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Predictive models for near-wall velocity and temperature fluctuations in supersonic wall-bounded turbulence

Published online by Cambridge University Press:  02 March 2022

Ming Yu Open the ORCID record for Ming Yu [Opens in a new window]  and
Chunxiao Xu Open the ORCID record for Chunxiao Xu [Opens in a new window]
Ming Yu
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics R&D Center, Mianyang 621000, PR China Key Laboratory of Applied Mechanics, Ministry of Education, Institute of Fluid Mechanics, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
Chunxiao Xu*
Affiliation:
Key Laboratory of Applied Mechanics, Ministry of Education, Institute of Fluid Mechanics, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, PR China
*
†Email address for correspondence: xucx@tsinghua.edu.cn
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Abstract

Predictive models for near-wall velocity and temperature fluctuations in compressible wall-bounded turbulence are developed in the present study based on the model proposed by Marusic et al. (Science, vol. 329 (5988), 2010, pp. 193–196), which incorporates the superposition and amplitude modulation effects of the large-scale motions in the outer region on near-wall turbulence. The density variation is involved in the predictive model for velocity fluctuations to achieve Mach number independence. The predictive model for temperature fluctuations is derived to keep its consistency with the strong Reynolds analogy, in which the modulation effect is supposed to be cast as the quadratic function of the large-scale velocity fluctuations. An algebraic method is proposed to directly determine the modulation coefficients and extract the universal signals. A direct numerical simulation (DNS) of turbulent channel flow at the friction Reynolds number of $1170$ and bulk Mach number of $2.88$ is carried out for parameter calibration and validations. The variances and joint probability density functions of the predicted velocity and temperature fluctuations agree well with the DNS results.

JFM classification

Aerodynamics: High-speed flow Compressible Flows: Compressible boundary layers Turbulent Flows: Compressible turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 937 , 25 April 2022 , A32
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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