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Stability of axisymmetric swirl flows of viscous incompressible fluid

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Thermophysics and Aeromechanics Aims and scope

Abstract

A new method of solution to the problem of stability of the swirl flow of viscous incompressible fluid is developed. The method based on expansion of the required function into power series of radial coordinate allows an avoidance of difficulties related to numerical integration of the system of differential equations with a singular point. Stability of the Poiseuille flow in a rotating pipe is considered as an example.

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Authors and Affiliations

  1. Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia

    S. P. Aktershev & P. A. Kuibin

Authors
  1. S. P. Aktershev
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  2. P. A. Kuibin
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Corresponding author

Correspondence to S. P. Aktershev.

Additional information

The work was partially supported by the RFBR (Grant 10-08-01096-a) and RF Ministry of Education and Science in the framework of the Federal Target Program “Research and development on priority directions of scientifictechnological complex of Russia for 2007-2013” (State Contract No. 11.519.11.6022).

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Aktershev, S.P., Kuibin, P.A. Stability of axisymmetric swirl flows of viscous incompressible fluid. Thermophys. Aeromech. 20, 317–326 (2013). https://doi.org/10.1134/S0869864313030074

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  • DOI: https://doi.org/10.1134/S0869864313030074

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