Energy flux measurement from the dissipated energy in capillary wave turbulence

Luc Deike, Michael Berhanu, and Eric Falcon
Phys. Rev. E 89, 023003 – Published 7 February 2014

Abstract

We study experimentally the influence of dissipation on stationary capillary wave turbulence on the surface of a liquid 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 liquid. Here we propose an experimental estimation of the energy flux at every scale of the capillary cascade. The latter is found to be nonconstant 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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  • Received 17 September 2013

DOI:https://doi.org/10.1103/PhysRevE.89.023003

©2014 American Physical Society

Authors & Affiliations

Luc Deike, Michael Berhanu, and Eric Falcon

  • Univ. Paris Diderot, Sorbonne Paris Cité, MSC, UMR 7057 CNRS, F-75 013 Paris, France

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Issue

Vol. 89, Iss. 2 — February 2014

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