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arXiv · 0705.4592

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

Victor S. L'vov·Itamar Procaccia·Oleksii Rudenko
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Abstract

In 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.

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Victor S. L'vov, Itamar Procaccia, Oleksii Rudenko. 2007-12-07. Universal Model of Finite-Reynolds Number Turbulent Flow in Channels and Pipes. https://doi.org/10.1103/physrevlett.100.054504

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