Abstract:
An incompressible boundary layer on a compliant plate is considered. The influence exerted by the inertia of the plate on the stability of the boundary layer is studied in the limit of high Reynolds numbers on the basis of triple-deck theory. The flow is found to have two additional oscillation eigenmodes, one of which is always unstable, but grows more slowly than classical modes corresponding to Tollmien–Schlichting waves. It is shown that, with decreasing inertia of the plate, the perturbations first split into two wave packets, which later merge in a single one that grows progressively more quickly.
Citation:
I. V. Savenkov, “Influence of inertia of a compliant surface on viscous instability of an incompressible boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019), 707–715; Comput. Math. Math. Phys., 59:4 (2019), 667–675
\Bibitem{Sav19}
\by I.~V.~Savenkov
\paper Influence of inertia of a compliant surface on viscous instability of an incompressible boundary layer
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 4
\pages 707--715
\mathnet{http://mi.mathnet.ru/zvmmf10885}
\crossref{https://doi.org/10.1134/S0044466919040148}
\elib{https://elibrary.ru/item.asp?id=37207510}
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 4
\pages 667--675
\crossref{https://doi.org/10.1134/S0965542519040146}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85067396068}
Linking options:
https://www.mathnet.ru/eng/zvmmf10885
https://www.mathnet.ru/eng/zvmmf/v59/i4/p707
This publication is cited in the following 3 articles:
I. V. Savenkov, “Influence of damping of a compliant surface on inviscid instability of overlying incompressible boundary layer”, Comput. Math. Math. Phys., 63:10 (2023), 1731–1740
Shuai Tang, Shaogang Liu, Dan Zhao, Liqiang Dong, Lu Chen, Jin Cui, “The spatial stability and transition of boundary layer flow over the skin made of micro floating raft arrays”, Meccanica, 58:12 (2023), 2291
I. V. Savenkov, “Inviscid instability of an incompressible boundary layer on a compliant surface”, Comput. Math. Math. Phys., 60:7 (2020), 1228–1239
Citation in format AMSBIB
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