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, Darias, José, Pugnaloni, Luis
Formato: Documento de conferencia publishedVersion docunento de conferencia
Lenguaje:Inglés
Inglés
Publicado: EPJ Web of Conferences 2018
Materias:
silo discharge; Beyond the Beverloo rule
Acceso en línea:http://hdl.handle.net/20.500.12272/2800
Aporte de:
RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional
id I68-R174-20.500.12272-2800
record_format dspace
institution Universidad Tecnológica Nacional
institution_str I-68
repository_str R-174
collection RIA - Repositorio Institucional Abierto (UTN)
language Inglés
Inglés
topic silo discharge; Beyond the Beverloo rule
spellingShingle silo discharge; Beyond the Beverloo rule
Madrid, Marcos
Darias, José
Pugnaloni, Luis
A differential equation for the flow rate during silo discharge Beyond the Beverloo rule
topic_facet silo discharge; Beyond the Beverloo rule
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 Documento de conferencia
publishedVersion
docunento de conferencia
author Madrid, Marcos
Darias, José
Pugnaloni, Luis
author_facet Madrid, Marcos
Darias, José
Pugnaloni, Luis
author_sort Madrid, Marcos
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
publisher EPJ Web of Conferences
publishDate 2018
url http://hdl.handle.net/20.500.12272/2800
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