Compressibility effects in supersonic and hypersonic turbulent boundary layers subject to wall disturbances

In the present study, we investigate the compressibility effects in supersonic and hypersonic turbulent boundary layers under the influence of wall disturbances by exploiting direct numerical simulation databases at Mach numbers up to 6. Such wall disturbances enforce extra Reynolds shear stress on...

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Vydáno v:Journal of fluid mechanics Ročník 972
Hlavní autoři: Yu, Ming, Zhou, QingQing, Dong, SiWei, Yuan, XianXu, Xu, ChunXiao
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cambridge, UK Cambridge University Press 04.10.2023
Témata:
Boundary layers
Components
Compressibility
Compressibility effects
Cross correlation
Density
Direct numerical simulation
Disturbances
Energy
Free flow
Friction
Heat
Hypotheses
JFM Papers
Kinetic energy
Mach number
Mathematical models
Mitigation
Numerical analysis
Reynolds stress
Rivers
Shear stress
Skin
Skin friction
Streamlines
Traveling waves
Turbulence
Turbulent boundary layer
Validity
Velocity
Viscosity
Wave packets
turbulent boundary layers
compressible turbulence
high-speed flow
ISSN:0022-1120, 1469-7645
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Abstract In the present study, we investigate the compressibility effects in supersonic and hypersonic turbulent boundary layers under the influence of wall disturbances by exploiting direct numerical simulation databases at Mach numbers up to 6. Such wall disturbances enforce extra Reynolds shear stress on the wall and induce mean streamline curvature in rough wall turbulence that leads to the intensification of turbulent motions in the outer region. The turbulent and fluctuating Mach numbers, the density and the velocity divergence fluctuation intensities suggest that the compressibility effects are enhanced by the increment of the free-stream Mach number and the implementation of the wall disturbances. The differences between the Reynolds and Favre average due to the density fluctuations constitute approximately $9\,\%$ of the mean velocity close to the wall and $30\,\%$ of the Reynolds stress near the edge of the boundary layer, indicating their non-negligibility in turbulent modelling strategies. The comparatively strong compressive events behaving as eddy shocklets are observed at the free-stream Mach number of $6$ only in the cases with wall disturbances. By further splitting the velocity into the solenoidal and dilatational components with the Helmholtz decomposition, we found that the dilatational motions are organized as travelling wave packets in the wall-parallel planes close to the wall and as forward inclined structures in the form of radiated waves in the vertical planes. Despite their increased magnitudes and higher portion in the Reynolds normal and shear stresses, the dilatational motions show no tendency of contributing significantly to the skin friction and the production of turbulent kinetic energy due to their mitigation by the cross-correlation between the solenoidal and dilatational velocity components.
AbstractList In the present study, we investigate the compressibility effects in supersonic and hypersonic turbulent boundary layers under the influence of wall disturbances by exploiting direct numerical simulation databases at Mach numbers up to 6. Such wall disturbances enforce extra Reynolds shear stress on the wall and induce mean streamline curvature in rough wall turbulence that leads to the intensification of turbulent motions in the outer region. The turbulent and fluctuating Mach numbers, the density and the velocity divergence fluctuation intensities suggest that the compressibility effects are enhanced by the increment of the free-stream Mach number and the implementation of the wall disturbances. The differences between the Reynolds and Favre average due to the density fluctuations constitute approximately $9\,\%$ of the mean velocity close to the wall and $30\,\%$ of the Reynolds stress near the edge of the boundary layer, indicating their non-negligibility in turbulent modelling strategies. The comparatively strong compressive events behaving as eddy shocklets are observed at the free-stream Mach number of $6$ only in the cases with wall disturbances. By further splitting the velocity into the solenoidal and dilatational components with the Helmholtz decomposition, we found that the dilatational motions are organized as travelling wave packets in the wall-parallel planes close to the wall and as forward inclined structures in the form of radiated waves in the vertical planes. Despite their increased magnitudes and higher portion in the Reynolds normal and shear stresses, the dilatational motions show no tendency of contributing significantly to the skin friction and the production of turbulent kinetic energy due to their mitigation by the cross-correlation between the solenoidal and dilatational velocity components.
