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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 6, Pages 49–53 (Mi pmtf1657)  

This article is cited in 2 scientific papers (total in 2 papers)

Localized helically symmetric flows of an ideal fluid

S. N. Aristov, D. V. Knyazev

Institute of Continuous Media Mechanics UB RAS, Perm
Full-text PDF (175 kB) Citations (2)
Abstract: Steady-state solutions of the equations of motion of an ideal incompressible fluid are obtained that describe regular and spatially localized helically symmetric vortex formations. It is shown that, depending on the ratio between the parameters determining the angular momentum and energy flux, the obtained three-dimensional solution may not exist or it may be represented as a linear superposition of a finite number of modes. Description of a wide class of helically symmetric two-dimensional flows is reduced to a quadrature.
Keywords: helically symmetric flows, exact solutions.
Received: 21.09.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 6, Pages 815–818
DOI: https://doi.org/10.1007/s10808-010-0102-2
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: S. N. Aristov, D. V. Knyazev, “Localized helically symmetric flows of an ideal fluid”, Prikl. Mekh. Tekh. Fiz., 51:6 (2010), 49–53; J. Appl. Mech. Tech. Phys., 51:6 (2010), 815–818
Citation in format AMSBIB
\Bibitem{AriKny10}
\by S.~N.~Aristov, D.~V.~Knyazev
\paper Localized helically symmetric flows of an ideal fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 6
\pages 49--53
\mathnet{http://mi.mathnet.ru/pmtf1657}
\elib{https://elibrary.ru/item.asp?id=15281649}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 6
\pages 815--818
\crossref{https://doi.org/10.1007/s10808-010-0102-2}
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  • https://www.mathnet.ru/eng/pmtf/v51/i6/p49
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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