This article is cited in 1 paper

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

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.

UDC: 519.63

Received: 02.11.2022
Revised: 14.05.2023
Accepted: 29.05.2023

DOI: 10.31857/S0044466923090144

 English version: Computational Mathematics and Mathematical Physics, 2023, 63:10, 1731–1740

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