Statistical estimates for channel flows driven by a pressure gradient

Detalhes bibliográficos
Autor(a) principal: Ramos, Fábio Antonio Tavares
Data de Publicação: 2008
Outros Autores: Rosa, Ricardo Martins da Silva, Temam, Roger
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8823
Resumo: Indisponível.
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spelling Ramos, Fábio Antonio TavaresRosa, Ricardo Martins da SilvaTemam, Roger2019-07-16T15:35:10Z2023-11-30T03:03:36Z2008-03-200167-2789http://hdl.handle.net/11422/882310.1016/j.physd.2008.03.013Indisponível.We 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.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-07-16T15:35:10Z No. of bitstreams: 1 2008_ROSA_PD_v237_p1368-1387-min.pdf: 249584 bytes, checksum: 7b4c8653d5d1535b296cea25c8b09054 (MD5)Made available in DSpace on 2019-07-16T15:35:10Z (GMT). No. of bitstreams: 1 2008_ROSA_PD_v237_p1368-1387-min.pdf: 249584 bytes, checksum: 7b4c8653d5d1535b296cea25c8b09054 (MD5) Previous issue date: 2008-03-20engElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosPhysica D: Nonlinear PhenomenaCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSNavier–Stokes equationsTurbulenceSkin friction coefficientEnergy dissipation rateKolmogorov energy dissipation lawChannel flowsStatistical estimates for channel flows driven by a pressure gradientinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article27310-1213681387365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL2008_ROSA_PD_v237_p1368-1387-min.pdf2008_ROSA_PD_v237_p1368-1387-min.pdfapplication/pdf249584http://pantheon.ufrj.br:80/bitstream/11422/8823/1/2008_ROSA_PD_v237_p1368-1387-min.pdf7b4c8653d5d1535b296cea25c8b09054MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8823/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/88232023-11-30 00:03:36.324oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:36Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv Statistical estimates for channel flows driven by a pressure gradient
title Statistical estimates for channel flows driven by a pressure gradient
spellingShingle Statistical estimates for channel flows driven by a pressure gradient
Ramos, Fábio Antonio Tavares
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Navier–Stokes equations
Turbulence
Skin friction coefficient
Energy dissipation rate
Kolmogorov energy dissipation law
Channel flows
title_short Statistical estimates for channel flows driven by a pressure gradient
title_full Statistical estimates for channel flows driven by a pressure gradient
title_fullStr Statistical estimates for channel flows driven by a pressure gradient
title_full_unstemmed Statistical estimates for channel flows driven by a pressure gradient
title_sort Statistical estimates for channel flows driven by a pressure gradient
author Ramos, Fábio Antonio Tavares
author_facet Ramos, Fábio Antonio Tavares
Rosa, Ricardo Martins da Silva
Temam, Roger
author_role author
author2 Rosa, Ricardo Martins da Silva
Temam, Roger
author2_role author
author
dc.contributor.author.fl_str_mv Ramos, Fábio Antonio Tavares
Rosa, Ricardo Martins da Silva
Temam, Roger
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Navier–Stokes equations
Turbulence
Skin friction coefficient
Energy dissipation rate
Kolmogorov energy dissipation law
Channel flows
dc.subject.eng.fl_str_mv Navier–Stokes equations
Turbulence
Skin friction coefficient
Energy dissipation rate
Kolmogorov energy dissipation law
Channel flows
description Indisponível.
publishDate 2008
dc.date.issued.fl_str_mv 2008-03-20
dc.date.accessioned.fl_str_mv 2019-07-16T15:35:10Z
dc.date.available.fl_str_mv 2023-11-30T03:03:36Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11422/8823
dc.identifier.issn.pt_BR.fl_str_mv 0167-2789
dc.identifier.doi.pt_BR.fl_str_mv 10.1016/j.physd.2008.03.013
identifier_str_mv 0167-2789
10.1016/j.physd.2008.03.013
url http://hdl.handle.net/11422/8823
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Physica D: Nonlinear Phenomena
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRJ
instname:Universidade Federal do Rio de Janeiro (UFRJ)
instacron:UFRJ
instname_str Universidade Federal do Rio de Janeiro (UFRJ)
instacron_str UFRJ
institution UFRJ
reponame_str Repositório Institucional da UFRJ
collection Repositório Institucional da UFRJ
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