Universal model of finite Reynolds number turbulent flow in channels and pipes

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

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    Abstract

    In this Letter, we suggest a simple and physically transparent analytical model of pressure driven turbulent wall-bounded flows at high but finite Reynolds numbers Re. The model provides an accurate quantitative description of the profiles of the mean-velocity and Reynolds stresses (second order correlations of velocity fluctuations) throughout the entire channel or pipe, for a 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.
    Original languageEnglish
    Article number054504
    Pages (from-to)054504-1/4
    Number of pages4
    JournalPhysical Review Letters
    Volume100
    Issue number5
    DOIs
    Publication statusPublished - 2008

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