Lubrication approximation for fluids with shear-dependent viscosity

Detalhes bibliográficos
Autor(a) principal: Pereira, Bruno M. M.
Data de Publicação: 2019
Outros Autores: Dias, Gonçalo A. S., Cal, Filipe S., Rajagopal, Kumbakonam R., Videman, Juha H.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/10387
Resumo: We present dimensionally reduced Reynolds type equations for steady lubricating flows of incompressible non-Newtonian fluids with shear-dependent viscosity by employing a rigorous perturbation analysis on the governing equations of motion. Our analysis shows that, depending on the strength of the power-law character of the fluid, the novel equation can either present itself as a higher-order correction to the classical Reynolds equation or as a completely new nonlinear Reynolds type equation. Both equations are applied to two classic problems: the flow between a rolling rigid cylinder and a rigid plane and the flow in an eccentric journal bearing.
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spelling Lubrication approximation for fluids with shear-dependent viscosityPower-law fluidShear-dependent viscosityReynolds equationLubrication approximationWe present dimensionally reduced Reynolds type equations for steady lubricating flows of incompressible non-Newtonian fluids with shear-dependent viscosity by employing a rigorous perturbation analysis on the governing equations of motion. Our analysis shows that, depending on the strength of the power-law character of the fluid, the novel equation can either present itself as a higher-order correction to the classical Reynolds equation or as a completely new nonlinear Reynolds type equation. Both equations are applied to two classic problems: the flow between a rolling rigid cylinder and a rigid plane and the flow in an eccentric journal bearing.MDPIRCIPLPereira, Bruno M. M.Dias, Gonçalo A. S.Cal, Filipe S.Rajagopal, Kumbakonam R.Videman, Juha H.2019-07-30T08:43:43Z2019-062019-06-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/10387engPEREIRA, Bruno M. M.; [et al] – Lubrication approximation for fluids with shear-dependent viscosity. Fluids. ISSN 2311-5521. Vol. 4, N.º 2 (2019), pp. 1-172311-552110.3390/fluids4020098metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-08-03T10:00:16Zoai:repositorio.ipl.pt:10400.21/10387Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:18:49.210214Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Lubrication approximation for fluids with shear-dependent viscosity
title Lubrication approximation for fluids with shear-dependent viscosity
spellingShingle Lubrication approximation for fluids with shear-dependent viscosity
Pereira, Bruno M. M.
Power-law fluid
Shear-dependent viscosity
Reynolds equation
Lubrication approximation
title_short Lubrication approximation for fluids with shear-dependent viscosity
title_full Lubrication approximation for fluids with shear-dependent viscosity
title_fullStr Lubrication approximation for fluids with shear-dependent viscosity
title_full_unstemmed Lubrication approximation for fluids with shear-dependent viscosity
title_sort Lubrication approximation for fluids with shear-dependent viscosity
author Pereira, Bruno M. M.
author_facet Pereira, Bruno M. M.
Dias, Gonçalo A. S.
Cal, Filipe S.
Rajagopal, Kumbakonam R.
Videman, Juha H.
author_role author
author2 Dias, Gonçalo A. S.
Cal, Filipe S.
Rajagopal, Kumbakonam R.
Videman, Juha H.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Pereira, Bruno M. M.
Dias, Gonçalo A. S.
Cal, Filipe S.
Rajagopal, Kumbakonam R.
Videman, Juha H.
dc.subject.por.fl_str_mv Power-law fluid
Shear-dependent viscosity
Reynolds equation
Lubrication approximation
topic Power-law fluid
Shear-dependent viscosity
Reynolds equation
Lubrication approximation
description We present dimensionally reduced Reynolds type equations for steady lubricating flows of incompressible non-Newtonian fluids with shear-dependent viscosity by employing a rigorous perturbation analysis on the governing equations of motion. Our analysis shows that, depending on the strength of the power-law character of the fluid, the novel equation can either present itself as a higher-order correction to the classical Reynolds equation or as a completely new nonlinear Reynolds type equation. Both equations are applied to two classic problems: the flow between a rolling rigid cylinder and a rigid plane and the flow in an eccentric journal bearing.
publishDate 2019
dc.date.none.fl_str_mv 2019-07-30T08:43:43Z
2019-06
2019-06-01T00:00:00Z
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/10400.21/10387
url http://hdl.handle.net/10400.21/10387
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv PEREIRA, Bruno M. M.; [et al] – Lubrication approximation for fluids with shear-dependent viscosity. Fluids. ISSN 2311-5521. Vol. 4, N.º 2 (2019), pp. 1-17
2311-5521
10.3390/fluids4020098
dc.rights.driver.fl_str_mv metadata only access
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rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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