On Turbulence in Compressible Fluids

  • M. Y. Hussaini
  • G. Erlebacher
  • S. Sarkar
Conference paper


There is no prospect of a comprehensive theory of turbulence, especially compressible turbulence. At best there would be hypotheses based on intuition and empiricism, scaling laws based on similarity methods, analogy and dimensional analysis, and physical and mathematical models which partially explain some turbulence phenomena. An example of a hypothesis is that due to Morkovin (1964) who enunciated that the compressibility effects on turbulence structure are negligible if the root-mean-square density fluctuations are small relative to the absolute density. This was based on the empirical data which was then available, and the implicit assumption was that the pressure fluctuations and total temperature fluctuations were both small. In his excellent review article on compressible turbulent shear flows, Bradshaw (1977) discusses the compressibility effects on turbulence when these assumptions are not satisfied as, for instance, in the case of boundary layers and wakes for Mach numbers beyond 5.


Mach Number Direct Numerical Simulation Isotropic Turbulence Compressibility Effect Direct Numerical Simulation Result 
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Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • M. Y. Hussaini
  • G. Erlebacher
  • S. Sarkar

There are no affiliations available

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