Navier-Stokes solutions for steady parallel-sided pendent rivulets

Autores
Tanasijczuk, Andres Jorge; Perazzo, Carlos Alberto; Gratton, Julio
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate exact solutions of the NavierStokes equations for steady rectilinear pendent rivulets running under inclined surfaces. First we show how to find exact solutions for sessile or hanging rivulets for any profile of the substrate (transversally to the direction of flow) and with no restrictions on the contact angles. The free surface is a cylindrical meniscus whose shape is determined by the static equilibrium between gravity and surface tension, by the shape of the solid surface, and by the contact angles on both contact lines. Given this, the velocity field can be obtained by integrating numerically a Poisson equation. We then perform a systematic study of rivulets hanging below an inclined plane, computing some of their global properties, and discussing their stability.
Fil: Tanasijczuk, Andres Jorge. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; Argentina
Fil: Perazzo, Carlos Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Favaloro; Argentina
Fil: Gratton, Julio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; Argentina
Materia
NAVIERSTOKES EQUATIONS
PARALLEL FLOW
PENDENT RIVULET
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:11336/189197
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Navier-Stokes solutions for steady parallel-sided pendent rivuletsTanasijczuk, Andres JorgePerazzo, Carlos AlbertoGratton, JulioNAVIERSTOKES EQUATIONSPARALLEL FLOWPENDENT RIVULEThttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We investigate exact solutions of the NavierStokes equations for steady rectilinear pendent rivulets running under inclined surfaces. First we show how to find exact solutions for sessile or hanging rivulets for any profile of the substrate (transversally to the direction of flow) and with no restrictions on the contact angles. The free surface is a cylindrical meniscus whose shape is determined by the static equilibrium between gravity and surface tension, by the shape of the solid surface, and by the contact angles on both contact lines. Given this, the velocity field can be obtained by integrating numerically a Poisson equation. We then perform a systematic study of rivulets hanging below an inclined plane, computing some of their global properties, and discussing their stability.Fil: Tanasijczuk, Andres Jorge. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; ArgentinaFil: Perazzo, Carlos Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Favaloro; ArgentinaFil: Gratton, Julio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; ArgentinaGauthier-Villars/Editions Elsevier2010-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/189197Tanasijczuk, Andres Jorge; Perazzo, Carlos Alberto; Gratton, Julio; Navier-Stokes solutions for steady parallel-sided pendent rivulets; Gauthier-Villars/Editions Elsevier; European Journal of Mechanics B-fluids; 29; 6; 11-2010; 465-4710997-7546CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0997754610000592info:eu-repo/semantics/altIdentifier/doi/10.1016/j.euromechflu.2010.06.002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:13:17Zoai:ri.conicet.gov.ar:11336/189197instacron: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:34982025-10-22 11:13:17.606CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Navier-Stokes solutions for steady parallel-sided pendent rivulets
title Navier-Stokes solutions for steady parallel-sided pendent rivulets
spellingShingle Navier-Stokes solutions for steady parallel-sided pendent rivulets
Tanasijczuk, Andres Jorge
NAVIERSTOKES EQUATIONS
PARALLEL FLOW
PENDENT RIVULET
title_short Navier-Stokes solutions for steady parallel-sided pendent rivulets
title_full Navier-Stokes solutions for steady parallel-sided pendent rivulets
title_fullStr Navier-Stokes solutions for steady parallel-sided pendent rivulets
title_full_unstemmed Navier-Stokes solutions for steady parallel-sided pendent rivulets
title_sort Navier-Stokes solutions for steady parallel-sided pendent rivulets
dc.creator.none.fl_str_mv Tanasijczuk, Andres Jorge
Perazzo, Carlos Alberto
Gratton, Julio
author Tanasijczuk, Andres Jorge
author_facet Tanasijczuk, Andres Jorge
Perazzo, Carlos Alberto
Gratton, Julio
author_role author
author2 Perazzo, Carlos Alberto
Gratton, Julio
author2_role author
author
dc.subject.none.fl_str_mv NAVIERSTOKES EQUATIONS
PARALLEL FLOW
PENDENT RIVULET
topic NAVIERSTOKES EQUATIONS
PARALLEL FLOW
PENDENT RIVULET
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We investigate exact solutions of the NavierStokes equations for steady rectilinear pendent rivulets running under inclined surfaces. First we show how to find exact solutions for sessile or hanging rivulets for any profile of the substrate (transversally to the direction of flow) and with no restrictions on the contact angles. The free surface is a cylindrical meniscus whose shape is determined by the static equilibrium between gravity and surface tension, by the shape of the solid surface, and by the contact angles on both contact lines. Given this, the velocity field can be obtained by integrating numerically a Poisson equation. We then perform a systematic study of rivulets hanging below an inclined plane, computing some of their global properties, and discussing their stability.
Fil: Tanasijczuk, Andres Jorge. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires; Argentina
Fil: Perazzo, Carlos Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Favaloro; Argentina
Fil: Gratton, Julio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física del Plasma. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física del Plasma; Argentina
description We investigate exact solutions of the NavierStokes equations for steady rectilinear pendent rivulets running under inclined surfaces. First we show how to find exact solutions for sessile or hanging rivulets for any profile of the substrate (transversally to the direction of flow) and with no restrictions on the contact angles. The free surface is a cylindrical meniscus whose shape is determined by the static equilibrium between gravity and surface tension, by the shape of the solid surface, and by the contact angles on both contact lines. Given this, the velocity field can be obtained by integrating numerically a Poisson equation. We then perform a systematic study of rivulets hanging below an inclined plane, computing some of their global properties, and discussing their stability.
publishDate 2010
dc.date.none.fl_str_mv 2010-11
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/11336/189197
Tanasijczuk, Andres Jorge; Perazzo, Carlos Alberto; Gratton, Julio; Navier-Stokes solutions for steady parallel-sided pendent rivulets; Gauthier-Villars/Editions Elsevier; European Journal of Mechanics B-fluids; 29; 6; 11-2010; 465-471
0997-7546
CONICET Digital
CONICET
url http://hdl.handle.net/11336/189197
identifier_str_mv Tanasijczuk, Andres Jorge; Perazzo, Carlos Alberto; Gratton, Julio; Navier-Stokes solutions for steady parallel-sided pendent rivulets; Gauthier-Villars/Editions Elsevier; European Journal of Mechanics B-fluids; 29; 6; 11-2010; 465-471
0997-7546
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/S0997754610000592
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.euromechflu.2010.06.002
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
application/pdf
dc.publisher.none.fl_str_mv Gauthier-Villars/Editions Elsevier
publisher.none.fl_str_mv Gauthier-Villars/Editions Elsevier
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 12.982451

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