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

Autores
Darias, José Ramón; Madrid, Marcos Andrés; Pugnaloni, Luis Ariel
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Since the early work of Hagen [G. H. L. Hagen, Ber. Verhandl. K. Preuss. Akad. Wiss. Berlin 17, 35 (1852)] and Beverloo et al. [W. Beverloo et al., Chem. Eng. Sci. 15, 260 (1961)CESCAC0009-250910.1016/0009-2509(61)85030-6], 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 to 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 due to a compensation of energy terms. Moreover, this equation can be used to explore different 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.
Facultad de Ciencias Exactas
Instituto de Física de Líquidos y Sistemas Biológicos
Materia
Ciencias Exactas
Física
Granular flows
Granular material
Dry granular materials
Granular fluids
Molecular dynamics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/125208
Acceder
id SEDICI_22042c96b35500cffb7a813c779cb66b
oai_identifier_str oai:sedici.unlp.edu.ar:10915/125208
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Differential equation for the flow rate of discharging silos based on energy balanceDarias, José RamónMadrid, Marcos AndrésPugnaloni, Luis ArielCiencias ExactasFísicaGranular flowsGranular materialDry granular materialsGranular fluidsMolecular dynamicsSince the early work of Hagen [G. H. L. Hagen, Ber. Verhandl. K. Preuss. Akad. Wiss. Berlin 17, 35 (1852)] and Beverloo <i>et al.</i> [W. Beverloo <i>et al.</i>, Chem. Eng. Sci. 15, 260 (1961)CESCAC0009-250910.1016/0009-2509(61)85030-6], 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 to 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 due to a compensation of energy terms. Moreover, this equation can be used to explore different 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.Facultad de Ciencias ExactasInstituto de Física de Líquidos y Sistemas Biológicos2020-05-14info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/125208enginfo:eu-repo/semantics/altIdentifier/issn/2470-0045info:eu-repo/semantics/altIdentifier/issn/2470-0053info:eu-repo/semantics/altIdentifier/arxiv/2005.07042v1info:eu-repo/semantics/altIdentifier/doi/10.1103/physreve.101.052905info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:29:54Zoai:sedici.unlp.edu.ar:10915/125208Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:29:54.597SEDICI (UNLP) - Universidad Nacional de La Platafalse
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
Ciencias Exactas
Física
Granular flows
Granular material
Dry granular materials
Granular fluids
Molecular dynamics
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 Andrés
Pugnaloni, Luis Ariel
author Darias, José Ramón
author_facet Darias, José Ramón
Madrid, Marcos Andrés
Pugnaloni, Luis Ariel
author_role author
author2 Madrid, Marcos Andrés
Pugnaloni, Luis Ariel
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Granular flows
Granular material
Dry granular materials
Granular fluids
Molecular dynamics
topic Ciencias Exactas
Física
Granular flows
Granular material
Dry granular materials
Granular fluids
Molecular dynamics
dc.description.none.fl_txt_mv Since the early work of Hagen [G. H. L. Hagen, Ber. Verhandl. K. Preuss. Akad. Wiss. Berlin 17, 35 (1852)] and Beverloo <i>et al.</i> [W. Beverloo <i>et al.</i>, Chem. Eng. Sci. 15, 260 (1961)CESCAC0009-250910.1016/0009-2509(61)85030-6], 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 to 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 due to a compensation of energy terms. Moreover, this equation can be used to explore different 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.
Facultad de Ciencias Exactas
Instituto de Física de Líquidos y Sistemas Biológicos
description Since the early work of Hagen [G. H. L. Hagen, Ber. Verhandl. K. Preuss. Akad. Wiss. Berlin 17, 35 (1852)] and Beverloo <i>et al.</i> [W. Beverloo <i>et al.</i>, Chem. Eng. Sci. 15, 260 (1961)CESCAC0009-250910.1016/0009-2509(61)85030-6], 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 to 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 due to a compensation of energy terms. Moreover, this equation can be used to explore different 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 2020-05-14
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/10915/125208
url http://sedici.unlp.edu.ar/handle/10915/125208
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2470-0045
info:eu-repo/semantics/altIdentifier/issn/2470-0053
info:eu-repo/semantics/altIdentifier/arxiv/2005.07042v1
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreve.101.052905
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
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 13.070432

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