Resonance phenomena in a channel with oscillating walls

In the article we consider the flow of viscous compressible fluid in a channel with oscillating walls. The obtained solutions of linearized Navier–Stokes equations suggest that resonance phenomena are possible under certain conditions, namely, under the particular relation between the frequency of w...

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Bibliographic Details
Published inEuropean journal of mechanics, B, Fluids Vol. 83; pp. 205 - 211
Main Authors Logvinov, Oleg A., Malashin, Aleksey A.
Format Journal Article
LanguageEnglish
Published Elsevier Masson SAS 01.09.2020
Subjects
Compressibility
Navier–Stokes equations
Oscillating boundaries
Resonance
Navier–Stokes equations
Resonance
Compressibility
Oscillating boundaries
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Summary:In the article we consider the flow of viscous compressible fluid in a channel with oscillating walls. The obtained solutions of linearized Navier–Stokes equations suggest that resonance phenomena are possible under certain conditions, namely, under the particular relation between the frequency of wall vibration, the geometrical characteristics of a channel and speed of sound in the fluid. Resonance phenomena result in the periodical changes of flow parameters with maximum amplitude. The numerical simulations based on full Navier–Stokes equations show that great increase in the mass rate of the flow can occur even if fluid is pumped at constant pressure gradient.
ISSN:0997-7546
1873-7390
DOI:10.1016/j.euromechflu.2020.05.003