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 journalArticle

20 Scopus citations

Abstract

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
Article number054502
JournalPhysical Review Letters
Volume109
Issue number5
DOIs
StatePublished - Jul 31 2012

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