可压缩壁湍流热力学量统计特性分析

doi:10.7527/S1000-6893.2022.27217

Abstract

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.

Key words: compressible wall-bounded turbulence, direct numerical simulation, thermodynamic variables, coherent structures, statistical properties, turbulent transport

CLC Number:

V411.3

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.

Figures/Tables 16

Fig. 1

Table 1

Physical parameters

算例	$R e τ$	$M a b$	$M a C$	$T w / T r$
A1	528	0.77	0.88	1.0
A2	523	1.35	1.57	1.0
A3	496	2.15	2.53	1.0
A4	515	2.74	3.28	1.0
A5	494	2.88	3.48	1.0
C1	450	4.61	6.15	0.5
C2	540	4.79	6.03	0.2

Table 1

Fig. 2

Table 2

Simulation parameters

算例	$L x$	$L y$	$L z$	$N x$	N_y	N_z	$Δ x +$	$Δ z +$	$Δ y w +$
A1	2πh	2h	πh	576	288	576	5.8	2.9	0.61
A2	2πh	2h	πh	576	288	576	5.7	2.9	0.6
A3	2πh	2h	πh	576	288	576	5.4	2.8	0.58
A4	2πh	2h	πh	576	288	576	5.6	2.8	0.59
A5	2πh	2h	πh	576	288	576	5.4	2.7	0.57
C1	2πh	2h	πh	576	288	576	4.8	2.4	0.46
C2	6πh	2h	πh	1 024	288	576	9.9	2.9	0.59

Table 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Fig. 10

Fig.11

Fig.12

Fig. 13

Fig. 14

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Statistical properties of thermodynamic fluctuations in compressible wall⁃bounded turbulence

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