TY - JOUR
T1 - Velocity Fluctuations Spectra in Experimental Data on Rayleigh–Taylor Mixing
AU - Williams, Kurt C.
AU - Abarzhi, Snezhana I.
PY - 2023/7
Y1 - 2023/7
N2 - Rayleigh–Taylor (RT) interfacial mixing plays an important role in nature and technology, including atmospheric flows. In this work, we identify the physics properties of Rayleigh–Taylor mixing through the analysis of unprocessed experimental data. We consider the fluctuations spectra of the specific kinetic energy of each of the velocity components, and identify their spectral shapes, by employing the group theory guided foundations and the rigorous statistical method. We find the spectral shape parameters, including their mean values and relative errors, and apply the Anderson–Darling test to inspect the residuals and the goodness-of-fit. We scrupulously study the effect of the fitting window and identify, for each velocity component, the best fit interval, where the relative errors are small and the goodness of fit is excellent. We reveal that the fluctuations spectra in RT mixing experiments can be described by a compound function, being a product of a power-law and an exponential. The data analysis results unambiguously discovered the dynamic anisotropy and the dynamic bias of RT mixing and displayed the necessity to improve the design of experiments on RT mixing.
AB - Rayleigh–Taylor (RT) interfacial mixing plays an important role in nature and technology, including atmospheric flows. In this work, we identify the physics properties of Rayleigh–Taylor mixing through the analysis of unprocessed experimental data. We consider the fluctuations spectra of the specific kinetic energy of each of the velocity components, and identify their spectral shapes, by employing the group theory guided foundations and the rigorous statistical method. We find the spectral shape parameters, including their mean values and relative errors, and apply the Anderson–Darling test to inspect the residuals and the goodness-of-fit. We scrupulously study the effect of the fitting window and identify, for each velocity component, the best fit interval, where the relative errors are small and the goodness of fit is excellent. We reveal that the fluctuations spectra in RT mixing experiments can be described by a compound function, being a product of a power-law and an exponential. The data analysis results unambiguously discovered the dynamic anisotropy and the dynamic bias of RT mixing and displayed the necessity to improve the design of experiments on RT mixing.
KW - anomalous scaling
KW - fluctuations spectra
KW - goodness of fit
KW - interfacial mixing
KW - Rayleigh–Taylor instability
KW - self-similarity
UR - http://www.scopus.com/inward/record.url?scp=85166292047&partnerID=8YFLogxK
U2 - 10.3390/atmos14071178
DO - 10.3390/atmos14071178
M3 - Article
AN - SCOPUS:85166292047
SN - 2073-4433
VL - 14
JO - Atmosphere
JF - Atmosphere
IS - 7
M1 - 1178
ER -