In the present study, we investigate the compressibility effects in supersonic and hypersonic turbulent boundary layers under the influence of wall disturbances by exploiting direct numerical simulation databases at Mach numbers up to 6. Such wall disturbances enforce extra Reynolds shear stress on the wall and induce mean streamline curvature in rough wall turbulence that leads to the intensification of turbulent motions in the outer region. The turbulent and fluctuating Mach numbers, the density and the velocity divergence fluctuation intensities suggest that the compressibility effects are enhanced by the increment of the free-stream Mach number and the implementation of the wall disturbances. The differences between the Reynolds and Favre average due to the density fluctuations constitute approximately $9\,\%$ of the mean velocity close to the wall and $30\,\%$ of the Reynolds stress near the edge of the boundary layer, indicating their non-negligibility in turbulent modelling strategies. The comparatively strong compressive events behaving as eddy shocklets are observed at the free-stream Mach number of $6$ only in the cases with wall disturbances. By further splitting the velocity into the solenoidal and dilatational components with the Helmholtz decomposition, we found that the dilatational motions are organized as travelling wave packets in the wall-parallel planes close to the wall and as forward inclined structures in the form of radiated waves in the vertical planes. Despite their increased magnitudes and higher portion in the Reynolds normal and shear stresses, the dilatational motions show no tendency of contributing significantly to the skin friction and the production of turbulent kinetic energy due to their mitigation by the cross-correlation between the solenoidal and dilatational velocity components.
ArticleNumber A32
Author Yu, Ming
Zhou, QingQing
Dong, SiWei
Yuan, XianXu
Xu, ChunXiao
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  givenname: Ming
  orcidid: 0000-0001-7772-833X
  surname: Yu
  fullname: Yu, Ming
  email: yum16@tsinghua.org.cn
  organization: 1State Key Laboratory of Aerodynamics, Mianyang 621000, PR China
– sequence: 2
  givenname: QingQing
  surname: Zhou
  fullname: Zhou, QingQing
  organization: 1State Key Laboratory of Aerodynamics, Mianyang 621000, PR China
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  givenname: SiWei
  orcidid: 0000-0002-4725-2964
  surname: Dong
  fullname: Dong, SiWei
  organization: 1State Key Laboratory of Aerodynamics, Mianyang 621000, PR China
– sequence: 4
  givenname: XianXu
  orcidid: 0000-0002-7668-0116
  surname: Yuan
  fullname: Yuan, XianXu
  organization: 1State Key Laboratory of Aerodynamics, Mianyang 621000, PR China
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  givenname: ChunXiao
  orcidid: 0000-0001-5292-8052
  surname: Xu
  fullname: Xu, ChunXiao
  organization: 2Key Laboratory of Applied Mechanics, Ministry of Education, Institute of Fluid Mechanics, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
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crossref_primary_10_1016_j_ast_2025_110087
crossref_primary_10_1016_j_ijheatfluidflow_2024_109311
crossref_primary_10_1016_j_ast_2024_108879
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Snippet In the present study, we investigate the compressibility effects in supersonic and hypersonic turbulent boundary layers under the influence of wall...
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SubjectTerms Boundary layers
Components
Compressibility
Compressibility effects
Cross correlation
Density
Direct numerical simulation
Disturbances
Energy
Free flow
Friction
Heat
Hypotheses
JFM Papers
Kinetic energy
Mach number
Mathematical models
Mitigation
Numerical analysis
Reynolds stress
Rivers
Shear stress
Skin
Skin friction
Streamlines
Traveling waves
Turbulence
Turbulent boundary layer
Validity
Velocity
Viscosity
Wave packets
Title Compressibility effects in supersonic and hypersonic turbulent boundary layers subject to wall disturbances
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Volume 972
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