Journal article
A self-sustaining process theory for uniform momentum zones and internal shear layers in high Reynolds number shear flows
B Montemuro, CM White, JC Klewicki, GP Chini
Journal of Fluid Mechanics | CAMBRIDGE UNIV PRESS | Published : 2020
DOI: 10.1017/jfm.2020.517
Abstract
Many exact coherent states (ECS) arising in wall-bounded shear flows have an asymptotic structure at extreme Reynolds number in which the effective Reynolds number governing the streak and roll dynamics is. Consequently, these viscous ECS are not suitable candidates for quasi-coherent structures away from the wall that necessarily are inviscid in the mean. Specifically, viscous ECS cannot account for the singular nature of the inertial domain, where the flow self-organizes into uniform momentum zones (UMZs) separated by internal shear layers and the instantaneous streamwise velocity develops a staircase-like profile. In this investigation, a large- asymptotic analysis is performed to explore..
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Awarded by Australian Research Council
Funding Acknowledgements
The authors are pleased to acknowledge Dr A. Ebadi for collecting and plotting the data shown in figure 1(b,c) and Professor J. Gibson for generating figure 4(b). The authors are also grateful for financial support from the National Science Foundation through grant no. NSF CBET-1437851, the Office of Naval Research through grant no. N000141712307 and the Australian Research Council through grant no. DP150102593. Finally, G.P.C. would like to acknowledge the KITP Program on Planetary Boundary Layers, supported in part by the National Science Foundation under grant no. NSF PHY-1748958, and the Woods Hole Summer Program in Geophysical Fluid Dynamics, where parts of this work were completed in 2018.