European Turbulence Conference 14

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SPATIOTEMPORAL INVESTIGATION OF CAPILLARY WAVE TURBULENCE: HYPOTHESIS OF WEAK NONLINEARITY UNDER SCRUTINY

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We report experiments on the full space and time resolved statistics of capillary wave turbulence at the air-water interface. The three-dimensional shape of the free interface is measured as a function of time by using the optical method of Diffusing Light Photography associated with a fast camera. When wave turbulence regime is reached, we observe power-law spectra both in frequency and in wave number, whose exponents are found in agreement with the predictions of capillary wave turbulence theory. However some hypotheses are not really verified as the hypothesis of weak non linearity. We will determine if our observations are compatible with occurrence of 3-wave interactions as expected theoretically. Finally we characterize the spatial and temporal intermittency of the turbulent wave field, and its evolution with wave amplitude.

Author(s):

Michael Berhanu    
MSC Université Paris Diderot, CNRS (UMR 7057), Paris
France

Eric Falcon    
MSC Université Paris Diderot, CNRS (UMR 7057), Paris
France

 

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