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Title: Scaling laws of compressible turbulence
Authors: Sun, BoHua 
Keywords: Compressible turbulence;Spatial scaling law;Dimensional analysis;Incomplete similarity
Issue Date: 2017
Publisher: Applied Mathematics and Mechanics
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.
ISSN: 0253-4827
Appears in Collections:Eng - Journal articles (DHET subsidised)

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