RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2020 Volume 60, Number 7, Pages 1268–1280 (Mi zvmmf11109)

This article is cited in 3 papers

Inviscid instability of an incompressible boundary layer on a compliant surface

I. V. Savenkov

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119991 Russia

Abstract: The instability of an incompressible boundary layer on a compliant plate with respect to inviscid perturbations is analyzed on the basis of triple-deck theory. It is shown that unstable inviscid perturbations persist only if the inertia of the plate is taken into account. It is found that an important role is played by the bending stiffness of the plate. Specifically, as it approaches a certain value, the instability can become arbitrarily high, but, with a further increase in the bending stiffness, it vanishes completely as soon as the bending stiffness reaches a threshold value.

Key words: incompressible boundary layer, instability, Tollmien–Schlichting waves, compliant surface, inertia, bending stiffness, tensile stress, asymptotic expansions, triple-deck theory.

UDC: 519.63

Received: 19.05.2019
Revised: 15.12.2019
Accepted: 10.03.2020

DOI: 10.31857/S0044466920070091


 English version:
Computational Mathematics and Mathematical Physics, 2020, 60:7, 1228–1239

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026