Velocity and energy profiles in two- versus three-dimensional channels : effects of an inverse- versus a direct-energy cascade

V.S. L'vov, I. Procaccia, O. Rudenko

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    2 Citations (Scopus)
    101 Downloads (Pure)

    Abstract

    In 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 three-dimensional (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.
    Original languageEnglish
    Article number045304
    Pages (from-to)045304-1/4
    Number of pages4
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume79
    Issue number4
    DOIs
    Publication statusPublished - 2009

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