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On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence

Corrsin, Stanley·1951·Journal of Applied Physics
DOI 10.1063/1.1699986
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Abstract

The one- and three-dimensional spectral equations for a field of isotropic temperature fluctuations in an isotropic turbulence are derived from the correlation equation. Then, except for the degenerate case of simple conductive decay, stationary fluctuation fields are postulated. Largely by dimensional reasoning and some simple postulates, forms of the temperature fluctuation power spectrum for particular wave number ranges are deduced and are compared with the results of previous analyses giving corresponding segments of the velocity spectrum. Finally, the relative ``effective cut-off'' wave numbers of the two spectra are compared in terms of the fluid Prandtl number.

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Metadata

Authors
Corrsin, S.
Venue
Journal of Applied Physics
Publisher
AIP Publishing
Published
1951-04-01
Volume
22
Issue
4
Pages
469-473
ISSN
  • 0021-8979 (ISSN-L)
  • 1089-7550
DOI
10.1063/1.1699986
OpenAlex
W2070478826
Cited by
1,025
References
0
FWCI
2.58
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence. https://app.cochat.ai/papers/10.1063/1.1699986
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Corrsin, S. (1951). On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence. Journal of Applied Physics. https://doi.org/10.1063/1.1699986

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.