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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 10, Pages 1646–1655
DOI: https://doi.org/10.31857/S0044466921100057 (Mi zvmmf11303) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical physics

Nonlocal conservation law in a free submerged jet

A. M. Gaifullin, V. V. Zhvick

Central Aerohydrodynamic Institute, 140180, Zhukovskii, Moscow oblast, Russia
Citations (4)
DOI: https://doi.org/10.31857/S0044466921100057
Abstract: A free axisymmetric nonswirling submerged jet of viscous incompressible fluid is considered. For large Reynolds numbers, the unknown constant in the asymptotic Landau–Rumer–Gol'dshtik–Yavorsky solution to the Navier–Stokes equations that describes the far jet field is determined. A similar constant in Loitsyanskii’s solution in the boundary layer approximation is found. These constants are expressed in terms of the distribution of velocity in the jet source using a nonlocal conservation law.
Key words: conservation law, submerged jet, asymptotics, invariant.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00163
This work was supported by the Russian Foundation for Basic Research (project no. 19-01-00163).
Received: 12.02.2021
Revised: 12.02.2021
Accepted: 09.06.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 10, Pages 1630–1639
DOI: https://doi.org/10.1134/S0965542521100043
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: A. M. Gaifullin, V. V. Zhvick, “Nonlocal conservation law in a free submerged jet”, Zh. Vychisl. Mat. Mat. Fiz., 61:10 (2021), 1646–1655; Comput. Math. Math. Phys., 61:10 (2021), 1630–1639
Citation in format AMSBIB
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\paper Nonlocal conservation law in a free submerged jet
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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