Streamwise-localized solutions at the onset of turbulence in pipe flow

Although the equations governing fluid flow are well known, there are no analytical expressions that describe the complexity of turbulent motion. A recent proposition is that in analogy to low dimensional chaotic systems, turbulence is organized around unstable solutions of the governing equations w...

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Bibliographic Details
Published in:Physical review letters Vol. 110; no. 22; p. 224502
Main Authors: Avila, M, Mellibovsky, F, Roland, N, Hof, B
Format: Journal Article Publication
Language:English
Published: United States 29-05-2013
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Summary:Although the equations governing fluid flow are well known, there are no analytical expressions that describe the complexity of turbulent motion. A recent proposition is that in analogy to low dimensional chaotic systems, turbulence is organized around unstable solutions of the governing equations which provide the building blocks of the disordered dynamics. We report the discovery of periodic solutions which just like intermittent turbulence are spatially localized and show that turbulent transients arise from one such solution branch.
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content type line 23
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.110.224502