Using Whittle maximum likelihood on a 50-second hot-wire record from a Rayleigh-Taylor mixing experiment, the paper reports a velocity-fluctuation spectrum of the form C k^-2.04 exp(-10^-3 k) with a fitted white noise floor.
Distributed chaos and turbulence in B\'{e}nard-Marangoni and Rayleigh-B\'{e}nard convection
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abstract
Temporal and spatio-temporal (turbulence) distributed chaos in B\'{e}nard-Marangoni and Rayleigh-B\'{e}nard convection have been studied using results of laboratory experiments and direct numerical simulations in the terms of effective chaotic diffusivity (viscosity) and action. It is shown that for the both cases decaying part of the power spectra has stretched exponential form - for temporal spectrum $E(f) \propto \exp-(f/f_{\beta})^{1/2}$ and for spatial spectrum $E(k) \propto \exp-(k/k_{\beta})^{2/3}$, where the $f_{\beta}$ and $k_{\beta}$ represent low-frequency (large-scale) coherent oscillations.
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physics.flu-dyn 1years
2019 1verdicts
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WWhittle Maximum Likelihood Estimate of spectral properties of Rayleigh-Taylor interfacial mixing using hot-wire anemometry experimental data
Using Whittle maximum likelihood on a 50-second hot-wire record from a Rayleigh-Taylor mixing experiment, the paper reports a velocity-fluctuation spectrum of the form C k^-2.04 exp(-10^-3 k) with a fitted white noise floor.