It is well known that low- and high-speed velocity streaks are statistically asymmetric. However, it is unclear how different the low- and high-temperature structures (T-structures) are even though they are strongly coupled with the streamwise velocity. Therefore, this paper identifies three-dimensional wall-attached temperature structures in supersonic turbulent boundary layers over cooled and heated walls (coming from direct numerical simulations) and separates them into positive and negative families. Wall-attached T-structures are self-similar; especially, the length and width of the positive family are linear functions of the height. The superposed temperature variance in both positive and negative families exhibits a logarithmic decay with the wall distance, while the superposed intensity of the wall-normal heat flux in the negative family shows a logarithmic growth. The modified strong Reynolds analogy proposed by Huang, Coleman, and Bradshaw [“Compressible turbulent channel flows: DNS results and modelling,” J. Fluid Mech. 305, 185–218 (1995)] is still valid in the negative family. The relative position between T-structures of opposite signs depends on the wall temperature and that in the cooled-wall case differs significantly from the relative position between low- and high-speed streaks, especially those tall ones. In the cooled-wall case, although positive temperature fluctuations below and above the maximum of the mean temperature can cluster to large-scale wall-attached structures, they are very likely dynamically unrelated.
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November 2022
Research Article|
November 07 2022
Wall-attached temperature structures in supersonic turbulent boundary layers
Special Collection:
Centennial of the Kármán-Pohlhausen Momentum-Integral Approach
Xianxu Yuan (袁先旭)
;
Xianxu Yuan (袁先旭)
(Investigation, Writing – original draft)
1
State Key Laboratory of Aerodynamics
, Mianyang 621000, China
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Fulin Tong (童福林)
;
Fulin Tong (童福林)
a)
(Conceptualization, Writing – review & editing)
1
State Key Laboratory of Aerodynamics
, Mianyang 621000, China
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Weipeng Li (李伟鹏)
;
Weipeng Li (李伟鹏)
(Writing – review & editing)
2
School of Aeronautics and Astronautics, Shanghai Jiaotong University
, Shanghai 200240, China
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Jianqiang Chen (陈坚强)
;
Jianqiang Chen (陈坚强)
(Funding acquisition)
1
State Key Laboratory of Aerodynamics
, Mianyang 621000, China
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Siwei Dong (董思卫)
Siwei Dong (董思卫)
a)
(Conceptualization, Investigation, Writing – review & editing)
1
State Key Laboratory of Aerodynamics
, Mianyang 621000, China
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Note: This paper is part of the special topic, Centennial of the Kármán-Pohlhausen Momentum-Integral Approach.
Physics of Fluids 34, 115116 (2022)
Article history
Received:
August 20 2022
Accepted:
October 14 2022
Citation
Xianxu Yuan, Fulin Tong, Weipeng Li, Jianqiang Chen, Siwei Dong; Wall-attached temperature structures in supersonic turbulent boundary layers. Physics of Fluids 1 November 2022; 34 (11): 115116. https://doi.org/10.1063/5.0121900
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