Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach

Autores
Fusi, Lorenzo; Farina, Angiolo; Rosso, Fabio; Roscani, Sabrina Dina
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we present a novel approach for modelling the lubrication flow of a Bingham fluid in a channel whose amplitude is non uniform. The novelty consists in deriving the rigid plug equation using an integral approach based on Newton's second law, where the unyielded part is treated as an evolving non material volume. Such an approach leads to an integro-differential equation for the pressure that can be solved with an iterative procedure. We prove that a true unyielded plug exists even when the maximum width variation is not "small" and we find constraints on the amplitude of the channel that prevent the plug from "breaking". We also extend our model to the case of a pressure-dependent viscosity.
Fil: Fusi, Lorenzo. Dipartimento di Matematica e Informatica “Ulisse Dini”; Italia
Fil: Farina, Angiolo. Dipartimento di Matematica e Informatica “Ulisse Dini”; Italia
Fil: Rosso, Fabio. Dipartimento di Matematica e Informatica “Ulisse Dini”; Italia
Fil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Materia
Asymptotic Expansion
Bingham Fluid
Lubrication Theory
Numerical Simulations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/84352
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approachFusi, LorenzoFarina, AngioloRosso, FabioRoscani, Sabrina DinaAsymptotic ExpansionBingham FluidLubrication TheoryNumerical Simulationshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we present a novel approach for modelling the lubrication flow of a Bingham fluid in a channel whose amplitude is non uniform. The novelty consists in deriving the rigid plug equation using an integral approach based on Newton's second law, where the unyielded part is treated as an evolving non material volume. Such an approach leads to an integro-differential equation for the pressure that can be solved with an iterative procedure. We prove that a true unyielded plug exists even when the maximum width variation is not "small" and we find constraints on the amplitude of the channel that prevent the plug from "breaking". We also extend our model to the case of a pressure-dependent viscosity.Fil: Fusi, Lorenzo. Dipartimento di Matematica e Informatica “Ulisse Dini”; ItaliaFil: Farina, Angiolo. Dipartimento di Matematica e Informatica “Ulisse Dini”; ItaliaFil: Rosso, Fabio. Dipartimento di Matematica e Informatica “Ulisse Dini”; ItaliaFil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaElsevier Science2015-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84352Fusi, Lorenzo; Farina, Angiolo; Rosso, Fabio; Roscani, Sabrina Dina; Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach; Elsevier Science; Journal Of Non-newtonian Fluid Mechanics; 221; 7-2015; 66-750377-0257CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0377025715000853info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jnnfm.2015.04.005info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:45:18Zoai:ri.conicet.gov.ar:11336/84352instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:45:18.766CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach
title Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach
spellingShingle Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach
Fusi, Lorenzo
Asymptotic Expansion
Bingham Fluid
Lubrication Theory
Numerical Simulations
title_short Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach
title_full Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach
title_fullStr Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach
title_full_unstemmed Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach
title_sort Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach
dc.creator.none.fl_str_mv Fusi, Lorenzo
Farina, Angiolo
Rosso, Fabio
Roscani, Sabrina Dina
author Fusi, Lorenzo
author_facet Fusi, Lorenzo
Farina, Angiolo
Rosso, Fabio
Roscani, Sabrina Dina
author_role author
author2 Farina, Angiolo
Rosso, Fabio
Roscani, Sabrina Dina
author2_role author
author
author
dc.subject.none.fl_str_mv Asymptotic Expansion
Bingham Fluid
Lubrication Theory
Numerical Simulations
topic Asymptotic Expansion
Bingham Fluid
Lubrication Theory
Numerical Simulations
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we present a novel approach for modelling the lubrication flow of a Bingham fluid in a channel whose amplitude is non uniform. The novelty consists in deriving the rigid plug equation using an integral approach based on Newton's second law, where the unyielded part is treated as an evolving non material volume. Such an approach leads to an integro-differential equation for the pressure that can be solved with an iterative procedure. We prove that a true unyielded plug exists even when the maximum width variation is not "small" and we find constraints on the amplitude of the channel that prevent the plug from "breaking". We also extend our model to the case of a pressure-dependent viscosity.
Fil: Fusi, Lorenzo. Dipartimento di Matematica e Informatica “Ulisse Dini”; Italia
Fil: Farina, Angiolo. Dipartimento di Matematica e Informatica “Ulisse Dini”; Italia
Fil: Rosso, Fabio. Dipartimento di Matematica e Informatica “Ulisse Dini”; Italia
Fil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
description In this paper we present a novel approach for modelling the lubrication flow of a Bingham fluid in a channel whose amplitude is non uniform. The novelty consists in deriving the rigid plug equation using an integral approach based on Newton's second law, where the unyielded part is treated as an evolving non material volume. Such an approach leads to an integro-differential equation for the pressure that can be solved with an iterative procedure. We prove that a true unyielded plug exists even when the maximum width variation is not "small" and we find constraints on the amplitude of the channel that prevent the plug from "breaking". We also extend our model to the case of a pressure-dependent viscosity.
publishDate 2015
dc.date.none.fl_str_mv 2015-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/84352
Fusi, Lorenzo; Farina, Angiolo; Rosso, Fabio; Roscani, Sabrina Dina; Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach; Elsevier Science; Journal Of Non-newtonian Fluid Mechanics; 221; 7-2015; 66-75
0377-0257
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84352
identifier_str_mv Fusi, Lorenzo; Farina, Angiolo; Rosso, Fabio; Roscani, Sabrina Dina; Pressure driven lubrication flow of a Bingham fluid in a channel: A novel approach; Elsevier Science; Journal Of Non-newtonian Fluid Mechanics; 221; 7-2015; 66-75
0377-0257
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0377025715000853
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jnnfm.2015.04.005
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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