Low frequency spectra of bending wave turbulence

Abstract

We study experimentally the dynamics of long waves among turbulent bending waves in a thin elastic plate set into vibration by a monochromatic forcing at a frequency $f_0$. This frequency is chosen large compared with the characteristic frequencies of bending waves. As a consequence, a range of conservative scales, without energy flux in average, exists for frequencies $f<f_0$. Within this range, we report a flat power density spectrum for the orthogonal velocity, corresponding to energy equipartition between modes. Thus, the average energy per mode ${\beta }^{-1}$ -- analogous to a temperature -- fully characterizes the large-scale turbulent wave field. We present an expression for $\beta$ as a function of the forcing frequency and amplitude, and of the plate characteristics.

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Cited by in corpus (5)

• Statistical Equilibrium of Large Scales in Three-Dimensional Hydrodynamic Turbulence
• Feynman rules for forced wave turbulence
• Thermodynamics and Statistical Equilibrium of Large-Scale Hydroelastic Wave Turbulence
• Collapse of statistical equilibrium in large-scale hydroelastic turbulent waves
• Dynamical and statistical properties of large scales in turbulence