Transport coefficients in weakly compressible turbulence | Zendy

Robert Rubinstein | Zendy; Gordon Erlebacher | Zendy

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Transport coefficients in weakly compressible turbulence

Author(s) -

Robert Rubinstein,

Gordon Erlebacher

Publication year - 1997

Publication title -

physics of fluids

Language(s) - English

Resource type - Journals

eISSN - 1089-7666

pISSN - 1070-6631

DOI - 10.1063/1.869413

Subject(s) - physics , turbulence , compressibility , turbulence modeling , k omega turbulence model , classical mechanics , compressible flow , k epsilon turbulence model , incompressible flow , mechanics , volume viscosity , viscosity , statistical physics , thermodynamics

A theory of transport coefficients in weakly compressible turbulence is derived by applying Yoshizawa’s two-scale direct interaction approximation to the compressible equations of motion linearized about a state of incompressible turbulence. The result is a generalization of the eddy viscosity representation of incompressible turbulence. In addition to the usual incompressible eddy viscosity, the calculation generates eddy diffusivities for entropy and pressure, and an effective bulk viscosity acting on the mean flow. The compressible fluctuations also generate an effective turbulent mean pressure and corrections to the speed of sound. Finally, Yoshizawa’s two-scale approximation generates terms in the mean flow equations which contain gradients of incompressible turbulence quantities. A preliminary description of these terms is given.

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