TY - JOUR
T1 - New relations for correlation functions in Navier-Stokes turbulence
AU - Falkovich, G.
AU - Fouxon, I.
AU - Oz, Y.
N1 - Funding Information:
The work was supported by the Israeli Science Foundation, the Deutsch-Israelische Projektkooperation, the US–Israel Binational Science Foundation, the Minerva Foundation and the German–Israeli Foundation. G.F. thanks M. Nelkin, U. Frisch, T. Gotoh and G. Boffetta for useful remarks.
PY - 2010/2/10
Y1 - 2010/2/10
N2 - We consider the steady-state statistics of turbulence in the inertial interval. The Kolmogorov flux relation (4/5-law) is shown to be a particular case of the general relation on the current-density correlation function. Using that, we derive an analogous flux relation for compressible turbulence and a new exact relation for incompressible turbulence.
AB - We consider the steady-state statistics of turbulence in the inertial interval. The Kolmogorov flux relation (4/5-law) is shown to be a particular case of the general relation on the current-density correlation function. Using that, we derive an analogous flux relation for compressible turbulence and a new exact relation for incompressible turbulence.
UR - http://www.scopus.com/inward/record.url?scp=77952371481&partnerID=8YFLogxK
U2 - 10.1017/S0022112009993429
DO - 10.1017/S0022112009993429
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AN - SCOPUS:77952371481
VL - 644
SP - 465
EP - 472
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -