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Size-dependent transient nature of localized turbulence in transitional channel flow

Published online by Cambridge University Press:  26 October 2022

Duo Xu Open the ORCID record for Duo Xu [Opens in a new window]  and
Baofang Song Open the ORCID record for Baofang Song [Opens in a new window]
Duo Xu
Affiliation:
The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, PR China
Baofang Song*
Affiliation:
Centre for Applied Mathematics, Tianjin University, Tianjin 300072, PR China
*
†Email address for correspondence: [email protected]
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Abstract

It has been reported that a fully localized turbulent band in channel flow becomes sustained when the Reynolds number is above a threshold. Here we show evidence that turbulent bands are of a transient nature instead. When the band length is controlled to be fixed, the lifetime of turbulent bands appears to be stochastic and exponentially distributed, a sign of a memoryless transient nature. Besides increasing with the Reynolds number, the mean lifetime also strongly increases with the band length. Given that the band length always changes over time in real channel flow, this size dependence may translate into a time dependence, which needs to be taken into account when clarifying the relationship between channel flow transition and the directed percolation universality class.

JFM classification

Instability: Transition to turbulence Turbulent Flows: Intermittency Instability: Shear-flow instability
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 950 , 10 November 2022 , R3
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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