Velocity and Energy Profiles In Two- vs. Three-Dimensional Channels: Effects of Inverse vs. Direct Energy Cascade

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dc.creatorL'vov, Victor S.
dc.creatorProcaccia, Itamar
dc.creatorRudenko, Oleksii
dc.date2009-02-16
dc.date.accessioned2026-07-07T13:06:16Z
dc.date.available2026-07-07T13:06:16Z
dc.descriptionIn light of some recent experiments on quasi two-dimensional (2D) turbulent channel flow we provide here a model of the ideal case, for the sake of comparison. The ideal 2D channel flow differs from its 3D counterpart by having a second quadratic conserved variable in addition to the energy, and the latter has an inverse rather than a direct cascade. The resulting qualitative differences in profiles of velocity, V, and energy, K, as a function of the distance from the wall are highlighted and explained. The most glaring difference is that the 2D channel is much more energetic, with K in wall units increasing logarithmically with the Reynolds number $\Ret$ instead of being $\Ret$-independent in 3D channels.
dc.descriptionTheoretical; 4 pages, 3 figures (8 plots); Submitted to Physical Review Letters on 16 February 2009
dc.identifierhttps://arxiv.org/abs/0902.2715
dc.identifierhttp://arxiv.org/abs/0902.2715
dc.identifierPhys. Rev. E 79, 045304(R) (2009)
dc.identifierdoi:10.1103/PhysRevE.79.045304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227727
dc.subjectFluid Dynamics
dc.subjectChaotic Dynamics
dc.titleVelocity and Energy Profiles In Two- vs. Three-Dimensional Channels: Effects of Inverse vs. Direct Energy Cascade
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