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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/189197
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T09:44:30Zoai: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:34982025-09-29 09:44:30.31CONICET 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 |
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CONICET Digital (CONICET) |
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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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13.070432 |