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- W4382323310 abstract "In this study, asymptotic scaling of near-wall streamwise turbulence intensity $overline{u'u'}/u_tau^2$ ($u_tau$ is the friction velocity) is theoretically explored. The three scalings previously proposed are first reviewed with their derivation and physical justification: 1) $overline{u'u'}/u_tau^2 sim ln Re_tau$ ($Re_tau$ is the friction velocity); 2) $overline{u'u'}/u_tau^2 sim 1/U_infty^+$ ($U_infty^+$ is the inner-scaled freestream velocity in boundary layer); 3) $overline{u'u'}/u_tau^2 sim Re_tau^{-1/4}$. A new analysis is subsequently developed based on velocity spectrum, and two possible scenarios are identified based on the asymptotic behaviour of the outer-scaling part of the near-wall velocity spectrum. In the former case, the outer-scaling part of the spectrum is assumed to reach a non-zero constant as $Re_tau rightarrow infty$, and it results in the scaling of $overline{u'u'}/u_tau^2 sim ln Re_tau$, both physically and theoretically consistent with the classical attached eddy model. In the latter case, a sufficiently rapid decay of the outer-scaling part of the spectrum with $Re_tau$ is assumed due to the effect of viscosity, such that $overline{u'u'}/u_tau^2 < infty$ for all $Re_tau$. The following analysis yields $overline{u'u'}/u_tau^2 sim 1/ln Re_tau$, asymptotically consistent with the scaling of $overline{u'u'}/u_tau^2 sim 1/U_infty^+$. The scalings are further verified with the existing simulation and experimental data and those from a quasilinear approximation (Holford emph{et al.}, 2023, texttt{arXiv:2305.15043}), the spectra of which all appear to favour $overline{u'u'}/u_tau^2 sim 1/ln Re_tau$, although new datasets for $Re_tau gtrsim O(10^4)$ would be necessary to conclude this issue." @default.
- W4382323310 created "2023-06-28" @default.
- W4382323310 creator A5053787508 @default.
- W4382323310 date "2023-06-26" @default.
- W4382323310 modified "2023-09-25" @default.
- W4382323310 title "Near-wall turbulence intensity as $Re_tau rightarrow infty$" @default.
- W4382323310 doi "https://doi.org/10.48550/arxiv.2306.14674" @default.
- W4382323310 hasPublicationYear "2023" @default.
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