Identification of Separation Wavenumber between Weak and Strong Turbulence Spectra for Vibrating Plate
نویسندگان
چکیده
A weakly nonlinear spectrum and a strongly nonlinear spectrum coexist in a statistically steady state of elastic wave turbulence. The analytical representation of the nonlinear frequency is obtained by evaluating the extended self-nonlinear interactions. The critical wavenumbers at which the nonlinear frequencies are comparable with the linear frequencies agree with the separation wavenumbers between the weak and strong turbulence spectra. We also confirm the validity of our analytical representation of the separation wavenumbers through comparison with the results of direct numerical simulations by changing the material parameters of a vibrating plate.
منابع مشابه
Observation of wave turbulence in vibrating plates.
The nonlinear interaction of waves in a driven medium may lead to wave turbulence, a state such that energy is transferred from large to small length scales. Here, wave turbulence is observed in experiments on a vibrating plate. The frequency power spectra of the normal velocity of the plate may be rescaled on a single curve, with power-law behaviors that are incompatible with the weak turbulen...
متن کاملWeak and strong wave turbulence spectra for elastic thin plate.
A variety of statistically steady energy spectra in elastic wave turbulence have been reported in numerical simulations, experiments, and theoretical studies. Focusing on the energy levels of the system, we perform direct numerical simulations according to the Föppl-von Kármán equation, and successfully reproduce the variability of the energy spectra by changing the magnitude of external force ...
متن کاملWind Tunnel Model Study of Turbulence Regime in The
Results from a wind tunnel model of the sheared atmospheric convective boundary layer (CBL) are presented and discussed. The model is realized in the thermally stratified wind tunnel of the Institute of Hydrology and Water Resources Planning (IHW), University of Karlsruhe. Design of the wind tunnel, and the technique employed for velocity and temperature measurements are described. The performe...
متن کاملHybrid noise control in a duct using a light micro-perforated plate.
A plate silencer consists of an expansion chamber with two side-branch cavities covered by light but extremely stiff plates. It works effectively with a wide stopband from low-to-medium frequencies only if the plate is extremely stiff, to ensure a strong reflection of acoustic wave to the upstream in the duct. However, a plate with a slightly weak bending stiffness will result in non-uniform tr...
متن کاملNonlinear dynamics of flexural wave turbulence.
The Kolmogorov-Zakharov spectrum predicted by the weak turbulence theory remains elusive for wave turbulence of flexural waves at the surface of a thin elastic plate. We report a direct measurement of the nonlinear time scale T(NL) related to energy transfer between waves. This time scale is extracted from the space-time measurement of the deformation of the plate by studying the temporal dynam...
متن کامل