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

Autores
Madrid, Marcos Andrés; Darias, José R.; 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.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Energy balance
Beverloo rule
Discharge of grains
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/103402
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/103402
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling A differential equation for the flow rate during silo discharge : Beyond the Beverloo ruleMadrid, Marcos AndrésDarias, José R.Pugnaloni, Luis ArielCiencias ExactasEnergy balanceBeverloo ruleDischarge of grainsWe 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.Facultad de Ciencias Exactas2017-06-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1-4http://sedici.unlp.edu.ar/handle/10915/103402enginfo:eu-repo/semantics/altIdentifier/url/https://www.epj-conferences.org/articles/epjconf/pdf/2017/09/epjconf162301.pdfinfo:eu-repo/semantics/altIdentifier/issn/2100-014Xinfo:eu-repo/semantics/altIdentifier/doi/10.1051/epjconf/201714003041info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-11-05T13:01:49Zoai:sedici.unlp.edu.ar:10915/103402Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-11-05 13:01:49.389SEDICI (UNLP) - Universidad Nacional de La Platafalse
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 Andrés
Ciencias Exactas
Energy balance
Beverloo rule
Discharge of grains
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 Andrés
Darias, José R.
Pugnaloni, Luis Ariel
author Madrid, Marcos Andrés
author_facet Madrid, Marcos Andrés
Darias, José R.
Pugnaloni, Luis Ariel
author_role author
author2 Darias, José R.
Pugnaloni, Luis Ariel
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Energy balance
Beverloo rule
Discharge of grains
topic Ciencias Exactas
Energy balance
Beverloo rule
Discharge of grains
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.
Facultad de Ciencias Exactas
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 2017-06-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/103402
url http://sedici.unlp.edu.ar/handle/10915/103402
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.epj-conferences.org/articles/epjconf/pdf/2017/09/epjconf162301.pdf
info:eu-repo/semantics/altIdentifier/issn/2100-014X
info:eu-repo/semantics/altIdentifier/doi/10.1051/epjconf/201714003041
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
1-4
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 12.61048

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