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Article: Renormalization group analysis for thermal turbulent transport

TitleRenormalization group analysis for thermal turbulent transport
Authors
Issue Date2001
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, v. 63 n. 1 II, p. 1-11 How to Cite?
AbstractIn this study, we continue with our previous renormalization group analysis of incompressible turbulence, aiming at determination of various thermal transport properties. In particular, the temperature field T is considered a passive scalar. The quasinormal approximation is assumed for the statistical correlation between the velocity and temperature fields. A differential argument leads to derivation of the turbulent Prandtl number Prt as a function of the turbulent Peclet Pet number, which in turn depends on the turbulent eddy viscosity vt. The functional relationship between Prt and Pet is comparable to that of Yakhot et al. [Int. J. Heat Mass Transf. 30, 15 (1987)] and is in close consistency with direct-numerical-simulation results as well as measured data from experiments. The study proceeds further with limiting the operation of renormalization group analysis, yielding an inhomogeneous ordinary differential equation for an invariant thermal eddy diffusivity σ. Simplicity of the equation renders itself a closed-form solution of σ as a function of the wave number k, which, when combined with a modified Batchelor's energy spectrum for the passive temperature T, facilitates determination of the Batchelor constant CB and a parallel Smagorinsky model and the model constant CP for thermal turbulent energy transport. ©2000 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/90985
ISSN
2014 Impact Factor: 2.288
2015 SCImago Journal Rankings: 0.999
References

 

DC FieldValueLanguage
dc.contributor.authorLin, B-Sen_HK
dc.contributor.authorChang, CCen_HK
dc.contributor.authorWang, C-Ten_HK
dc.date.accessioned2010-09-17T10:11:19Z-
dc.date.available2010-09-17T10:11:19Z-
dc.date.issued2001en_HK
dc.identifier.citationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, v. 63 n. 1 II, p. 1-11en_HK
dc.identifier.issn1539-3755en_HK
dc.identifier.urihttp://hdl.handle.net/10722/90985-
dc.description.abstractIn this study, we continue with our previous renormalization group analysis of incompressible turbulence, aiming at determination of various thermal transport properties. In particular, the temperature field T is considered a passive scalar. The quasinormal approximation is assumed for the statistical correlation between the velocity and temperature fields. A differential argument leads to derivation of the turbulent Prandtl number Prt as a function of the turbulent Peclet Pet number, which in turn depends on the turbulent eddy viscosity vt. The functional relationship between Prt and Pet is comparable to that of Yakhot et al. [Int. J. Heat Mass Transf. 30, 15 (1987)] and is in close consistency with direct-numerical-simulation results as well as measured data from experiments. The study proceeds further with limiting the operation of renormalization group analysis, yielding an inhomogeneous ordinary differential equation for an invariant thermal eddy diffusivity σ. Simplicity of the equation renders itself a closed-form solution of σ as a function of the wave number k, which, when combined with a modified Batchelor's energy spectrum for the passive temperature T, facilitates determination of the Batchelor constant CB and a parallel Smagorinsky model and the model constant CP for thermal turbulent energy transport. ©2000 The American Physical Society.en_HK
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_HK
dc.relation.ispartofPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen_HK
dc.titleRenormalization group analysis for thermal turbulent transporten_HK
dc.typeArticleen_HK
dc.identifier.emailLin, B:blin@hku.hken_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1103/PhysRevE.63.016304en_HK
dc.identifier.scopuseid_2-s2.0-18644373293en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-18644373293&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume63en_HK
dc.identifier.issue1 IIen_HK
dc.identifier.spage1en_HK
dc.identifier.epage11en_HK

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