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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 2, Pages 281–290
DOI: https://doi.org/10.7868/S004446691802014X (Mi zvmmf10682) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Absolute instability of incompressible boundary layer over a compliant plate

I. V. Savenkov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
Citations (4)
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DOI: https://doi.org/10.7868/S004446691802014X
Abstract: An incompressible boundary layer on a compliant plate is considered. The influence exerted by the tensile stress and bending stiffness of the plate on the stability of the boundary layer is investigated in the limit of high Reynolds numbers on the basis of the triple-deck theory. It is shown that upstream-propagating growing waves can be generated in a certain range of parameters characterizing the plate properties. As a result, the flow becomes absolutely unstable in the conventional sense.
Key words: incompressible boundary layer, Tollmien–Schlichting waves, asymptotic expansions, triple-deck theory, compliant surface.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00842_а
Received: 26.05.2016
Revised: 15.06.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 2, Pages 264–273
DOI: https://doi.org/10.1134/S096554251802015X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. V. Savenkov, “Absolute instability of incompressible boundary layer over a compliant plate”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018), 281–290; Comput. Math. Math. Phys., 58:2 (2018), 264–273
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    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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    References:28
     
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