Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity

Autores
Gomba, Juan Manuel; Perazzo, Carlos Alberto
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Analytical solutions for the shape of both hanging and sitting droplets under the effects of gravity and surface tension are presented. The modeling also includes the action of molecular forces arising between the liquid and the substrate, which are responsible for the formation of a stable nanometric film in the region close to the droplet contact line. The shape of the droplet is completely described by an analytical solution that also accounts for the pancake-shaped droplets as a limiting case. We find expressions that relate microscopic and nanoscopic aspects, such as the strengths of the molecular forces and the thickness of the nanometric film, to macroscopic quantities, such as the cross-sectional area and the width of the droplet. We study the effect of gravity on the contact angle and find that for small droplets the contact angle follows a power law with the droplet´s size. For sitting droplets we find that the there is an upper limit for the value of the gravity.
Fil: Gomba, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Física Arroyo Seco; Argentina
Fil: Perazzo, Carlos Alberto. Universidad Favaloro. Facultad de Ingeniería y Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Droplets
Disjoining pressure
Morphology
Gotas
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:11336/243953
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Closed-form expression for the profile of partially wetting two-dimensional droplets under gravityGomba, Juan ManuelPerazzo, Carlos AlbertoDropletsDisjoining pressureMorphologyGotashttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Analytical solutions for the shape of both hanging and sitting droplets under the effects of gravity and surface tension are presented. The modeling also includes the action of molecular forces arising between the liquid and the substrate, which are responsible for the formation of a stable nanometric film in the region close to the droplet contact line. The shape of the droplet is completely described by an analytical solution that also accounts for the pancake-shaped droplets as a limiting case. We find expressions that relate microscopic and nanoscopic aspects, such as the strengths of the molecular forces and the thickness of the nanometric film, to macroscopic quantities, such as the cross-sectional area and the width of the droplet. We study the effect of gravity on the contact angle and find that for small droplets the contact angle follows a power law with the droplet´s size. For sitting droplets we find that the there is an upper limit for the value of the gravity.Fil: Gomba, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Física Arroyo Seco; ArgentinaFil: Perazzo, Carlos Alberto. Universidad Favaloro. Facultad de Ingeniería y Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAmerican Physical Society2012-12info: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/11336/243953Gomba, Juan Manuel; Perazzo, Carlos Alberto; Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 5; 12-2012; 56310-563181539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://pre.aps.org/abstract/PRE/v86/i5/e056310info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.86.056310info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:03:02Zoai:ri.conicet.gov.ar:11336/243953instacron: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 10:03:02.49CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity
title Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity
spellingShingle Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity
Gomba, Juan Manuel
Droplets
Disjoining pressure
Morphology
Gotas
title_short Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity
title_full Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity
title_fullStr Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity
title_full_unstemmed Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity
title_sort Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity
dc.creator.none.fl_str_mv Gomba, Juan Manuel
Perazzo, Carlos Alberto
author Gomba, Juan Manuel
author_facet Gomba, Juan Manuel
Perazzo, Carlos Alberto
author_role author
author2 Perazzo, Carlos Alberto
author2_role author
dc.subject.none.fl_str_mv Droplets
Disjoining pressure
Morphology
Gotas
topic Droplets
Disjoining pressure
Morphology
Gotas
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Analytical solutions for the shape of both hanging and sitting droplets under the effects of gravity and surface tension are presented. The modeling also includes the action of molecular forces arising between the liquid and the substrate, which are responsible for the formation of a stable nanometric film in the region close to the droplet contact line. The shape of the droplet is completely described by an analytical solution that also accounts for the pancake-shaped droplets as a limiting case. We find expressions that relate microscopic and nanoscopic aspects, such as the strengths of the molecular forces and the thickness of the nanometric film, to macroscopic quantities, such as the cross-sectional area and the width of the droplet. We study the effect of gravity on the contact angle and find that for small droplets the contact angle follows a power law with the droplet´s size. For sitting droplets we find that the there is an upper limit for the value of the gravity.
Fil: Gomba, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Instituto de Física Arroyo Seco; Argentina
Fil: Perazzo, Carlos Alberto. Universidad Favaloro. Facultad de Ingeniería y Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Analytical solutions for the shape of both hanging and sitting droplets under the effects of gravity and surface tension are presented. The modeling also includes the action of molecular forces arising between the liquid and the substrate, which are responsible for the formation of a stable nanometric film in the region close to the droplet contact line. The shape of the droplet is completely described by an analytical solution that also accounts for the pancake-shaped droplets as a limiting case. We find expressions that relate microscopic and nanoscopic aspects, such as the strengths of the molecular forces and the thickness of the nanometric film, to macroscopic quantities, such as the cross-sectional area and the width of the droplet. We study the effect of gravity on the contact angle and find that for small droplets the contact angle follows a power law with the droplet´s size. For sitting droplets we find that the there is an upper limit for the value of the gravity.
publishDate 2012
dc.date.none.fl_str_mv 2012-12
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/11336/243953
Gomba, Juan Manuel; Perazzo, Carlos Alberto; Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 5; 12-2012; 56310-56318
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/243953
identifier_str_mv Gomba, Juan Manuel; Perazzo, Carlos Alberto; Closed-form expression for the profile of partially wetting two-dimensional droplets under gravity; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 86; 5; 12-2012; 56310-56318
1539-3755
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://pre.aps.org/abstract/PRE/v86/i5/e056310
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.86.056310
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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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