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Effects of the Reynolds number on a scale-similarity model of Lagrangian velocity correlations in isotropic turbulent flows
Shi ZY(史召宇); Chen JC(陈进财); Jin GD(晋国栋)
Source PublicationAPPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
2018-11-01
Volume39Issue:11Pages:1605-1616
ISSN0253-4827
AbstractA scale-similarity model of a two-point two-time Lagrangian velocity correlation (LVC) was originally developed for the relative dispersion of tracer particles in isotropic turbulent flows (HE, G. W., JIN, G. D., and ZHAO, X. Scale-similarity model for Lagrangian velocity correlations in isotropic and stationary turbulence. Physical Review E, 80, 066313 (2009)). The model can be expressed as a two-point Eulerian space correlation and the dispersion velocity V. The dispersion velocity denotes the rate at which one moving particle departs from another fixed particle. This paper numerically validates the robustness of the scale-similarity model at high Taylor micro-scale Reynolds numbers up to 373, which are much higher than the original values (R-lambda = 66, 102). The effect of the Reynolds number on the dispersion velocity in the scale-similarity model is carefully investigated. The results show that the scale-similarity model is more accurate at higher Reynolds numbers because the two-point Lagrangian velocity correlations with different initial spatial separations collapse into a universal form compared with a combination of the initial separation and the temporal separation via the dispersion velocity. Moreover, the dispersion velocity V normalized by the Kolmogorov velocity V eta equivalent to eta/T-eta in which eta and T-eta are the Kolmogorov space and time scales, respectively, scales with the Reynolds number R-lambda as V/V-eta proportional to R-lambda(1.39) obtained from the numerical data.
Keywordturbulent mixing relative dispersion Lagrangian velocity correlation scale-similarity model dispersion velocity Reynolds number effect
DOI10.1007/s10483-018-2387-6
URL查看原文
Indexed BySCI ; EI ; CSCD
Language英语
WOS IDWOS:000451482500005
WOS KeywordDIRECT NUMERICAL SIMULATIONS ; TIME CORRELATIONS ; DISPERSION ; PARTICLES ; STATISTICS ; DIFFUSION
WOS Research AreaMathematics, Applied ; Mechanics
WOS SubjectMathematics ; Mechanics
Classification二类/Q1
Ranking1
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/78140
Collection非线性力学国家重点实验室
Affiliation1.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
3.Sun Yat Sen Univ, Sch Engn, Guangzhou 510275, Guangdong, Peoples R China
Recommended Citation
GB/T 7714
Shi ZY,Chen JC,Jin GD. Effects of the Reynolds number on a scale-similarity model of Lagrangian velocity correlations in isotropic turbulent flows[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2018,39(11):1605-1616.
APA 史召宇,陈进财,&晋国栋.(2018).Effects of the Reynolds number on a scale-similarity model of Lagrangian velocity correlations in isotropic turbulent flows.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,39(11),1605-1616.
MLA 史召宇,et al."Effects of the Reynolds number on a scale-similarity model of Lagrangian velocity correlations in isotropic turbulent flows".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 39.11(2018):1605-1616.
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