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Spiral vortices in a creeping flow

  • Hydrogasdynamics in technological processes
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Journal of Engineering Physics and Thermophysics Aims and scope

Using particular solutions of the Stokes equations as an example, it is shown that there exists a spiral vortex in a creeping flow. The solutions are obtained with the aid of a local theory making it possible to lower the dimensionality of the problem to unity as a result of employing a spiral coordinate and coordinate expansion in the vicinity of the singularity, with the axial coordinate "being frozen," i.e., entering into the equation as a parameter. The singularities of the type of focus and of limiting cycle are considered.

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Authors and Affiliations

  1. N. E. Zhukovskii Central Aerohydrodynamic Institute, 1 Zhukovskii Str., Zhukovskii, Moscow Region, 140181, Russia

    S. K. Betyaev

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  1. S. K. Betyaev
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Correspondence to S. K. Betyaev.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 83, No. 1, pp. 90–97, January–February, 2010.

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Betyaev, S.K. Spiral vortices in a creeping flow. J Eng Phys Thermophy 83, 101–108 (2010). https://doi.org/10.1007/s10891-010-0324-4

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  • DOI: https://doi.org/10.1007/s10891-010-0324-4

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