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Excitation of direct resonances in plane Poiseuille flow
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.
1986 (English)In: Studies in applied mathematics (Cambridge), ISSN 0022-2526, E-ISSN 1467-9590, Vol. 75, no 3, p. 227-248Article in journal (Refereed) Published
Abstract [en]

The direct resonance mechanism between vertical vorticity and vertical velocity is studied for plane Poiseuille flow. The resonance term, obtained from the initial-value problem, has been determined numerically for various initial disturbances. The amplitude, in wave-number space, is found to decay with time for all resonances. Because of its appearance in the Laplace-transform plane as a double pole, we show that a resonance term will have an initial amplitude which grows with Reynolds number, thus indicating that resonances will dominate the initial development of a disturbance at large Reynolds number.

Place, publisher, year, edition, pages
1986. Vol. 75, no 3, p. 227-248
National Category
Fluid Mechanics and Acoustics
Research subject
Fluid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-3328Local ID: 1241de30-b4f7-11db-bf94-000ea68e967bOAI: oai:DiVA.org:ltu-3328DiVA: diva2:976186
Note
Godkänd; 1986; 20070205 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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