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Taylor's hypothesis in turbulent channel flow considered using a transport equation analysis
Geng, CH; He GW(何国威); Wang, YS; Xu, CX; Lozano-Duran, A; Wallace, JM; Geng, CH (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
Source PublicationPHYSICS OF FLUIDS
2015-02
Volume27Issue:2Pages:25111
ISSN1070-6631
AbstractDirect numerical simulations of turbulent channel flow at Re-tau = 205 and 932 have been carried out to examine Taylor's "frozen turbulence" hypothesis. The terms in Taylor's hypothesis appear in the transport equation for instantaneous momentum (Navier-Stokes) in this flow. The additional terms, i.e., the additional convective acceleration term and the pressure gradient and viscous force terms, act to diminish the validity of Taylor's hypothesis when they are relatively large compared to the Taylor's hypothesis terms and are not in balance. A similar analysis has been applied to the transport equation for instantaneous vorticity. The additional terms in this equation, namely, the additional convective rates of change of vorticity terms, the stretching/compression/rotation of vorticity terms, and the viscous diffusion of vorticity terms, similarly act to diminish the validity of Taylor's hypothesis when they are relatively large compared to the terms in the hypothesis and are not in balance. Where in the channel flow this diminishment occurs, and to what degree, and which of the non-Taylor's hypothesis terms in the momentum and vorticity equations contribute most to this diminishment are unraveled here. (C) 2015 AIP Publishing LLC.
Subject AreaMechanics ; Physics, Fluids & Plasmas
DOI10.1063/1.4908070
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000350551300037
WOS KeywordNAVIER-STOKES EQUATIONS ; CONVECTION VELOCITIES ; ISOTROPIC TURBULENCE ; REYNOLDS-NUMBER ; SHEAR FLOWS ; WALL FLOWS ; STATISTICS ; APPROXIMATION ; APPLICABILITY ; ACCELERATIONS
WOS Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
Funding OrganizationInstitute of Mechanics of the Chinese Academy of Science ; Burgers Program for Fluid Dynamics of the University of Maryland ; National Natural Science Foundation of China [11232011, 11021262] ; National Basic Research Program of China (973 Program) [2013CB834100]
DepartmentLNM湍流
Classification一类/力学重要期刊
Citation statistics
Cited Times:61[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/49912
Collection非线性力学国家重点实验室
Corresponding AuthorGeng, CH (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Geng, CH,He GW,Wang, YS,et al. Taylor's hypothesis in turbulent channel flow considered using a transport equation analysis[J]. PHYSICS OF FLUIDS,2015,27,2,:25111.
APA Geng, CH.,何国威.,Wang, YS.,Xu, CX.,Lozano-Duran, A.,...&Geng, CH .(2015).Taylor's hypothesis in turbulent channel flow considered using a transport equation analysis.PHYSICS OF FLUIDS,27(2),25111.
MLA Geng, CH,et al."Taylor's hypothesis in turbulent channel flow considered using a transport equation analysis".PHYSICS OF FLUIDS 27.2(2015):25111.
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