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Zh. Vychisl. Mat. Mat. Fiz., 2019, Volume 59, Number 4, Pages 707–715 (Mi zvmmf10885)  

Influence of inertia of a compliant surface on viscous instability of an incompressible boundary layer

I. V. Savenkov

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119333 Russia

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.

Key words: incompressible boundary layer, instability, wave packets, Tollmien–Schlichting waves, compliant surface, inertia of a streamlined plate, asymptotic expansions, triple-deck theory.

Funding Agency Grant Number
Russian Foundation for Basic Research 11-01-00842_а
This work was supported by the Russian Foundation for Basic Research, project no. 11-01-00842.


DOI: https://doi.org/10.1134/S0044466919040148


English version:
Computational Mathematics and Mathematical Physics, 2019, 59:4, 667–675

Bibliographic databases:

UDC: 519.63
Received: 20.11.2017
Revised: 26.07.2018
Accepted:14.11.2018

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

Citation in format AMSBIB
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\jour Zh. Vychisl. Mat. Mat. Fiz.
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\pages 707--715
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