dorsal/arxiv
View SchemaThe signature of laminar instabilities in the zone of transition to turbulence
| Authors | N. Vinod, Rama Govindarajan |
|---|---|
| Categories | |
| ArXiv ID | physics/0504222 |
| URL | https://arxiv.org/abs/physics/0504222 |
| DOI | 10.1080/14685240600851732 |
| Journal | Journal of Turbulence, 8, 1-17, 2007 |
Abstract
We demonstrate that the space-time statistics of the birth of turbulent spots in boundary layers can be reconstructed qualitatively from the average behavior of macroscopic measures in the transition zone. The conclusion in \cite{vg04} that there exists a connection between the patterns in laminar instability and the birth of turbulent spots is strengthened. We examine why the relationship between instability and transition to turbulence is manifest in some cases and appears to be totally absent in others. Novel cellular automaton type simulations of the transition zone are conducted, and the pattern of spot birth is obtained from secondary instability analysis. The validity of the hypothesis of concentrated breakdown, according to which most turbulent spots originate at a particular streamwise location, is assessed. The predictions made lend themselves to straightforward experimental verification.
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"abstract": "We demonstrate that the space-time statistics of the birth of turbulent spots\nin boundary layers can be reconstructed qualitatively from the average behavior\nof macroscopic measures in the transition zone. The conclusion in \\cite{vg04}\nthat there exists a connection between the patterns in laminar instability and\nthe birth of turbulent spots is strengthened. We examine why the relationship\nbetween instability and transition to turbulence is manifest in some cases and\nappears to be totally absent in others. Novel cellular automaton type\nsimulations of the transition zone are conducted, and the pattern of spot birth\nis obtained from secondary instability analysis. The validity of the hypothesis\nof concentrated breakdown, according to which most turbulent spots originate at\na particular streamwise location, is assessed. The predictions made lend\nthemselves to straightforward experimental verification.",
"arxiv_id": "physics/0504222",
"authors": [
"N. Vinod",
"Rama Govindarajan"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1080/14685240600851732",
"journal_ref": "Journal of Turbulence, 8, 1-17, 2007",
"title": "The signature of laminar instabilities in the zone of transition to turbulence",
"url": "https://arxiv.org/abs/physics/0504222"
},
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