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Title of Article

ASYMPTOTIC SOLUTIONS OF THE KINETIC BOLTZMANN EQUATION, MULTI-COMPONENT EONEQUILIBRIUM GAS-DYNAMICS AND TURBULENCE


Issue
4
Date
2011

Article type
scientific article
UDC
533.7
Pages
1106-1108
Keywords
 


Authors
Serov S.A.
Rosiyskiy federalnyy yadernyy tsentr - VNII eksperimentalnoy fiziki, Institut teoreticheskoy i matematicheskoy fiziki, g. Sarov

Serova S.S.
Sankt-Peterburgskiy gosuniversitet


Abstract
A correct method for asymptotically solving Boltzmann kinetic equation is formulated, Hilbert method and the Enskog method are considered. The equations system of multi-component nonequilibrium gas-dynamics is derived, that corresponds to the first order in the approximate method for solution of the kinetic Boltzmann equation in the frame of Struminskii approach. For one- component gas, it is shown that velocity distribution functions calculated by the proposed method and by the Enskog method, are equivalent to the first infinitesimal order terms (inclusive; accordingly, systems of gas-dynamic equations of the second order coincide), but, generally, differ in the next order. An interpretation of turbulent gas flow is proposed in the form of a gas flow stratified to components, which is described by the derived equations system.

File (in Russian)