作者：Bohua SUN

单位：Department of Mechanical Engineering, Cape Peninsula University of Technology, Cape Town 7535, South Africa

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.

关键词：compressible turbulence   spatial scaling law   dimensional analysis   incomplete similarity

全文链接：http://www.amm.shu.edu.cn/EN/abstract/abstract15090.shtml