Scaling laws of compressible turbulence

摘要

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.