A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule

Autores
Madrid, Marcos Andres; Darias González, José Ramón; Pugnaloni, Luis Ariel
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a differential equation for the flow rate of granular materials during the discharge of a silo. This is based in the energy balance of the variable mass system in contrast with the traditional derivations based on heuristic postulates such as the free fall arch. We show that this new equation is consistent with the well known Beverloo rule, providing an independent estimate for the universal Beverloo prefactor. We also find an analytic expression for the pressure under discharging conditions.
Fil: Madrid, Marcos Andres. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Darias González, José Ramón. Universidad Simón Bolívar; Venezuela
Fil: Pugnaloni, Luis Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Tecnológica Nacional; Argentina
Materia
GRANULAR MATTER
SILO DISCHARGE
BEVERLOO'S RULE
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:11336/56772
Acceder
id CONICETDig_483bcf72759d774563e86371fcca154b
oai_identifier_str oai:ri.conicet.gov.ar:11336/56772
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A differential equation for the flow rate during silo discharge: Beyond the Beverloo ruleMadrid, Marcos AndresDarias González, José RamónPugnaloni, Luis ArielGRANULAR MATTERSILO DISCHARGEBEVERLOO'S RULEhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a differential equation for the flow rate of granular materials during the discharge of a silo. This is based in the energy balance of the variable mass system in contrast with the traditional derivations based on heuristic postulates such as the free fall arch. We show that this new equation is consistent with the well known Beverloo rule, providing an independent estimate for the universal Beverloo prefactor. We also find an analytic expression for the pressure under discharging conditions.Fil: Madrid, Marcos Andres. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Tecnológica Nacional; ArgentinaFil: Darias González, José Ramón. Universidad Simón Bolívar; VenezuelaFil: Pugnaloni, Luis Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Tecnológica Nacional; ArgentinaEDP Sciences2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/56772Madrid, Marcos Andres; Darias González, José Ramón; Pugnaloni, Luis Ariel; A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule; EDP Sciences; EPJ Web of Conferences; 140; 6-2017; 1-42100-014XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1051/epjconf/201714003041info:eu-repo/semantics/altIdentifier/url/https://www.epj-conferences.org/articles/epjconf/abs/2017/09/epjconf162301/epjconf162301.htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T12:32:12Zoai:ri.conicet.gov.ar:11336/56772instacron: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:34982025-10-29 12:32:13.112CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule
title A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule
spellingShingle A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule
Madrid, Marcos Andres
GRANULAR MATTER
SILO DISCHARGE
BEVERLOO'S RULE
title_short A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule
title_full A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule
title_fullStr A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule
title_full_unstemmed A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule
title_sort A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule
dc.creator.none.fl_str_mv Madrid, Marcos Andres
Darias González, José Ramón
Pugnaloni, Luis Ariel
author Madrid, Marcos Andres
author_facet Madrid, Marcos Andres
Darias González, José Ramón
Pugnaloni, Luis Ariel
author_role author
author2 Darias González, José Ramón
Pugnaloni, Luis Ariel
author2_role author
author
dc.subject.none.fl_str_mv GRANULAR MATTER
SILO DISCHARGE
BEVERLOO'S RULE
topic GRANULAR MATTER
SILO DISCHARGE
BEVERLOO'S RULE
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 present a differential equation for the flow rate of granular materials during the discharge of a silo. This is based in the energy balance of the variable mass system in contrast with the traditional derivations based on heuristic postulates such as the free fall arch. We show that this new equation is consistent with the well known Beverloo rule, providing an independent estimate for the universal Beverloo prefactor. We also find an analytic expression for the pressure under discharging conditions.
Fil: Madrid, Marcos Andres. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Darias González, José Ramón. Universidad Simón Bolívar; Venezuela
Fil: Pugnaloni, Luis Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Tecnológica Nacional; Argentina
description We present a differential equation for the flow rate of granular materials during the discharge of a silo. This is based in the energy balance of the variable mass system in contrast with the traditional derivations based on heuristic postulates such as the free fall arch. We show that this new equation is consistent with the well known Beverloo rule, providing an independent estimate for the universal Beverloo prefactor. We also find an analytic expression for the pressure under discharging conditions.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
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/11336/56772
Madrid, Marcos Andres; Darias González, José Ramón; Pugnaloni, Luis Ariel; A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule; EDP Sciences; EPJ Web of Conferences; 140; 6-2017; 1-4
2100-014X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/56772
identifier_str_mv Madrid, Marcos Andres; Darias González, José Ramón; Pugnaloni, Luis Ariel; A differential equation for the flow rate during silo discharge: Beyond the Beverloo rule; EDP Sciences; EPJ Web of Conferences; 140; 6-2017; 1-4
2100-014X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1051/epjconf/201714003041
info:eu-repo/semantics/altIdentifier/url/https://www.epj-conferences.org/articles/epjconf/abs/2017/09/epjconf162301/epjconf162301.html
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 EDP Sciences
publisher.none.fl_str_mv EDP Sciences
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
_version_ 1847427276024578048
score 13.10058

Publicaciones similares