Mach-number-invariant mean-velocity profile of compressible turbulent boundary layers

You Sheng Zhang, Wei Tao Bi, Fazle Hussain, Xin Liang Li, Zhen Su She

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


A series of Mach-number- (M) invariant scalings is derived for compressible turbulent boundary layers (CTBLs), leading to a viscosity weighted transformation for the mean-velocity profile that is superior to vanDriest transformation. The theory is validated by direct numerical simulation of spatially developing CTBLs with M up to 6. A boundary layer edge is introduced to compare different M flows and is shown to better present the M-invariant multilayer structure of CTBLs. The new scalings derived from the kinetic energy balance substantiate Morkovin's hypothesis and promise accurate prediction of the mean profiles of CTBLs.

Original languageEnglish (US)
Article number054502
JournalPhysical Review Letters
Issue number5
StatePublished - Jul 31 2012

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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