Fluid Mechanics and Flight Mechanics

Statistical properties of thermodynamic fluctuations in compressible wall⁃bounded turbulence

  • Yalu FU ,
  • Xianxu YUAN ,
  • Pengxin LIU ,
  • Ming YU
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  • State Key Laboratory of Aerodynamics,Mianyang 621000,China
E-mail: ming.yu@cardc.cn

Received date: 2022-03-30

  Revised date: 2022-04-24

  Accepted date: 2022-05-05

  Online published: 2022-05-19

Supported by

National Key Research and Development Plan of China(2019YFA0405200);Foundation of State Key Laboratory of Aerodynamics(SKLA-JBKYC190109);National Numerical Windtunnel Project;National Natural Science Foundation of China(92052301)

Abstract

The statistical properties of velocity fluctuations have been widely investigated in compressible wall-bounded turbulence. However, fluctuations of thermodynamic variables and their correlations require further understanding. This study exploits the direct numerical simulation databases to systematically investigate the effects of Mach numbers and wall temperatures on coherent structures and statistical properties (e.g., root-mean-square, skewness/flatness factor, correlation) of thermodynamic variables (e.g., temperature, entropy, density and pressure). It is found that the compressibility effects have significant influence on coherent structures and statistical properties in the near-wall region, manifested as stronger positive density/pressure fluctuations associated with strong compressive events, resulting in higher skewness and flatness that indicate stronger asymmetry and intermittency. Nevertheless, in the outer region, coherent structures and statistical properties of temperature/entropy/density fluctuations with different Mach numbers and wall temperatures show a similar trend with a strong correlation. In addition, velocity fluctuations have similar effects on the transport of temperature/entropy fluctuations, indicating that entropy fluctuations can be modeled in the same way as temperature fluctuations.

Cite this article

Yalu FU , Xianxu YUAN , Pengxin LIU , Ming YU . Statistical properties of thermodynamic fluctuations in compressible wall⁃bounded turbulence[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023 , 44(9) : 127217 -127217 . DOI: 10.7527/S1000-6893.2022.27217

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