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The whirlwind and a singular limiting solution of the navier-stokes equations

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Abstract

The author examines a singular solution of the system of equations for the steady axisymmetric self-similar motions of a viscous incompressible fluid at large Reynolds numbers. This solution qualitatively describes the behavior of a whirlwind and other similar natural phenomena where the swirling of the flow and the viscosity are the most characteristic properties. It is shown that the solution not only gives a good description of the observed properties of whirlwinds but also makes it possible to explain the mechanism of kinetic energy concentration in this threatening natural phenomenon.

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Literature cited

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Authors and Affiliations

  1. Moscow

    Yu. L. Yakimov

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  1. Yu. L. Yakimov
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 23–33, November–December, 1988.

The author is grateful to N. N. Lukerchenko for carrying out the numerical calculations and to A. K. Kazennov for helping to set up the model demonstration.

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Yakimov, Y.L. The whirlwind and a singular limiting solution of the navier-stokes equations. Fluid Dyn 23, 819–828 (1988). https://doi.org/10.1007/BF01051814

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  • DOI: https://doi.org/10.1007/BF01051814

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