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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2014

Energy flux measurement from the dissipated energy in capillary wave turbulence

Luc Deike
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Michaël Berhanu
Eric Falcon

Résumé

We study experimentally the influence of dissipation on stationary capillary wave turbulence on the surface of a fluid by changing its viscosity. We observe that the frequency power law scaling of the capillary spectrum departs significantly from its theoretical value when the dissipation is increased. The energy dissipated by capillary waves is also measured and found to increase nonlinearly with the mean power injected within the fluid. Here, we propose an experimental estimation of the energy flux at every scale of the capillary cascade. The latter is found to be non constant through the scales. For fluids of low enough viscosity, we found that both capillary spectrum scalings with the frequency and the newly defined mean energy flux are in good agreement with wave turbulence theory. The Kolmogorov-Zakharov constant is then experimentally estimated and compared to its theoretical value.
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Dates et versions

hal-00866389 , version 1 (26-09-2013)

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Luc Deike, Michaël Berhanu, Eric Falcon. Energy flux measurement from the dissipated energy in capillary wave turbulence. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 89, pp.023003. ⟨10.1103/PhysRevE.89.023003⟩. ⟨hal-00866389⟩
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