Scaling laws of compressible turbulence

doi:10.1007/s10483-017-2204-8

Abstract

Abstract:

Spatial scaling laws of velocity kinetic energy spectra for the compressible turbulence flow and the density-weighted counterparts are formulated in terms of the wavenumber, dissipation rate, and Mach number by using a dimensional analysis. We apply the Barenblatt's incomplete similarity theory to both kinetic and density-weighted energy spectra. It shows that, within the initial subrange, both energy spectra approach the -5/3 and -2 power laws of the wavenumber when the Mach number tends to unity and infinity, respectively.

Key words: non-linear non-holonomic constraints, quasi-coordinates, fundamental equations of dynamics, spatial scaling law, dimensional analysis, incomplete similarity, compressible turbulence

2010 MSC Number:

Bohua SUN. Scaling laws of compressible turbulence. Applied Mathematics and Mechanics (English Edition), 2017, 38(6): 765-778.

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