Dynamics on the Laminar-Turbulent Boundary and the Origin of the Maximum Drag Reduction Asymptote
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Xi-2012-Dynamics on the Laminar-Turbulent.pdf
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Author(s) •
Graham, Michael D.
Xi, Li
Date Issued
January 2012
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Xi, Li, and Michael Graham. “Dynamics on the Laminar-Turbulent Boundary and the Origin of the Maximum Drag Reduction Asymptote.” Physical Review Letters 108.2 (2012): Web. 11 May 2012. © 2012 Institute of Electrical and Electronics Engineers
Version
Final published version
Abstract
Dynamical trajectories on the boundary in state space between laminar and turbulent plane channel flow—edge states—are computed for Newtonian and viscoelastic fluids. Viscoelasticity has a negligible effect on the properties of these solutions, and, at least at a low Reynolds number, their mean velocity profiles correspond closely to experimental observations for polymer solutions in the maximum drag reduction regime. These results confirm the existence of weak turbulence states that cannot be suppressed by polymer additives, explaining the fact that there is an upper limit for polymer-induced drag reduction.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.108.028301