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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 6, Pages 49–53
(Mi pmtf1657)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/pmtf1657 https://www.mathnet.ru/eng/pmtf/v51/i6/p49
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