In the present study, we investigate two-point statistics of fluctuating streamwise wall shear stress and wall heat flux by exploiting a direct numerical simulation database of supersonic turbulent boundary layers over a heated wall and a cooled wall at the friction Reynolds number around 800. By separately investigating positive and negative families of and with the aid of the conditional correlation analysis, we identify the asymmetrical deformation of and , reminiscent of and ascribed to the asymmetrical deformations of sweeps and ejections events. The degree of such asymmetry is alleviated by the lower wall temperature. The spatial orientation of is insensitive to the wall temperature, whereas the spanwise elongated that is closely related to the wall pressure is manifested merely in the cooled-wall case. The cross correlation between and the fluctuating streamwise velocity u′ reveals that low-speed streaks related to negative are more inclined to the wall than high-speed ones related to positive by , and that the phase lag between negative and u′ is larger than that between positive and u′ except in the near-wall region. Such a difference is proportional to the wall distance and should be considered for models predicting near-wall and wall quantities using signals in the logarithmic layer.
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June 2022
Research Article|
June 03 2022
Effects of wall temperature on two-point statistics of the fluctuating wall shear stress and heat flux in supersonic turbulent boundary layers
Special Collection:
Centennial of the Kármán-Pohlhausen Momentum-Integral Approach
Siwei Dong (董思卫)
;
Siwei Dong (董思卫)
State Key Laboratory of Aerodynamics
, 621000 Mianyang, China
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Fulin Tong (童福林)
;
Fulin Tong (童福林)
State Key Laboratory of Aerodynamics
, 621000 Mianyang, China
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Ming Yu (余明)
;
Ming Yu (余明)
State Key Laboratory of Aerodynamics
, 621000 Mianyang, China
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Jianqiang Chen (陈坚强)
;
Jianqiang Chen (陈坚强)
State Key Laboratory of Aerodynamics
, 621000 Mianyang, China
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Xianxu Yuan (袁先旭)
;
Xianxu Yuan (袁先旭)
a)
State Key Laboratory of Aerodynamics
, 621000 Mianyang, China
a)Author to whom correspondence should be addressed: yuanxianxu@cardc.cn
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Qian Wang (王乾)
Qian Wang (王乾)
State Key Laboratory of Aerodynamics
, 621000 Mianyang, China
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a)Author to whom correspondence should be addressed: yuanxianxu@cardc.cn
Note: This paper is part of the special topic, Centennial of the Kármán-Pohlhausen Momentum-Integral Approach.
Physics of Fluids 34, 065114 (2022)
Article history
Received:
March 30 2022
Accepted:
May 16 2022
Citation
Siwei Dong, Fulin Tong, Ming Yu, Jianqiang Chen, Xianxu Yuan, Qian Wang; Effects of wall temperature on two-point statistics of the fluctuating wall shear stress and heat flux in supersonic turbulent boundary layers. Physics of Fluids 1 June 2022; 34 (6): 065114. https://doi.org/10.1063/5.0093788
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