2004/12/03 by L. Ts. Adzhemyan, Juha Honkonen, J. Honkonen +2
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Aerodynamics and Acoustics in Jet Flows #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.71.056311
published as Phys. Rev. E 71, 056311 (2005) · 11 pages, 3 figures
arxiv created 2004/12/03 · openalex publication_date 2005/05/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The turbulent Prandtl number has been calculated in the two-loop approximation of the epsilon 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.