Comportement asymptotique du coefficient de friction dans les écoulements turbulents bi-dimensionnels

VILQUIN, Alexandre; JAGIELKA, Julie; DJAMBOV, Simeon; HEROUARD, Hugo; FISCHER, Patrick; BRUNEAU, Charles-Henri; CHAKRABORTY, Pinaki; GIOIA, Gustavo; KELLAY, Hamid

doi:10.1126/sciadv.abc6234

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VILQUIN, Alexandre
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

JAGIELKA, Julie
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

DJAMBOV, Simeon
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

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Ce document a été publié dans

Science Advances. 2021-01-27, vol. 7, n° 5

American Association for the Advancement of Science (AAAS)

Résumé en anglais

The friction f is the property of wall-bounded flows that sets the pumping cost of a pipeline, the draining capacity of a river, and other variables of practical relevance. For highly turbulent rough-walled pipe flows, f depends solely on the roughness length scale r, and the f − r relation may be expressed by the Strickler empirical scaling f ∝ r1/3. Here, we show experimentally that for soap film flows that are the two-dimensional (2D) equivalent of highly turbulent rough-walled pipe flows, f ∝ r and the f − r relation is not the same in 2D as in 3D. Our findings are beyond the purview of the standard theory of friction but consistent with a competing theory in which f is linked to the turbulent spectrum via the spectral exponent α: In 3D, α = 5/3 and the theory yields f ∝ r1/3; in 2D, α = 3 and the theory yields f ∝ r.< Réduire

Mots clés en anglais

Turbulent flows

Friction

rough walls

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