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

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 equa...

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Autores principales: Madrid, Marcos Andrés, Darias, José R., Pugnaloni, Luis Ariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/103402
https://www.epj-conferences.org/articles/epjconf/pdf/2017/09/epjconf162301.pdf
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id I19-R120-10915-103402
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Energy balance
Beverloo rule
Discharge of grains
spellingShingle Ciencias Exactas
Energy balance
Beverloo rule
Discharge of grains
Madrid, Marcos Andrés
Darias, José R.
Pugnaloni, Luis Ariel
A differential equation for the flow rate during silo discharge : Beyond the Beverloo rule
topic_facet Ciencias Exactas
Energy balance
Beverloo rule
Discharge of grains
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.
format Articulo
Articulo
author Madrid, Marcos Andrés
Darias, José R.
Pugnaloni, Luis Ariel
author_facet Madrid, Marcos Andrés
Darias, José R.
Pugnaloni, Luis Ariel
author_sort Madrid, Marcos Andrés
title A differential equation for the flow rate during silo discharge : Beyond the Beverloo 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 differential equation for the flow rate during silo discharge : beyond the beverloo rule
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/103402
https://www.epj-conferences.org/articles/epjconf/pdf/2017/09/epjconf162301.pdf
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