Effects of bulk viscosity on compressible homogeneous turbulence

Chen, Song1,2; Wang, Xiaoning1,2; Wang, Jianchun1; Wan, Minping1; Li, Hui2; Chen, Shiyi1,3

2019-08

10.1063/1.5111062

PHYSICS OF FLUIDS   影响因子和分区

1070-6631

1089-7666

The bulk viscosity appearing in the Navier-Stokes equations is generally assumed to be zero for dilute monatomic gases or incompressible fluids. With the growing interest in compressible flows, it is necessary to have a more clear understanding of the role of bulk viscosity and its effects on the properties of flow fields. In the present study, the effects of bulk viscosity on statistically stationary compressible homogeneous turbulence are studied by numerical simulations at the turbulent Mach number range 0.1-0.6. The results of compressible isotropic turbulence and compressible shear turbulence are compared and discussed for three bulk to shear viscosity ratios, i.e., mu(b)/mu=0, 10, and 30. The compensated spectrum of the velocity component shows that a better M-t(4) scaling is obtained with a higher bulk to shear viscosity ratio. This observation is confirmed by the one-point statistics of normalized compressible kinetic energy, K-c/K-s, which retains the M-t(4) scaling that is predicted by pseudosound theory at turbulent Mach numbers up to 0.6 when mu(b)/mu increases to 30. The analysis of small scale properties reveals that the compressibility of the flow is significantly reduced when bulk viscosity is involved, and the flow fields approach the nearly incompressible state, which is the reason that the Mt4 scaling is observed at a much higher turbulent Mach number compared to the previous studies on the compressible homogeneous turbulence without the bulk viscosity. Published under license by AIP Publishing.

SCI ; CPCI-S ; EI

英语

第一 ; 通讯

Young Elite Scientist Sponsorship Program by CAST[2016QNRC001]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000483888900063

AMER INST PHYSICS

20193507371554

Aerodynamics ; Flow fields ; Incompressible flow ; Kinetic energy ; Kinetics ; Mach number ; Polymer blends ; Shear flow ; Shear viscosity ; Turbulence

Fluid Flow, General:631.1 ; Aerodynamics, General:651.1 ; Polymer Products:817.1 ; Calculus:921.2 ; Mechanical Variables Measurements:943.2

PHYSICS

Web of Science

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

Chen, Song,Wang, Xiaoning,Wang, Jianchun,et al. Effects of bulk viscosity on compressible homogeneous turbulence[J]. PHYSICS OF FLUIDS,2019,31(8).

Chen, Song,Wang, Xiaoning,Wang, Jianchun,Wan, Minping,Li, Hui,&Chen, Shiyi.(2019).Effects of bulk viscosity on compressible homogeneous turbulence.PHYSICS OF FLUIDS,31(8).

Chen, Song,et al."Effects of bulk viscosity on compressible homogeneous turbulence".PHYSICS OF FLUIDS 31.8(2019).