Helical Vortex Lines in Axisymmetric Viscous Incompressible Fluid Flows
- Authors: Sizykh G.B.1
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Affiliations:
- Moscow Institute of Physics and Technology
- Issue: Vol 54, No 8 (2019)
- Pages: 1038-1042
- Section: Article
- URL: https://journals.rcsi.science/0015-4628/article/view/156105
- DOI: https://doi.org/10.1134/S0015462818060083
- ID: 156105
Cite item
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.
About the authors
G. B. Sizykh
Moscow Institute of Physics and Technology
Author for correspondence.
Email: o1o2o3@yandex.ru
Russian Federation, Moscow
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