Differential equation for the flow rate of discharging silos based on energy balance

Autores
Darias, José Ramón; Madrid, Marcos A.; Pugnaloni, Luis
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Since the early work of Hagen in 1852 and Beverloo et al. in 1961, the flow rate of granular material discharging through a circular orifice from a silo has been described by means of dimensional analysis and experimental fits, and explained through the “free fall arch” model. Here, in contrast with the traditional approach, we derive a differential equation based on the energy balance of the system. This equation is consistent with the well known Beverloo rule thanks to a compensation of energy terms. Moreover, this new equation can be used to explore new conditions for silo discharges. In particular, we show how the effect of friction on the flow rate can be predicted. The theory is validated using discrete element method simulations.
Fil: Darias, José. Universidad Simón Bolívar. Laboratorio de Óptica y Fluidos; Venezuela.
Fil: Madrid, Marcos. Universidad Tecnológica Nacional. Facultad Regional La Plata. Departamento de Ingeniería Mecánica. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Madrid, Marcos. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física de Líquidos y Sistemas Biológicos. La Plata; Argentina.
Fil: Pugnaloni, Luis. Universidad Nacional de La Pampa, Departamento de Física, Facultad de Ciencias Exactas y Naturales. Consejo Nacional de Investigaciones Científicas y Técnicas, La Pampa, Argentina.
Peer Reviewed
Fuente
J. R. Darias, Marcos A. Madrid, and Luis A. Pugnaloni Phys. Rev. E 101, 052905 (2020)
Materia
Numerical simulations
Flow rate
Energy balance
Nivel de accesibilidad
acceso abierto
Condiciones de uso
2024-04-24T16:29:04Z
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/10627
Acceder
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network_acronym_str RIAUTN
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network_name_str Repositorio Institucional Abierto (UTN)
spelling Differential equation for the flow rate of discharging silos based on energy balanceDarias, José RamónMadrid, Marcos A.Pugnaloni, LuisNumerical simulationsFlow rateEnergy balanceSince the early work of Hagen in 1852 and Beverloo et al. in 1961, the flow rate of granular material discharging through a circular orifice from a silo has been described by means of dimensional analysis and experimental fits, and explained through the “free fall arch” model. Here, in contrast with the traditional approach, we derive a differential equation based on the energy balance of the system. This equation is consistent with the well known Beverloo rule thanks to a compensation of energy terms. Moreover, this new equation can be used to explore new conditions for silo discharges. In particular, we show how the effect of friction on the flow rate can be predicted. The theory is validated using discrete element method simulations.Fil: Darias, José. Universidad Simón Bolívar. Laboratorio de Óptica y Fluidos; Venezuela.Fil: Madrid, Marcos. Universidad Tecnológica Nacional. Facultad Regional La Plata. Departamento de Ingeniería Mecánica. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Fil: Madrid, Marcos. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física de Líquidos y Sistemas Biológicos. La Plata; Argentina.Fil: Pugnaloni, Luis. Universidad Nacional de La Pampa, Departamento de Física, Facultad de Ciencias Exactas y Naturales. Consejo Nacional de Investigaciones Científicas y Técnicas, La Pampa, Argentina.Peer Reviewed2024-04-24T16:29:04Z2024-04-24T16:29:04Z2020-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articulopdfapplication/pdfhttp://hdl.handle.net/20.500.12272/10627https://doi.org/10.1103/PhysRevE.101.052905J. R. Darias, Marcos A. Madrid, and Luis A. Pugnaloni Phys. Rev. E 101, 052905 (2020)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacionalengenginfo:eu-repo/semantics/openAccess2024-04-24T16:29:04Zhttp://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 InternacionalAtribución (Attribution): En cualquier explotación de la obra autorizada por la licencia será necesario reconocer la autoría (obligatoria en todos los casos). No comercial (Non Commercial): La explotación de la obra queda limitada a usos no comerciales. Sin obras derivadas (No Derivate Works): La autorización para explotar la obra no incluye la posibilidad de crear una obra derivada (traducciones, adaptaciones, etc.).2026-09-24T12:46:15Zoai:ria.utn.edu.ar:20.500.12272/10627instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-09-24 12:46:17.754Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Differential equation for the flow rate of discharging silos based on energy balance
title Differential equation for the flow rate of discharging silos based on energy balance
spellingShingle Differential equation for the flow rate of discharging silos based on energy balance
Darias, José Ramón
Numerical simulations
Flow rate
Energy balance
title_short Differential equation for the flow rate of discharging silos based on energy balance
title_full Differential equation for the flow rate of discharging silos based on energy balance
title_fullStr Differential equation for the flow rate of discharging silos based on energy balance
title_full_unstemmed Differential equation for the flow rate of discharging silos based on energy balance
title_sort Differential equation for the flow rate of discharging silos based on energy balance
dc.creator.none.fl_str_mv Darias, José Ramón
Madrid, Marcos A.
