---
_id: '10925'
abstract:
- lang: eng
  text: Direct numerical simulations (DNS) of turbulent channel flows up to  Reτ≈1000  are
    conducted to investigate the three-dimensional (consisting of streamwise wavenumber,
    spanwise wavenumber and frequency) spectrum of wall pressure fluctuations. To
    develop a predictive model of the wavenumber–frequency spectrum from the wavenumber
    spectrum, the time decorrelation mechanisms of wall pressure fluctuations are
    investigated. It is discovered that the energy-containing part of the wavenumber–frequency
    spectrum of wall pressure fluctuations can be well predicted using a similar random
    sweeping model for streamwise velocity fluctuations. To refine the investigation,
    we further decompose the spectrum of the total wall pressure fluctuations into
    the autospectra of rapid and slow pressure fluctuations, and the cross-spectrum
    between them. We focus on evaluating the assumption applied in many predictive
    models, that is, the magnitude of the cross-spectrum is negligibly small. The
    present DNS shows that neglecting the cross-spectrum causes a maximum error up
    to 4.7 dB in the subconvective region for all Reynolds numbers under test. Our
    analyses indicate that the approximation of neglecting the cross-spectrum needs
    to be applied carefully in the investigations of acoustics at low Mach numbers,
    in which the subconvective components of wall pressure fluctuations make important
    contributions to the radiated acoustic power.
acknowledgement: This research is supported by the NSFC Basic Science Center Program
  for ‘Multiscale Problems in Nonlinear Mechanics’ (no. 11988102), National Key Project
  (GJXM92579) and the Strategic Priority Research Program (XDB22040104).
article_number: A39
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Bowen
  full_name: Yang, Bowen
  id: 71b6ff4b-15b2-11ec-abd3-aef6b028cf7e
  last_name: Yang
  orcid: 0000-0002-4843-6853
- first_name: Zixuan
  full_name: Yang, Zixuan
  last_name: Yang
citation:
  ama: Yang B, Yang Z. On the wavenumber-frequency spectrum of the wall pressure fluctuations
    in turbulent channel flow. <i>Journal of Fluid Mechanics</i>. 2022;937. doi:<a
    href="https://doi.org/10.1017/jfm.2022.137">10.1017/jfm.2022.137</a>
  apa: Yang, B., &#38; Yang, Z. (2022). On the wavenumber-frequency spectrum of the
    wall pressure fluctuations in turbulent channel flow. <i>Journal of Fluid Mechanics</i>.
    Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2022.137">https://doi.org/10.1017/jfm.2022.137</a>
  chicago: Yang, Bowen, and Zixuan Yang. “On the Wavenumber-Frequency Spectrum of
    the Wall Pressure Fluctuations in Turbulent Channel Flow.” <i>Journal of Fluid
    Mechanics</i>. Cambridge University Press, 2022. <a href="https://doi.org/10.1017/jfm.2022.137">https://doi.org/10.1017/jfm.2022.137</a>.
  ieee: B. Yang and Z. Yang, “On the wavenumber-frequency spectrum of the wall pressure
    fluctuations in turbulent channel flow,” <i>Journal of Fluid Mechanics</i>, vol.
    937. Cambridge University Press, 2022.
  ista: Yang B, Yang Z. 2022. On the wavenumber-frequency spectrum of the wall pressure
    fluctuations in turbulent channel flow. Journal of Fluid Mechanics. 937, A39.
  mla: Yang, Bowen, and Zixuan Yang. “On the Wavenumber-Frequency Spectrum of the
    Wall Pressure Fluctuations in Turbulent Channel Flow.” <i>Journal of Fluid Mechanics</i>,
    vol. 937, A39, Cambridge University Press, 2022, doi:<a href="https://doi.org/10.1017/jfm.2022.137">10.1017/jfm.2022.137</a>.
  short: B. Yang, Z. Yang, Journal of Fluid Mechanics 937 (2022).
date_created: 2022-03-27T22:01:45Z
date_published: 2022-04-25T00:00:00Z
date_updated: 2023-08-03T06:20:26Z
day: '25'
department:
- _id: GradSch
doi: 10.1017/jfm.2022.137
external_id:
  arxiv:
  - '2201.04702'
  isi:
  - '000763547000001'
intvolume: '       937'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1017/jfm.2022.137
month: '04'
oa: 1
oa_version: Published Version
publication: Journal of Fluid Mechanics
publication_identifier:
  eissn:
  - 1469-7645
  issn:
  - 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the wavenumber-frequency spectrum of the wall pressure fluctuations in turbulent
  channel flow
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 937
year: '2022'
...