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

doi:10.1103/PhysRevLett.109.054502

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

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

48 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 language	English
Article number	054502
Journal	Physical Review Letters
Volume	109
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevLett.109.054502
State	Published - Jul 31 2012

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10.1103/PhysRevLett.109.054502

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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.",

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AU - Zhang, You Sheng

AU - Bi, Wei Tao

AU - Hussain, Fazle

AU - Li, Xin Liang

AU - She, Zhen Su

PY - 2012/7/31

Y1 - 2012/7/31

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AB - 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.

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JO - Physical Review Letters

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

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