Macroscopic effects of the spectral structure in turbulent flows - Archive ouverte HAL
Article Dans Une Revue Nature Physics Année : 2010

Macroscopic effects of the spectral structure in turbulent flows

Résumé

There is a missing link between the macroscopic properties of turbulent flows(1-4), such as the frictional drag(5) of a wall-bounded flow, and the turbulent spectrum(1,6,7). The turbulent spectrum is a power law of exponent alpha (the 'spectral exponent') that gives the characteristic velocity of a turbulent fluctuation (or 'eddy') of size s as a function of s (ref. 1). Here we seek the missing link by comparing the frictional drag in soap-film flows(8), where alpha = 3 (refs 9,10), and in pipe flows(5), where alpha = 5/3 (refs 11,12). For moderate values of the Reynolds number Re, we find experimentally that in soap-film flows the frictional drag scales as Re-1/2, whereas in pipe flows the frictional drag scales(13) as Re-1/4. Each of these scalings may be predicted from the attendant value of a by using a new theory(14-16), in which the frictional drag is explicitly linked to the turbulent spectrum.
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hal-00672181 , version 1 (20-12-2017)

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Tuan Tran, Pinaki Chakraborty, Nicholas Guttenberg, Alisia Prescott, Hamid Kellay, et al.. Macroscopic effects of the spectral structure in turbulent flows. Nature Physics, 2010, 6, pp.438-441. ⟨10.1038/NPHYS1674⟩. ⟨hal-00672181⟩

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