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This article is cited in 10 scientific papers (total in 10 papers)
PLASMA, HYDRO- AND GAS DYNAMICS
Wave turbulence of a liquid surface in an external tangential electric field
E. A. Kochurin Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
Abstract:
A direct numerical simulation of the interaction of plane capillary waves on the surface of a liquid dielectric in an external tangential electric field taking into account viscous forces has been performed. It has been shown that the interaction of counterpropagating nonlinear waves can generate a direct energy cascade. In the quasistationary energy dissipation regime, probability density functions for angles of inclination of the boundary tend to a Gaussian distribution and the shape of the boundary becomes complex and chaotic. The spectrum of the surface perturbations in this regime is described by a power law $k^{-5/2}$. The energy spectrum has the form $k^{-3/2}$, which coincides with the Iroshnikov–Kraichnan energy spectrum and indicates that the observed wave turbulence of the liquid surface and the weak magnetohydrodynamic turbulence of interacting Alfvén waves have a related nature.
Received: 18.10.2018 Revised: 21.11.2018 Accepted: 27.12.2018
Citation:
E. A. Kochurin, “Wave turbulence of a liquid surface in an external tangential electric field”, Pis'ma v Zh. Èksper. Teoret. Fiz., 109:5 (2019), 306–311; JETP Letters, 109:5 (2019), 303–308
Linking options:
https://www.mathnet.ru/eng/jetpl5838 https://www.mathnet.ru/eng/jetpl/v109/i5/p306
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Abstract page: | 165 | Full-text PDF : | 39 | References: | 25 | First page: | 7 |
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