The Spatial Scaling Laws of Compressible Turbulence
Fluid Dynamics
2017-09-04 v5
Abstract
The spatial scaling laws of velocity kinetic energy spectrum for compressible turbulence flow and its density-weighted counterpart have been formulated in terms of wavenumber, dissipation rate and Mach number by using dimensional analysis. We have applied the Barenblatt's incomplete similarity theory to both kinetic and density-weighted energy spectrum and showed that, within the initial subrange, both energy spectrums approach the -5/3 power law of the wavenumber, when the Mach number tends to be naught, unity and infinity, respectively.
Keywords
Cite
@article{arxiv.1502.02815,
title = {The Spatial Scaling Laws of Compressible Turbulence},
author = {Bohua Sun},
journal= {arXiv preprint arXiv:1502.02815},
year = {2017}
}
Comments
9 pages, 2 figures, part of the work has been presented to Africomp-2015, 7-9 Jan. 2015, Marrakech, Morocco