Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/8823
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dc.contributor.authorRamos, Fábio Antonio Tavares-
dc.contributor.authorRosa, Ricardo Martins da Silva-
dc.contributor.authorTemam, Roger-
dc.date.accessioned2019-07-16T15:35:10Z-
dc.date.available2009-03-20-
dc.date.available2019-07-16T15:35:10Z-
dc.date.issued2008-03-20-
dc.identifier.issn0167-2789pt_BR
dc.identifier.urihttp://hdl.handle.net/11422/8823-
dc.description.abstractWe present rigorous estimates for some physical quantities related to turbulent and non-turbulent channel flows driven by a uniform pressure gradient. Such results are based on the concept of stationary statistical solutions, which is related to the notion of ensemble averages for flows in statistical equilibrium. We provide a lower bound estimate for the mean skin friction coefficient and improve on a previous upper bound estimate for the same quantity; both estimates are derived in terms of the Reynolds number. We also present lower and upper bound estimates for the mean rate of energy dissipation, the mean longitudinal bulk velocity (in the direction of the pressure gradient), and the mean kinetic energy in terms of various physical parameters. In particular, we obtain an upper bound related to the energy dissipation law, namely that the mean rate of energy dissipation is essentially bounded by a non-dimensional universal constant times the cube of the mean longitudinal bulk velocity over a characteristic macro-scale length. Finally, we investigate the scale-by-scale energy injection due to the pressure gradient, proving an upper bound estimate for the decrease of this energy injection as the scale length decreases.en
dc.languageengpt_BR
dc.publisherElsevieren
dc.relation.ispartofPhysica D: Nonlinear Phenomenaen
dc.rightsAcesso Abertopt_BR
dc.subjectNavier–Stokes equationsen
dc.subjectTurbulenceen
dc.subjectSkin friction coefficienten
dc.subjectEnergy dissipation rateen
dc.subjectKolmogorov energy dissipation lawen
dc.subjectChannel flowsen
dc.titleStatistical estimates for channel flows driven by a pressure gradienten
dc.typeArtigopt_BR
dc.identifier.doi10.1016/j.physd.2008.03.013pt_BR
dc.description.resumoIndisponível.pt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentNúcleo Interdisciplinar de Dinâmica dos Fluidospt_BR
dc.subject.cnpqCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSpt_BR
dc.citation.volume273pt_BR
dc.citation.issue10-12pt_BR
dc.citation.spage1368pt_BR
dc.citation.epage1387pt_BR
dc.embargo.terms365 diaspt_BR
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