The Effect of Reynolds Number in Compressible Channel Flow

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Abstract

In this paper, the direct numerical simulation is applied to investigate the compressible channel flow with Re=3000, 6800, 10800, 21000 and Mach number Ma=0.8.The Reynolds number effect on the statistical characteristics of the turbulence in a compressible channel is studied, as well. It is found that the high Reynolds number effect in incompressible flow also exists in compressible flow when the Reynolds number increases to Re=21000 (Reτ=1040), but some statistical results need to be corrected when Ma=0.8. For example, the Von Kamen number in the Logarithm Law in the turbulent boundary layer is suggested to be modified to 0.417 when Ma=0.8. Unlike the term of generation of turbulent kinetic energy is balanced with the term of dissipation in incompressible turbulence, the generation term of the turbulent kinetic energy in the logarithmic region of a compressible turbulence is approximately 1.2 times than that of the dissipation term. The phenomenon of "scale separation"in incompressible turbulence also exists in the compressible turbulent boundary layer, but the location of large scale in the outer region is farther from the wall and the length of streamwise scale is shorter in the pre-multiplied power spectra of the streamwise velocity fluctuation.

Original languageEnglish
Title of host publication2022 13th International Conference on Mechanical and Aerospace Engineering, ICMAE 2022
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages396-401
Number of pages6
ISBN (Electronic)9781665472357
DOIs
StatePublished - 2022
Event13th International Conference on Mechanical and Aerospace Engineering, ICMAE 2022 - Bratislava, Slovakia
Duration: 20 Jul 202222 Jul 2022

Publication series

Name2022 13th International Conference on Mechanical and Aerospace Engineering, ICMAE 2022

Conference

Conference13th International Conference on Mechanical and Aerospace Engineering, ICMAE 2022
Country/TerritorySlovakia
CityBratislava
Period20/07/2222/07/22

Keywords

  • compressible channel flow
  • direct numerical simulation
  • Reynolds number effect
  • scale separation

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