Universal Model of Finite-Reynolds Number Turbulent Flow in Channels and Pipes

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dc.creatorL'vov, Victor S.
dc.creatorProcaccia, Itamar
dc.creatorRudenko, Oleksii
dc.date2007-05-31
dc.date2007-12-07
dc.date.accessioned2026-07-07T12:42:22Z
dc.date.available2026-07-07T12:42:22Z
dc.descriptionIn this Letter we suggest a simple and physically transparent analytical model of the pressure driven turbulent wall-bounded flows at high but finite Reynolds numbers Re. The model gives accurate qualitative description of the profiles of the mean-velocity and Reynolds-stresses (second order correlations of velocity fluctuations) throughout the entire channel or pipe in the wide range of Re, using only three Re-independent parameters. The model sheds light on the long-standing controversy between supporters of the century-old log-law theory of von-Kàrmàn and Prandtl and proposers of a newer theory promoting power laws to describe the intermediate region of the mean velocity profile.
dc.description4 pages, 6 figs, re-submitted PRL according to referees comments
dc.identifierhttps://arxiv.org/abs/0705.4592
dc.identifierhttp://arxiv.org/abs/0705.4592
dc.identifierPhysical Review Letters 100, 054504 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.054504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220053
dc.subjectChaotic Dynamics
dc.subjectFluid Dynamics
dc.titleUniversal Model of Finite-Reynolds Number Turbulent Flow in Channels and Pipes
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