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- W2077104648 abstract "In order to assess the refined similarity hypothesis (RSH) of the Kolmogorov 1962 (K62) theory, recently many authors have measured the correlation coefficients between |ensuremath{Delta}${mathit{u}}_{mathit{r}}$| (or ensuremath{Delta}${mathit{u}}_{mathit{r}}$) and ${mathrm{ensuremath{epsilon}}}_{mathit{r}}$ [or (r${mathrm{ensuremath{epsilon}}}_{mathit{r}}$${)}^{1/3}$] of the high-Reynolds-number turbulence, here ensuremath{Delta}${mathit{u}}_{mathit{r}}$ is the velocity difference across a distance r, and ${mathrm{ensuremath{epsilon}}}_{mathit{r}}$ is the local average dissipation over the scale r which is represented by its one-dimensional (1D) surrogate in experiments. We study how the correlation coefficients change with r in the inertial range according to the K62 theory, using three typical models of intermittency. It is found that the experimental data of correlation coefficients contradict consequences of the K62 theory no matter which of the three intermittency models is used. This finding may imply that the stochastic variable V=ensuremath{Delta}${mathit{u}}_{mathit{r}}$/(r${mathrm{ensuremath{epsilon}}}_{mathit{r}}$${)}^{1/3}$ depends on (r${mathrm{ensuremath{epsilon}}}_{mathit{r}}$${)}^{1/3}$ in the inertial range captured in experiments while ${mathrm{ensuremath{epsilon}}}_{mathit{r}}$ is represented by its 1D surrogate, and highlights the issue on the RSH of the K62 theory. textcopyright{} 1996 The American Physical Society." @default.
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- W2077104648 date "1996-07-01" @default.
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- W2077104648 title "Correlation coefficients between the velocity difference and local average dissipation of turbulence" @default.
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- W2077104648 doi "https://doi.org/10.1103/physreve.54.981" @default.
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