dorsal/arxiv
View SchemaTwo-loop calculation of the turbulent Prandtl number
| Authors | L. Ts. Adzhemyan, J. Honkonen, T. L. Kim, L. Sladkoff |
|---|---|
| Categories | |
| ArXiv ID | physics/0412019 |
| URL | https://arxiv.org/abs/physics/0412019 |
| DOI | 10.1103/PhysRevE.71.056311 |
| Journal | Phys. Rev. E 71, 056311 (2005) |
Abstract
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.
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"abstract": "The turbulent Prandtl number has been calculated in the two-loop\napproximation of the $\\eps$ expansion of the stochastic theory of turbulence.\nThe strikingly small value obtained for the two-loop correction explains the\ngood agreement of the earlier one-loop result with the experiment. This\nsituation is drastically different from other available nontrivial two-loop\nresults, which exhibit corrections of the magnitude of the one-loop term. The\nreason is traced to the mutual cancellation of additional divergences appearing\nin two dimensions which have had a major effect on the results of previous\ncalculations of other quantities.",
"arxiv_id": "physics/0412019",
"authors": [
"L. Ts. Adzhemyan",
"J. Honkonen",
"T. L. Kim",
"L. Sladkoff"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.71.056311",
"journal_ref": "Phys. Rev. E 71, 056311 (2005)",
"title": "Two-loop calculation of the turbulent Prandtl number",
"url": "https://arxiv.org/abs/physics/0412019"
},
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