Spectra and Mach number scaling in compressible homogeneous shear turbulence

Chen, Song1; Wang, Jianchun1; Li, Hui2; Wan, Minping1; Chen, Shiyi1,3

2018-06

10.1063/1.5028294

PHYSICS OF FLUIDS   影响因子和分区

1070-6631

1089-7666

The effects of Mach number on the spectra and statistics of stationary compressible homogeneous shear turbulence (HST) are studied using numerical simulations in a rectangular domain (L-x = 4 pi, L-y = L-z = 2 pi) at turbulent Mach numbers from 0.05 to 0.66 and Taylor Reynolds numbers from 40 to 100. Long-term simulation results show that a statistically stationary state is obtained and the flow meets the strong acoustic equilibrium assumption at M-t approximate to 0.4. The analysis of spectral properties indicates that velocity and pressure tend toward a Mach number scaling of M-t(2) suggested by acoustic dynamics at M-t greater than or similar to 0.3. As for one-point statistics, it is found that a M-t(4) scaling predicted by pseudo-sound theory holds for normalized compressible kinetic energy, K-c/K-s, at the small turbulent Mach number M-t less than or similar to 0.1. K-c/K-s approaches a M-t(2) scaling at relatively higher turbulent Mach numbers, which is consistent with the spectral results. The normalized compressible dissipation rate, is an element of(c)/is an element of(s), is nearly independent of Taylor Reynolds number and exhibits the same M-t(4) scaling at small turbulent Mach numbers. The root mean square values of pressure, density, and temperature of compressible HST show good agreement with the M-t(4) scaling, with the coefficient approximately doubled as compared with the compressible isotropic turbulence. Published by AIP Publishing.

SCI ; EI

英语

第一 ; 通讯

Young Elite Scientist Sponsorship Program by CAST[2016QNRC001]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000437192700040

AMER INST PHYSICS

20182605382017

Kinetic energy ; Kinetics ; Mach number ; Reynolds number ; Shear flow ; Turbulence

Fluid Flow, General:631.1 ; Aerodynamics, General:651.1 ; Mechanical Variables Measurements:943.2

PHYSICS

Web of Science

1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
2.Wuhan Univ, Sch Power & Mech Engn, Wuhan 430072, Hubei, Peoples R China
3.Peking Univ, Coll Engn, Ctr Appl Phys & Technol, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China

Chen, Song,Wang, Jianchun,Li, Hui,et al. Spectra and Mach number scaling in compressible homogeneous shear turbulence[J]. PHYSICS OF FLUIDS,2018,30(6).

Chen, Song,Wang, Jianchun,Li, Hui,Wan, Minping,&Chen, Shiyi.(2018).Spectra and Mach number scaling in compressible homogeneous shear turbulence.PHYSICS OF FLUIDS,30(6).

Chen, Song,et al."Spectra and Mach number scaling in compressible homogeneous shear turbulence".PHYSICS OF FLUIDS 30.6(2018).