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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 3, Pages 530–537 (Mi zvmmf322)  
This article is cited in 2 scientific papers (total in 2 papers)

Three-dimensional Tollmien–Schlichting waves generated by sound in the boundary layer on an elastic surface at transonic free-stream velocities

I. V. Savenkov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (1043 kB) Citations (2)
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Abstract: Within the framework of the triple-deck theory, the effect of surface elasticity on three-dimensional packets of Tollmien-Schlichting waves generated by acoustic disturbances induced near the boundary layer at transonic free-stream velocities is investigated. It is shown that the elasticity of the surface considerably weakens the most unstable oblique waves but does not change the characteristic horseshoe shape of wave packets with two disturbance peaks propagating at an angle to the incoming flow.
Key words: acoustic disturbances, three-dimensional Tollmien–Schlichting waves, wave packets, transonic fluid dynamics, surface elasticity.
Received: 29.09.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 3, Pages 510–517
DOI: https://doi.org/10.1134/S096554250703013X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. V. Savenkov, “Three-dimensional Tollmien–Schlichting waves generated by sound in the boundary layer on an elastic surface at transonic free-stream velocities”, Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007), 530–537; Comput. Math. Math. Phys., 47:3 (2007), 510–517
Citation in format AMSBIB
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\by I.~V.~Savenkov
\paper Three-dimensional Tollmien--Schlichting waves generated by sound in the boundary layer on an elastic surface at transonic free-stream velocities
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 3
\pages 530--537
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2348299}
\zmath{https://zbmath.org/?q=an:05200998}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 3
\pages 510--517
\crossref{https://doi.org/10.1134/S096554250703013X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247129237}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf322
  • https://www.mathnet.ru/eng/zvmmf/v47/i3/p530
    • This publication is cited in the following 2 articles:
    1. I. V. Savenkov, “Three-dimensional instability of flow in a flat channel between elastic plates”, Comput. Math. Math. Phys., 52:10 (2012), 1445–1451  mathnet  crossref  mathscinet  zmath
    2. I. V. Savenkov, “Instability of the two-dimensional Poiseuille flow between elastic plates”, Comput. Math. Math. Phys., 51:12 (2011), 2155–2161  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :139
    References:52
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