Lagrangian structure functions in hydrodynamic turbulence

Autor:	V. A. Sirota, Aleksandr V. Gurevich, A. S. Il’in, Kirill P. Zybin
Rok vydání:	2008
Předmět:	Physics::Fluid Dynamics Physics Range (mathematics) Inertial frame of reference Solid-state physics Position (vector) Turbulence General Physics and Astronomy Statistical theory Navier–Stokes equations Scaling Mathematical physics
Zdroj:	Journal of Experimental and Theoretical Physics. 107:879-886
ISSN:	1090-6509 1063-7761
DOI:	10.1134/s1063776108110198
Popis:	Based on a solution of the Navier-Stokes equations for the inertial range of fully developed turbulence, a statistical theory is developed to determine the Lagrangian structure functions Kn (τ). Over times τ shorter than the large-scale correlation time τc, they obey scaling relations of the form Kn (τ) ∞ \( \tau ^{\zeta _n } \). Analytical expressions are derived for ζn. A detailed comparison between the theory and the experimental results presented in [1] demonstrates complete quantitative agreement. A new concept is introduced in turbulence theory: the correlation Rn (τ) between tracer-particle positions on a Lagrangian trajectory. It is shown that the position correlation functions Rn exhibit universal scaling behavior for n > 3.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2f284d3bd43d50a3712d1edd7c0aa71f https://doi.org/10.1134/s1063776108110198 Zobrazit plný text záznamu Plný text ve formátu PDF