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Trigger turbulent bands directly at low Reynolds numbers in channel flow using a moving-force technique

Published online by Cambridge University Press:  02 October 2020

Baofang Song Open the ORCID record for Baofang Song [Opens in a new window]  and
Xiangkai Xiao
Baofang Song*
Affiliation:
Center for Applied Mathematics, Tianjin University, Tianjin300072, PR China
Xiangkai Xiao
Affiliation:
Center for Applied Mathematics, Tianjin University, Tianjin300072, PR China
*
†Email address for correspondence: [email protected]
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Abstract

We show a method, for direct numerical simulations, to trigger and maintain turbulent bands directly at low Reynolds numbers in channel flow. The key is to impose a moving localised force which induces a local flow with sufficiently strong inflectional instability. With the method, we can trigger and maintain turbulent bands at Reynolds numbers down to $Re\simeq 500$. More importantly, we can generate any band patterns with desired relative position and orientation. The usual perturbation approach resorts to turbulent fields simulated at higher Reynolds numbers, random noise or localised vortical perturbation, which neither assures a successful generation of bands at low Reynolds numbers nor offers a control on the orientation of the generated bands. A precise control on the position and orientation of turbulent bands is important for the investigation of all possible types of band interaction at low Reynolds numbers and for understanding the subcritical transition in channel flow.

JFM classification

Instability: Transition to turbulence Nonlinear Dynamical Systems: Pattern formation Turbulent Flows: Intermittency
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 903 , 25 November 2020 , A43
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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