Finite oscillations of a cylinder in a coaxial duct subjected to annular compressible flow
type: Item
instance of: scholarly article
title: Finite oscillations of a cylinder in a coaxial duct subjected to annular compressible flow
zbMATH Open document ID: 0980.74018
DOI: 10.1023/A:1026492903092
published in: Flow, Turbulence and Combustion
publication date: 2000-03-07T00:00:00Z
review text: The author examines the finite amplitude oscillatory motion of an elastically supported rigid cylinder in cylindrical rigid duct conveying compressible fluid. The flow is assumed to be inviscid and irrotational, and the body performs free transverse vibrations. The equations of motion are nonlinear Euler equations together with continuity equation and equation of state for ideal gas. The author applies a perturbation analysis to calculate not only the dynamic characteristics of small coupled oscillations, but also the corrections due to nonlinearities of vibroacoustic problem. To make the calculations more transparent, the author discusses a simpler problem which describes a two-dimensional channel flow between rigid wall and elastically supported rigid plate.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 1389384
zbMATH Keywords: inviscid irrotational compressible flow
zbMATH Keywords: nonlinear vibroacoustic problem
zbMATH Keywords: finite amplitude oscillatory motion
zbMATH Keywords: elastically supported rigid cylinder
zbMATH Keywords: cylindrical rigid duct
zbMATH Keywords: Euler equations
zbMATH Keywords: continuity equation
zbMATH Keywords: equation of state
zbMATH Keywords: ideal gas
zbMATH Keywords: perturbation analysis
author: J. Wauer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1389384