Abstract
The experimental results of studying wave turbulence in a system of capillary waves on the surface of water in a cylindrical vessel are presented. Waves on the surface are excited by vertical vibrations of the water-filled vessel with accelerations below the parametric-instability threshold at a fixed frequency f p or in the frequency band from 30 to 50 Hz. The deviation of the surface from equilibrium is recorded by a laser beam reflecting from water. It is shown experimentally that the position of the high-frequency boundary of the inertial range f b of the turbulent cascade is shifted towards high frequencies with an increase in the pump amplitude А and described by the power function f b ~ A β with index β equal to 1.2 ± 0.1 for monochromatic pumping and 1.10 ± 0.15 for broadband pumping. The value of the index β for monochromatic pumping is close to the theoretical estimate; for broadband pumping, it is less by a factor of 2.5. In the dissipation region f > f b , the turbulent distribution is damped exponentially with the characteristic frequency f d depending on the amplitude and spectral characteristic of the excitation force. It follows from the amplitude dependences that the frequency f d is proportional to the frequency of the boundary of the inertial range f b .
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Original Russian Text © S.V. Filatov, M.Yu. Brazhnikov, A.A. Levchenko, A.M. Lihter, 2016, published in Poverkhnost’, 2016, No. 10, pp. 69–76.
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Filatov, S.V., Brazhnikov, M.Y., Levchenko, A.A. et al. Turbulence in the system of capillary waves on the surface of water. J. Surf. Investig. 10, 1060–1066 (2016). https://doi.org/10.1134/S102745101605027X
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DOI: https://doi.org/10.1134/S102745101605027X