KELLAY, Hamid; TRAN, Tuan; GOLDBURG, Walter; GOLDENFELD, Nigel; GIOIA, Gustavo; CHAKRABORTY, Pinaki

doi:10.1103/PHYSREVLETT.109.254502

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KELLAY, Hamid
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

TRAN, Tuan
Department of Mechanical Science and Engineering [Urbana]

GOLDBURG, Walter
Department of Physics and Astronomy [Pittsburgh]

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Physical Review Letters. 2012, vol. 109, n° 25, p. 254502 (1-5)

American Physical Society

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Although the cardinal attribute of turbulence is the velocity fluctuations, these fluctuations have been ignored in theories of the frictional drag of turbulent flows. Our goal is to test a new theory that links the frictional drag to the spectral exponent α, a property of the velocity fluctuations in a flow. We use a soap-film channel wherein for the first time the value of α can be switched between 3 and 5/3, the two theoretically possible values in soap-film flows. To induce turbulence with α=5/3, we make one of the edges of the soap-film channel serrated. Remarkably, the new theory of the frictional drag holds in both soap-film flows (for either value of the spectral exponent α) and ordinary pipe flows (where α=5/3), even though these types of flow are governed by different equations.< Réduire

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Testing a Missing Spectral Link in Turbulence

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