On the transition mode characterizing the triggering of a vibrator in the subsonic boundary layer on a plate
type: Item
instance of: scholarly article
title: On the transition mode characterizing the triggering of a vibrator in the subsonic boundary layer on a plate
zbMATH Open document ID: 0628.76071
DOI: 10.1016/0021-8928(86)90085-7
author: O. S. Ryzhov
author: E. D. Terent'ev
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The problem of the development of two-dimensional linear perturbations in a boundary layer, generated by the triggering of a vibrator, is considered. Fourier transformations in the longitudinal coordinate and a Laplace transform in time are used to construct the solution. The inverse transforms are evaluated for large values of the characteristic time t and all values of the longitudinal coordinate x. Domains located downstream of the vibrator are studied in the first of which the perturbations will have the form of Tollmien-Schlichting waves that go over into a wave packet in the second domain. The identity in the structure of the wave packets, which are orthonormalized to the maximum amplitude for this packet for different frequencies of vibrator oscillation is noted.
Mathematics Subject Classification ID: 76G25
zbMATH DE Number: 4022904
zbMATH Keywords: two-dimensional linear perturbations
zbMATH Keywords: boundary layer
zbMATH Keywords: Fourier transformations
zbMATH Keywords: Laplace transform
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90085-7
OpenAlex ID: W2069069636
cites work: The linear problem of a vibrator performing harmonic oscillations at supercritical frequencies in a subsonic boundary layer
cites work: Q4012074
cites work: On unsteady boundary layer with self-induced pressure
cites work: Q3902708
cites work: The linear problem of vibrator in a subsonic boundary layer
cites work: Q4725966
cites work: Q3944206
cites work: Q3311868
cites work: Asymptotic behavior of solutions of the Orr-Sommerfeld equations in regions adjacent to two branches of the neutral curve
cites work: Q3230984
description: scientific article; zbMATH DE number 4022904