Journal
JOURNAL OF FLUID MECHANICS
Volume 842, Issue -, Pages 428-468Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2018.179
Keywords
compressible boundary layers; compressible turbulence; turbulent boundary layers
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Funding
- Deutsche Forschungsgemeinschaft, DFG [RI680/31-1]
- grant GCS Lamt (LAMTUR)
- DFG Collaborative Research Center [SFB/TRR 40(A4)]
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A direct-numerical-simulation study of spatially evolving compressible zero-pressure-gradient turbulent boundary layers is presented for a fine-meshed range of Mach numbers from 0.3 to 2.5. The use of an identical set-up for all subsonic and supersonic cases warrants proper comparability and allows a highly reliable quantitative evaluation of compressible mean-flow scaling laws and the settlement on a commonly accepted compressible mean-flow velocity profile in the considered Mach and Reynolds number range. All data are compared to the literature data-base where significant data scattering can be observed. The skin-friction distribution was found in excellent agreement with the prediction by the van Driest-II transformation. Contrary to the prevailing appraisal, the wake region of the mean-velocity profile is observed to scale much better with the momentum-thickness Reynolds number calculated with the far-field-viscosity than with the wall-viscosity. The time-averaged velocity fluctuations, density-scaled according to Morkovin's hypothesis, are found to be noticeably influenced by compressibility effects in the inner layer as well as in the wake region. Allowing wall-temperature fluctuations affects neither the density nor velocity fluctuations.
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