Two-loop calculation of the turbulent Prandtl number

The turbulent Prandtl number has been calculated in the two-loop approximation of the \(\eps\) expansion of the stochastic theory of turbulence. The strikingly small value obtained for the two-loop correction explains the good agreement of the earlier one-loop result with the experiment. This situat...

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Bibliographic Details
Published inarXiv.org
Main Authors Adzhemyan, L Ts, Honkonen, J, Kim, T L, Sladkoff, L
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.12.2004
Subjects
Mathematical analysis
Prandtl number
Turbulence
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Summary:The turbulent Prandtl number has been calculated in the two-loop approximation of the \(\eps\) expansion of the stochastic theory of turbulence. The strikingly small value obtained for the two-loop correction explains the good agreement of the earlier one-loop result with the experiment. This situation is drastically different from other available nontrivial two-loop results, which exhibit corrections of the magnitude of the one-loop term. The reason is traced to the mutual cancellation of additional divergences appearing in two dimensions which have had a major effect on the results of previous calculations of other quantities.
ISSN:2331-8422
DOI:10.48550/arxiv.0412019