Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Law-of-the-wall for streamwise energy spectra in high-Reynolds-number
  turbulent boundary layers   A scaling relation for the high frequency regime of streamwise energy spectra
(in frequency domain) in the near-wall region is proposed. This is based on the
dimensional analysis approach of \cite{perry1977} and \cite{Zamalloa2014}
together with the hypothesis that the small-scale fluctuations in the near-wall
region should only depend on the viscous scales, analogous to the Prandtl's
law-of-the-wall for the mean flow. This allows us to examine the lower bound
for the high frequency regime where law-of-the-wall in spectra would hold.
Observations in high-Reynolds-number turbulent boundary layer data indicate
that a conservative estimate for the start of this high frequency regime is
$f^+$ = 0.005 (which corresponds to 200 viscous time-units) across a range of
wall-normal positions and Reynolds numbers. This is sufficient to capture the
energetic viscous-scaled motions such as the near-wall streaks, which has a
time scale of approximately 100 viscous units. This scaling relation and the
spectral collapse is consistent with the observations in internal flows at
lower Reynolds numbers \cite{Zamalloa2014}.

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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex