Lagrangian Statistical Theory of Fully Developed Hydrodynamical Turbulence

by: KP Zybin, VA Sirota, AS Ilyin, AV Gurevich

Physical Review Letters, Vol. 100, No. 17. (2008)

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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 much smaller than the correlation time, the structure functions are shown to obey the scaling relations Kn()n. The scaling exponents 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.

@article{zybin2008, 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 much smaller than the correlation time, the structure functions are shown to obey the scaling relations Kn()n. The scaling exponents 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.}, author = {Zybin, K. P. and Sirota, V. A. and Ilyin, A. S. and Gurevich, A. V. }, citeulike-article-id = {2750795}, doi = {10.1103/PhysRevLett.100.174504}, journal = {Physical Review Letters}, keywords = {theory}, number = {17}, posted-at = {2008-05-03 22:56:31}, priority = {2}, publisher = {APS}, title = {Lagrangian Statistical Theory of Fully Developed Hydrodynamical Turbulence}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRLTAO000100000017174504000001\&idtype=cvips\&gifs=yes}, volume = {100}, year = {2008} }

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TY - JOUR ID - zybin2008 TI - Lagrangian Statistical Theory of Fully Developed Hydrodynamical Turbulence JF - Physical Review Letters VL - 100 IS - 17 PB - APS N2 - 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 much smaller than the correlation time, the structure functions are shown to obey the scaling relations Kn()n. The scaling exponents 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. KW - theory AU - Zybin, KP AU - Sirota, VA AU - Ilyin, AS AU - Gurevich, AV PY - 2008/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000100000017174504000001&idtype=cvips&gifs=yes ER -

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