Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water

Autores
Martino, Román Gustavo; Paterson, Agnes; Piva, Marcelo Fabian
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, the transient regime of motion of a sphere, that falls along an inclined smooth plane, submerged in still water, is studied experimentally and analytically. Several experiments were performed, with spheres of different diameters and densities, and two slope angles. The measurements show that the motion of the sphere presents two well defined stages: a transitional regime, where the sphere rapidly accelerates from rest, and an asymptotic regime, where the sphere moves with constant velocity. Closed expressions, for the position and velocity of the sphere as functions of time, are obtained by direct integration of the motion equations. This theoretical analysis is based on the empirical correlation for the drag coefficient as a function of the Reynolds number of the sphere, that was proposed by Chhabra and Ferreira [2] for the experimental data set of Jan and Chen [1]. The analytical solution shows good agreement with experimental results, for a wide range of experimental conditions.
Fil: Martino, Román Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina
Fil: Paterson, Agnes. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Hidráulica; Argentina
Fil: Piva, Marcelo Fabian. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina
Materia
ACCELERATED MOTION
ROLLING SPHERE
SUBMERGED INCLINED PLANE
TERMINAL VELOCITY
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:11336/112696
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/112696
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Experimental and analytical study of the motion of a sphere falling along an inclined plane in still waterMartino, Román GustavoPaterson, AgnesPiva, Marcelo FabianACCELERATED MOTIONROLLING SPHERESUBMERGED INCLINED PLANETERMINAL VELOCITYhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2In this work, the transient regime of motion of a sphere, that falls along an inclined smooth plane, submerged in still water, is studied experimentally and analytically. Several experiments were performed, with spheres of different diameters and densities, and two slope angles. The measurements show that the motion of the sphere presents two well defined stages: a transitional regime, where the sphere rapidly accelerates from rest, and an asymptotic regime, where the sphere moves with constant velocity. Closed expressions, for the position and velocity of the sphere as functions of time, are obtained by direct integration of the motion equations. This theoretical analysis is based on the empirical correlation for the drag coefficient as a function of the Reynolds number of the sphere, that was proposed by Chhabra and Ferreira [2] for the experimental data set of Jan and Chen [1]. The analytical solution shows good agreement with experimental results, for a wide range of experimental conditions.Fil: Martino, Román Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; ArgentinaFil: Paterson, Agnes. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Hidráulica; ArgentinaFil: Piva, Marcelo Fabian. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; ArgentinaElsevier Science Sa2015-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/112696Martino, Román Gustavo; Paterson, Agnes; Piva, Marcelo Fabian; Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water; Elsevier Science Sa; Powder Technology; 283; 8-2015; 227-2330032-5910CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.powtec.2015.05.022info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0032591015004088info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:18:37Zoai:ri.conicet.gov.ar:11336/112696instacron: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 10:18:37.379CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water
title Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water
spellingShingle Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water
Martino, Román Gustavo
ACCELERATED MOTION
ROLLING SPHERE
SUBMERGED INCLINED PLANE
TERMINAL VELOCITY
title_short Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water
title_full Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water
title_fullStr Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water
title_full_unstemmed Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water
title_sort Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water
dc.creator.none.fl_str_mv Martino, Román Gustavo
Paterson, Agnes
Piva, Marcelo Fabian
author Martino, Román Gustavo
author_facet Martino, Román Gustavo
Paterson, Agnes
Piva, Marcelo Fabian
author_role author
author2 Paterson, Agnes
Piva, Marcelo Fabian
author2_role author
author
dc.subject.none.fl_str_mv ACCELERATED MOTION
ROLLING SPHERE
SUBMERGED INCLINED PLANE
TERMINAL VELOCITY
topic ACCELERATED MOTION
ROLLING SPHERE
SUBMERGED INCLINED PLANE
TERMINAL VELOCITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv In this work, the transient regime of motion of a sphere, that falls along an inclined smooth plane, submerged in still water, is studied experimentally and analytically. Several experiments were performed, with spheres of different diameters and densities, and two slope angles. The measurements show that the motion of the sphere presents two well defined stages: a transitional regime, where the sphere rapidly accelerates from rest, and an asymptotic regime, where the sphere moves with constant velocity. Closed expressions, for the position and velocity of the sphere as functions of time, are obtained by direct integration of the motion equations. This theoretical analysis is based on the empirical correlation for the drag coefficient as a function of the Reynolds number of the sphere, that was proposed by Chhabra and Ferreira [2] for the experimental data set of Jan and Chen [1]. The analytical solution shows good agreement with experimental results, for a wide range of experimental conditions.
Fil: Martino, Román Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina
Fil: Paterson, Agnes. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Hidráulica; Argentina
Fil: Piva, Marcelo Fabian. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Física. Grupo de Medios Porosos; Argentina
description In this work, the transient regime of motion of a sphere, that falls along an inclined smooth plane, submerged in still water, is studied experimentally and analytically. Several experiments were performed, with spheres of different diameters and densities, and two slope angles. The measurements show that the motion of the sphere presents two well defined stages: a transitional regime, where the sphere rapidly accelerates from rest, and an asymptotic regime, where the sphere moves with constant velocity. Closed expressions, for the position and velocity of the sphere as functions of time, are obtained by direct integration of the motion equations. This theoretical analysis is based on the empirical correlation for the drag coefficient as a function of the Reynolds number of the sphere, that was proposed by Chhabra and Ferreira [2] for the experimental data set of Jan and Chen [1]. The analytical solution shows good agreement with experimental results, for a wide range of experimental conditions.
publishDate 2015
dc.date.none.fl_str_mv 2015-08
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/11336/112696
Martino, Román Gustavo; Paterson, Agnes; Piva, Marcelo Fabian; Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water; Elsevier Science Sa; Powder Technology; 283; 8-2015; 227-233
0032-5910
CONICET Digital
CONICET
url http://hdl.handle.net/11336/112696
identifier_str_mv Martino, Román Gustavo; Paterson, Agnes; Piva, Marcelo Fabian; Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water; Elsevier Science Sa; Powder Technology; 283; 8-2015; 227-233
0032-5910
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.powtec.2015.05.022
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0032591015004088
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 Sa
publisher.none.fl_str_mv Elsevier Science Sa
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 13.070432

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