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Abstract

For the description of the microdynamical state of turbulence, a Liouville equation is taken that is equivalent to the basic hydrodynamical system of equations. The equation has the advantage of being homogeneous and contains less nonlinear terms. Our main objective is the derivation of the kinetic equation of turbulence which has a memory in the turbulent collision integral. We consider the basic pair interaction, and the interaction between a fluctuation and the organized cluster of other fluctuations in the collection system, called the multiple interaction. By a group scaling procedure, a fluctuation is decomposed into three groups to represent the three coupled transport processes of evolution, transport coefficient, and relaxation. By exploiting the property of quasi-stationarity at the different levels of degradation of coherence of the groups, we develop a transport theory with the closure by the memory loss. The kinetic equation of the scaled singlet distribution is capable of investigating the spectrum of turbulence without the need of the knowledge of the pair distribution.

Additional information

Authors: TCHEN C M, CENTRE D'ETUDES NUCLEAIRES, FONTENAY-AUX-ROSES (FRANCE);MISGUICH J H CENTRE D'ETUDES NUCLEAIRES, FONTENAY-AUX-ROSES (FRANCE), CENTRE D'ETUDES NUCLEAIRES, FONTENAY-AUX-ROSES (FRANCE)
Bibliographic Reference: WRITE TO CEA MENTIONING EUR-CEA-FC 1181 EN, 1983
Availability: Can be ordered online
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