Two-loop calculation of the turbulent Prandtl number
Fluid Dynamics
2007-05-23 v1
Abstract
The turbulent Prandtl number has been calculated in the two-loop approximation of the 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.
Keywords
Cite
@article{arxiv.physics/0412019,
title = {Two-loop calculation of the turbulent Prandtl number},
author = {L. Ts. Adzhemyan and J. Honkonen and T. L. Kim and L. Sladkoff},
journal= {arXiv preprint arXiv:physics/0412019},
year = {2007}
}
Comments
11 pages, 3 figures