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Preprints of the Keldysh Institute of Applied Mathematics, 2002, 006 (Mi ipmp980)  

Modelling developed turbulence by methods of synergetics

A. V. Kolesnichenko
Abstract: The attempt of construction of phenomenological model of a turbulence, as process of self-organizing in the open system is made. Representation of a turbulent continuum by the way of thermodynamic complex consisting of two subsystems (of the subsystem of mean motion and the subsystem of turbulent chaos, considered, in turn, as conglomeration of vortical structures of different time-space scales), has allowed to receive by methods of non-equilibrium thermodynamics not only determining ratio for velocity of a dissipation of turbulent energy in heat, but has enabled to describe Kolmogorov cascade process and to receive manifold kinetic equations (such as Fokker-Plank in configuration space) for distribution functions of the small-scale characteristics of a turbulence, in particular, non-stationary kinetic equation for a probability distribution function of a dissipation of turbulent energy.
Document Type: Preprint
Language: Russian
Citation: A. V. Kolesnichenko, “Modelling developed turbulence by methods of synergetics”, Keldysh Institute preprints, 2002, 006
Citation in format AMSBIB
\Bibitem{Kol02}
\by A.~V.~Kolesnichenko
\paper Modelling developed turbulence by methods of synergetics
\jour Keldysh Institute preprints
\yr 2002
\papernumber 006
\mathnet{http://mi.mathnet.ru/ipmp980}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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