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Stability of self-similar pipe flow with suction

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Abstract

The stability of self-similar flows with various boundary conditions at the wall is investigated. In the region of nonexistence of self-similar solutions an oscillatory regime is detected. The problem of stability with respect to disturbances of general form is studied. The dependence of the critical values of the axial Reynolds number and the Strouhal number on Re is calculated for various suction rates.

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Literature cited

  1. M. A. Gol'dshtik and N. M. Ersh, “Stability of pipe flow with blowing,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 63 (1989).

    Google Scholar 

  2. M. A. Gol'dshtik, Vortex Flows [in Russian], Nauka, Novosibirsk (1981).

    Google Scholar 

  3. R. M. Terrill and P. W. Thomas, “On laminar flow through a uniformly porous pipe,” Appl. Sci. Res.,21, 37 (1969).

    Google Scholar 

  4. G. N. Taylor, “Fluid flow in regions bounded by porous surfaces,” Proc. R. Soc. London, Ser. A:234, 456 (1956).

    Google Scholar 

  5. M. A. Gol'dshtik, “Variational model of a turbulent rotating flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 22 (1985).

    Google Scholar 

  6. V. I. Arnol'd, Further Chapters in the Theory of Ordinary Differential Equations,” [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  7. M. A. Gol'dshtik, V. N. Shtern, and N. I. Yavorskii, Viscous Flows with Paradoxical Properties [in Russian], Nauka, Novosibirsk (1989).

    Google Scholar 

  8. Quale and Levy, “Laminar pipe flow with leakage through a porous wall,” Transactions of the American Society of Mechanical Engineers. Journal of Heat Transfer,97, No. 1 (1975).

  9. V. N. Varapaev and V. I. Yagodkin, “Flow stability in a channel with permeable walls,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 91 (1969).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Heat Physics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk

    M. A. Gol'dshtik & N. M. Ersh

Authors
  1. M. A. Gol'dshtik
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  2. N. M. Ersh
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 18–25, September–October, 1991.

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Gol'dshtik, M.A., Ersh, N.M. Stability of self-similar pipe flow with suction. Fluid Dyn 26, 651–657 (1991). https://doi.org/10.1007/BF01050983

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  • DOI: https://doi.org/10.1007/BF01050983

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