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Helical Vortex Lines in Axisymmetric Viscous Incompressible Fluid Flows

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Abstract

This paper considers the steady and unsteady swirling axisymmetric flows of a homogeneous viscous incompressible fluid. The possibility of the existence of helical vortex lines on the surface of revolution homeomorphic to a torus is investigated. An example of unsteady flow in which there are helical vortex lines is given. It is proved that the existence of helical vortex lines lying on the surface of revolution homeomorphic to a torus is impossible in a steady axisymmetric flow of a viscous incompressible fluid.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Moscow, Russia

    G. B. Sizykh

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  1. G. B. Sizykh
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Correspondence to G. B. Sizykh.

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Russian Text © The Author(s), 2019, published in Prikladnaya Matematika i Mekhanika, 2019, Vol. 83, No. 3, pp. 370–376.

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Sizykh, G.B. Helical Vortex Lines in Axisymmetric Viscous Incompressible Fluid Flows. Fluid Dyn 54, 1038–1042 (2019). https://doi.org/10.1134/S0015462818060083

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  • DOI: https://doi.org/10.1134/S0015462818060083

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