The linear problem of a vibrator performing harmonic oscillations at supercritical frequencies in a subsonic boundary layer
type: Item
instance of: scholarly article
title: The linear problem of a vibrator performing harmonic oscillations at supercritical frequencies in a subsonic boundary layer
zbMATH Open document ID: 0571.76066
DOI: 10.1016/0021-8928(84)90087-X
author: E. D. Terent'ev
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The flow of a subsonic stream over a flat plate with a triangular vibrator fixed to it is studied. The vibrator begins to oscillate in the unperturbed boundary layer. The plate and vibrator are assumed to be heat insulated, and the vibrator dimensions are such that the flow can be defined by equations of the boundary layer with selfinduced pressure. The amplitude is assumed to be small, which enables these equations to be linearized. The Fourier and Laplace transformations respectively are used for the construction with respect to the longitudinal coordinate and time. Inverse transformations are investigated only for fixed values of the longitudinal coordinate and time approaching infinity. The amplitude of the pressure oscillations, which depends on the longitudinal coordinate, is obtained.
Mathematics Subject Classification ID: 76N20
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76G25
zbMATH DE Number: 3911981
zbMATH Keywords: Fourier transformation
zbMATH Keywords: harmonic oscillation
zbMATH Keywords: Tollmien-Schlichting wave
zbMATH Keywords: subsonic stream over a flat plate
zbMATH Keywords: triangular vibrator
zbMATH Keywords: boundary layer with selfinduced pressure
zbMATH Keywords: Laplace transformations
MaRDI profile type: Publication
cites work: On the flow near the trailing edge of a flat plate II
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cites work: On unsteady boundary layer with self-induced pressure
cites work: The linear problem of vibrator in a subsonic boundary layer
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cites work: Upstream propagation of unsteady disturbances in supersonic boundary layers
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description: scientific article; zbMATH DE number 3911981