Central mean temperature scaling in compressible turbulent channel flows with symmetric isothermal boundaries

Song，Yubin1; Zhang，Peng1; Liu，Yilang1; Xia，Zhenhua1,2

2022-04-01

10.1103/PhysRevFluids.7.044606

Physical Review Fluids   影响因子和分区

2469-990X

2469-990X

As one of the canonical flow problems in compressible wall-bounded turbulence, compressible turbulent channel flow (CTCF) with symmetric isothermal boundaries has been studied a lot in the past. In the present work, an empirical scaling for the central mean temperature in CTCFs is proposed. The scaling originates from the generalized Reynolds analogy (GRA) theory, and it depends on the Mach number, Prandtl number, and ratio of the central mean velocity to the bulk mean velocity. The available direct numerical simulation data with the bulk Reynolds number ranging from 3000 to 34 000 and Mach number ranging from 0.5 to 4.0 are used to assess the proposed scaling. It is found that the empirical scaling is quite accurate and most of the relative errors are below 1.5%. With the scaling of the central mean temperature and the GRA theory, the mean temperature profile can be quantitatively obtained through the mean velocity in CTCFs.

SCI ; EI

英语

通讯

National Natural Science Foundation of China (NSFC)[11822208,91852205,92152101,92152301] ; National Defense Science and Technology 173 Program of Technical Field Fund[2021-JCJQ-JJ-1050] ; Guangdong Provincial Key Laboratory[2019B121203001]

Physics

Physics, Fluids & Plasmas

WOS:000795864500002

AMER PHYSICAL SOC

20222012103214

Aerodynamics ; Isotherms ; Mach number ; Prandtl number ; Reynolds number

Fluid Flow, General:631.1 ; Heat Transfer:641.2 ; Aerodynamics, General:651.1 ; Physical Properties of Gases, Liquids and Solids:931.2 ; Mechanical Variables Measurements:943.2

2-s2.0-85129693079

Scopus

1.State Key Laboratory of Fluid Power and Mechatronic Systems,Department of Engineering Mechanics,Zhejiang University,Hangzhou,310027,China
2.Guangdong Provincial Key Laboratory of Turbulence Research and Applications,Southern University of Science and Technology,Shenzhen,518055,China

Song，Yubin,Zhang，Peng,Liu，Yilang,et al. Central mean temperature scaling in compressible turbulent channel flows with symmetric isothermal boundaries[J]. Physical Review Fluids,2022,7(4).

Song，Yubin,Zhang，Peng,Liu，Yilang,&Xia，Zhenhua.(2022).Central mean temperature scaling in compressible turbulent channel flows with symmetric isothermal boundaries.Physical Review Fluids,7(4).

Song，Yubin,et al."Central mean temperature scaling in compressible turbulent channel flows with symmetric isothermal boundaries".Physical Review Fluids 7.4(2022).