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Three-dimensional viscous jet flow with plane free boundaries

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Abstract

The problem of steady three-dimensional viscous flow with plane free boundaries, induced by a linear source or sink, is solved. The nonuniqueness of the solution in the case of a source and its vanishing in the case of a sink, as the Reynolds number reaches a certain critical value, is proved. The problem is investigated within the framework of the known class of the exact solutions of Navier–Stokes equations generalized in this study.

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Authors and Affiliations

  1. Institute of Continuous Media Mechanics, Ural Branch of Russian Academy of Sciences, ul. Akad. Koroleva 1, Perm, 614013, Russia

    S. N. Aristov & D. V. Knyazev

Authors
  1. S. N. Aristov
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  2. D. V. Knyazev
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Corresponding author

Correspondence to D. V. Knyazev.

Additional information

Original Russian Text © S.N. Aristov, D.V. Knyazev, 2017, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2017, No. 2, pp. 50–53.

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Aristov, S.N., Knyazev, D.V. Three-dimensional viscous jet flow with plane free boundaries. Fluid Dyn 52, 215–218 (2017). https://doi.org/10.1134/S0015462817020053

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  • DOI: https://doi.org/10.1134/S0015462817020053

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