Influence of Damping of a Compliant Surface on Inviscid Instability of Overlying Incompressible Boundary Layer

I. V. Savenkov; Савенков И. В.

doi:10.31857/S0044466923090144

Influence of Damping of a Compliant Surface on Inviscid Instability of Overlying Incompressible Boundary Layer

Authors: Savenkov I.V.¹
Affiliations:
1. Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
Issue: Vol 63, No 9 (2023)
Pages: 1565-1574
Section: Mathematical physics
URL: https://rjmseer.com/0044-4669/article/view/664988
DOI: https://doi.org/10.31857/S0044466923090144
EDN: https://elibrary.ru/SGZLHK
ID: 664988

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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.

Keywords

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

About the authors

I. V. Savenkov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences

Author for correspondence.
Email: isavenkov@mail.ru
119333, Moscow, Russia

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