Journal
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 375, Issue 2089, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rsta.2016.0090
Keywords
self-sustaining process; asymptotic analysis; turbulent wall flows
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Funding
- National Science Foundation [CBET-1545564]
- Australian Research Council [DP150102593]
- Directorate For Engineering
- Div Of Chem, Bioeng, Env, & Transp Sys [1437851] Funding Source: National Science Foundation
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Field observations and laboratory experiments suggest that at high Reynolds numbers Re the outer region of turbulent boundary layers self-organizes into quasi-uniform momentum zones (UMZs) separated by internal shear layers termed 'vortical fissures' (VFs). Motivated by this emergent structure, a conceptual model is proposed with dynamical components that collectively have the potential to generate a self-sustaining interaction between a single VF and adjacent UMZs. A large-Re asymptotic analysis of the governing incompressible Navier-Stokes equation is performed to derive reduced equation sets for the streamwise-averaged and streamwise-fluctuating flow within the VF and UMZs. The simplified equations reveal the dominant physics within-and isolate possible coupling mechanisms among-these different regions of the flow. This article is part of the themed issue 'Toward the development of high-fidelity models of wall turbulence at large Reynolds number'.
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