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Governing Equations of Compressible Turbulence

Fluid Dynamics 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.physics/0412083,
  title  = {Governing Equations of Compressible Turbulence},
  author = {Feng Wu},
  journal= {arXiv preprint arXiv:physics/0412083},
  year   = {2007}
}

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11 pages