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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 9, Pages 1565–1574
DOI: https://doi.org/10.31857/S0044466923090144 (Mi zvmmf11623) 		 
Mathematical physics

Influence of damping of a compliant surface on inviscid instability of overlying incompressible boundary layer

I. V. Savenkov

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, 119333, Moscow, Russia
DOI: https://doi.org/10.31857/S0044466923090144
Abstract: The instability of an incompressible boundary layer on a compliant plate with respect to inviscid perturbations in the limit of high Reynolds numbers is analyzed using triple-deck theory. It is shown that unstable inviscid perturbations can exist only if the inertia and/or damping of the plate are taken into account. A twofold role of damping is revealed: it suppresses instability under certain conditions, while leading to its generation under other conditions.
Key words: incompressible boundary layer, instability, Tollmien–Schlichting waves, compliant surface, inertia, damping, bending stiffness, tensile stress, asymptotic expansions, triple-deck theory.
Received: 02.11.2022
Revised: 14.05.2023
Accepted: 29.05.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 10, Pages 1731–1740
DOI: https://doi.org/10.1134/S0965542523090130
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: I. V. Savenkov, “Influence of damping of a compliant surface on inviscid instability of overlying incompressible boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 63:9 (2023), 1565–1574; Comput. Math. Math. Phys., 63:10 (2023), 1731–1740
Citation in format AMSBIB
\Bibitem{Sav23}
\by I.~V.~Savenkov
\paper Influence of damping of a compliant surface on inviscid instability of overlying incompressible boundary layer
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 9
\pages 1565--1574
\mathnet{http://mi.mathnet.ru/zvmmf11623}
\crossref{https://doi.org/10.31857/S0044466923090144}
\elib{https://elibrary.ru/item.asp?id=54313691}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 10
\pages 1731--1740
\crossref{https://doi.org/10.1134/S0965542523090130}
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