Compressibility effects and turbulence scalings in supersonic channel flow

Turbulence in supersonic channel flow is studied using direct numerical simulation. The ability of outer and inner scalings to collapse profiles of turbulent stresses onto their incompressible counterparts is investigated. Such collapse is adequate with outer scaling when sufficiently far from the w...

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Bibliographic Details
Published in:Journal of fluid mechanics 2004-06, Vol.509, p.207-216
Main Authors: FOYSI, H., SARKAR, S., FRIEDRICH, R.
Format: Article
Language:English
Subjects:
Anisotropy
Channel flow
Compressible flows
shock and detonation phenomena
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
Supersonic and hypersonic flows
Turbulence simulation and modeling
Turbulent flows, convection, and heat transfer
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Summary:Turbulence in supersonic channel flow is studied using direct numerical simulation. The ability of outer and inner scalings to collapse profiles of turbulent stresses onto their incompressible counterparts is investigated. Such collapse is adequate with outer scaling when sufficiently far from the wall, but not with inner scaling. Compressibility effects on the turbulent stresses, their anisotropy, and their balance equations are identified. A reduction in the near-wall pressure–strain, found responsible for the changed Reynolds-stress profiles, is explained using a Green's-function-based analysis of the pressure field.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112004009371