Governing Equations of Compressible Turbulence

Details Governing Equations of Compressible Turbulence Governing Equations of Compressible Turbulence

2004-12-15

arxiv.org/abs/physics/0412083v2

Physics

Fluid Dynamics

11 pages

Scientific paper

By the nonstandard analysis theory of turbulence, the governing equations of compressible turbulence are given. The equations can hold at non-uniform points, in fact, are new kind of equations. There are three choices. In the choice one, the second-order infinitesimal quantities are neglected, the closed equations about the point(monad)-average quantities are obtained. In other two choices, the closed equations, in which the third-order infinitesimal quantities are omitted, are given and about the instantaneous, point-averaged and fluctuant quantities.

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