中国科学:物理学 力学 天文学(英文版)2024,Vol.67Issue(9) :108-125.DOI:10.1007/s11433-024-2420-5

Velocity transformation for compressible wall-bounded turbulence——An approach through the mixing length hypothesis

Xuke Zhu Yubin Song Xiaoshuo Yang Zhenhua Xia
中国科学:物理学 力学 天文学(英文版)2024,Vol.67Issue(9) :108-125.DOI:10.1007/s11433-024-2420-5

Velocity transformation for compressible wall-bounded turbulence——An approach through the mixing length hypothesis

Xuke Zhu 1Yubin Song 1Xiaoshuo Yang 1Zhenhua Xia1
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作者信息

  • 1. State Key Laboratory of Fluid Power and Mechatronic Systems and Department of Engineering Mechanics,Zhejiang University,Hangzhou 310027,China
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Abstract

In an endeavor to establish a connection between the mean velocity profile in compressible wall-bounded turbulence and its incompressible analogue,a refined version of the Trettel and Larsson's(TL)transformation is systematically derived and rigor-ously assessed across diverse flow scenarios.Incorporating the recently proposed intrinsic compressibility effects and modeling the multi-layer structure of mixing lengths,the proposed transformation demonstrates exceptional performance in collapsing 57 canonical flow cases,including cooled channel and pipe flows,channel flows with pseudo heat sources,as well as adiabatic and diabatic boundary layer flows.Furthermore,the transformation seamlessly extends to low Reynolds number cooled channel and pipe flows,achieving a level of accuracy unparalleled by other transformations in the current state-of-the-art.

Key words

mixing length hypothesis/compressible wall-bounded turbulence/velocity transformation/law of the wall

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基金项目

National Natural Science Foundation of China(92152101)

National Natural Science Foundation of China(92152301)

出版年

2024
中国科学:物理学 力学 天文学(英文版)
中国科学院

中国科学:物理学 力学 天文学(英文版)

CSTPCD
影响因子:0.91
ISSN:1674-7348
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