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Acta Mechanica Sinica
Published in: Acta Mechanica Sinica 3/2018

20-12-2017 | Research Paper

The spanwise spectra in wall-bounded turbulence

Authors: Hong-Ping Wang, Shi-Zhao Wang, Guo-Wei He

Published in: Acta Mechanica Sinica | Issue 3/2018

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Abstract

The pre-multiplied spanwise energy spectra of streamwise velocity fluctuations are investigated in this paper. Two distinct spectral peaks in the spanwise spectra are observed in low-Reynolds-number wall-bounded turbulence. The spectra are calculated from direct numerical simulation (DNS) of turbulent channel flows and zero-pressure-gradient boundary layer flows. These two peaks locate in the near-wall and outer regions and are referred to as the inner peak and the outer peak, respectively. This result implies that the streamwise velocity fluctuations can be separated into large and small scales in the spanwise direction even though the friction Reynolds number \(Re_\tau \) can be as low as 1000. The properties of the inner and outer peaks in the spanwise spectra are analyzed. The locations of the inner peak are invariant over a range of Reynolds numbers. However, the locations of the outer peak are associated with the Reynolds number, which are much higher than those of the outer peak of the pre-multiplied streamwise energy spectra of the streamwise velocity.
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Metadata
Title
The spanwise spectra in wall-bounded turbulence
Authors
Hong-Ping Wang
Shi-Zhao Wang
Guo-Wei He
Publication date
20-12-2017
Publisher
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Published in
Acta Mechanica Sinica / Issue 3/2018
Print ISSN: 0567-7718
Electronic ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-017-0731-2

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