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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 2, Pages 281–290 (Mi zvmmf10682)

This article is cited in 5 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

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.

UDC: 519.634

Received: 26.05.2016
Revised: 15.06.2017

DOI: 10.7868/S004446691802014X


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:2, 264–273

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