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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2025 Volume 65, Number 8, Pages 1423–1435 (Mi zvmmf12036)

Molecular Biophysics

Non-viscous instability of a boundary layer over the compliant surface at supersonic speeds of the incoming flow

I. V. Savenkov

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow

Abstract: Within the framework of the asymptotic theory of free interaction, the instability of the boundary layer over the compliant plate at supersonic speeds of the incoming flow with respect to non-viscous disturbances is studied. Unstable non-viscous disturbances are shown to exist only when the inertance of the plate is taken into account, and the damping of the plate plays a significant stabilizing role. Increasing the elasticity, bending stiffness, and longitudinal tension of the plate also stabilizes the flow.

Key words: boundary layer, instability, Tollmien–Schlichting waves, supersonic flow, compliant surface, inertance, damping, bending stiffness, longitudinal tension, asymptotic expansions, theory of free interaction.

UDC: 519.63

Received: 07.11.2024
Accepted: 22.05.2025

DOI: 10.31857/S0044466925080095


 English version:
Computational Mathematics and Mathematical Physics, 2025, 65:8, 1924–1936

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© Steklov Math. Inst. of RAS, 2026