Leading-Order Dynamics of Gravity-Driven Flows in Free-Standing Soap Films

Chakraborty, Pinaki; Tran, Tuan; Gioia, Gustavo

doi:10.1007/978-94-007-1884-5_8

Cited by 1 publication

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“…Other researchers claim that the dissipative scales of the enstrophy cascade are intermittency-free but that coherent structures emerge to produce inertial range intermittency [26,27]. The possible effect of Marangoni stresses, which are present in soap films, is also unknown [28].…”

Section: Introductionmentioning

confidence: 99%

Intermittency in 2D soap film turbulence

Cerbus

Goldburg

2013

Physics of Fluids

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The Reynolds number dependency of intermittency for 2D turbulence is studied in a flowing soap film. The Reynolds number used here is the Taylor microscale Reynolds number R_{\lambda}, which ranges from 20 to 800. Strong intermittency is found for both the inverse energy and direct enstrophy cascades as measured by (a) the pdf of velocity differences P(\delta u(r)) at inertial scales r, (b) the kurtosis of P(\partial_x u), and (c) the scaling of the so-called intermittency exponent \mu, which is zero if intermittency is absent. Measures (b) and (c) are quantitative, while (a) is qualitative. These measurements are in disagreement with some previous results but not all. The velocity derivatives are nongaussian at all R_{\lambda} but show signs of becoming gaussian as R_{\lambda} increases beyond the largest values that could be reached. The kurtosis of P(\delta u(r)) at various r indicates that the intermittency is scale dependent. The structure function scaling exponents also deviate strongly from the Kraichnan prediction. For the enstrophy cascade, the intermittancy decreases as a power law in R_{\lambda}. This study suggests the need for a new look at the statistics of 2D turbulence.Comment: 15 pages, 11 figure

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Section: Introductionmentioning

confidence: 99%