Pugnaloni, Luis
author Darias, José Ramón
author_facet Darias, José Ramón
Madrid, Marcos A.
Pugnaloni, Luis
author_role author
author2 Madrid, Marcos A.
Pugnaloni, Luis
author2_role author
author
dc.subject.none.fl_str_mv Numerical simulations
Flow rate
Energy balance
topic Numerical simulations
Flow rate
Energy balance
dc.description.none.fl_txt_mv Since the early work of Hagen in 1852 and Beverloo et al. in 1961, the flow rate of granular material discharging through a circular orifice from a silo has been described by means of dimensional analysis and experimental fits, and explained through the “free fall arch” model. Here, in contrast with the traditional approach, we derive a differential equation based on the energy balance of the system. This equation is consistent with the well known Beverloo rule thanks to a compensation of energy terms. Moreover, this new equation can be used to explore new conditions for silo discharges. In particular, we show how the effect of friction on the flow rate can be predicted. The theory is validated using discrete element method simulations.
Fil: Darias, José. Universidad Simón Bolívar. Laboratorio de Óptica y Fluidos; Venezuela.
Fil: Madrid, Marcos. Universidad Tecnológica Nacional. Facultad Regional La Plata. Departamento de Ingeniería Mecánica. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Madrid, Marcos. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física de Líquidos y Sistemas Biológicos. La Plata; Argentina.
Fil: Pugnaloni, Luis. Universidad Nacional de La Pampa, Departamento de Física, Facultad de Ciencias Exactas y Naturales. Consejo Nacional de Investigaciones Científicas y Técnicas, La Pampa, Argentina.
Peer Reviewed
description Since the early work of Hagen in 1852 and Beverloo et al. in 1961, the flow rate of granular material discharging through a circular orifice from a silo has been described by means of dimensional analysis and experimental fits, and explained through the “free fall arch” model. Here, in contrast with the traditional approach, we derive a differential equation based on the energy balance of the system. This equation is consistent with the well known Beverloo rule thanks to a compensation of energy terms. Moreover, this new equation can be used to explore new conditions for silo discharges. In particular, we show how the effect of friction on the flow rate can be predicted. The theory is validated using discrete element method simulations.
publishDate 2020
dc.date.none.fl_str_mv 2020-05
2024-04-24T16:29:04Z
2024-04-24T16:29:04Z
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/20.500.12272/10627
https://doi.org/10.1103/PhysRevE.101.052905
url http://hdl.handle.net/20.500.12272/10627
https://doi.org/10.1103/PhysRevE.101.052905
dc.language.none.fl_str_mv eng
eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
2024-04-24T16:29:04Z
http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Atribución (Attribution): En cualquier explotación de la obra autorizada por la licencia será necesario reconocer la autoría (obligatoria en todos los casos). No comercial (Non Commercial): La explotación de la obra queda limitada a usos no comerciales. Sin obras derivadas (No Derivate Works): La autorización para explotar la obra no incluye la posibilidad de crear una obra derivada (traducciones, adaptaciones, etc.).
eu_rights_str_mv openAccess
rights_invalid_str_mv 2024-04-24T16:29:04Z
http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Atribución (Attribution): En cualquier explotación de la obra autorizada por la licencia será necesario reconocer la autoría (obligatoria en todos los casos). No comercial (Non Commercial): La explotación de la obra queda limitada a usos no comerciales. Sin obras derivadas (No Derivate Works): La autorización para explotar la obra no incluye la posibilidad de crear una obra derivada (traducciones, adaptaciones, etc.).
dc.format.none.fl_str_mv pdf
application/pdf
dc.source.none.fl_str_mv J. R. Darias, Marcos A. Madrid, and Luis A. Pugnaloni Phys. Rev. E 101, 052905 (2020)
reponame:Repositorio Institucional Abierto (UTN)
instname:Universidad Tecnológica Nacional
reponame_str Repositorio Institucional Abierto (UTN)
collection Repositorio Institucional Abierto (UTN)
instname_str Universidad Tecnológica Nacional
repository.name.fl_str_mv Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional
repository.mail.fl_str_mv gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar
_version_ 1877230918672842752
score 13.265058

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