Lagrangian statistical theory of fully developed hydrodynamical turbulence |
| |
Authors: | Zybin K P Sirota V A Ilyin A S Gurevich A V |
| |
Institution: | 119991 P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia. zybin@lpi.ru |
| |
Abstract: | The Lagrangian velocity structure functions in the inertial range of fully developed fluid turbulence are for the first time derived based on the Navier-Stokes equation. For time tau much smaller than the correlation time, the structure functions are shown to obey the scaling relations K_{n}(tau) proportional, varianttau;{zeta_{n}}. The scaling exponents zeta_{n} are calculated analytically without any fitting parameters. The obtained values are in amazing agreement with the experimental results of the Bodenschatz group. A new relation connecting the Lagrangian structure functions of different orders analogously to the extended self-similarity ansatz is found. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|