translated from Izvestiya Akadenii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 89–97, September–October, 1984.

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Regirer, S.A. Quasi-one-dimensional theory of peristaltic flows. Fluid Dyn 19, 747–754 (1984). https://doi.org/10.1007/BF01093542

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  • DOI: https://doi.org/10.1007/BF01093542

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