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

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 dis...

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Autores principales:	Darias, José Ramón, Madrid, Marcos Andrés, Pugnaloni, Luis Ariel
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2020
Materias:	Ciencias Exactas Física Granular flows Granular material Dry granular materials Granular fluids Molecular dynamics
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/125208
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-125208
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 Física Granular flows Granular material Dry granular materials Granular fluids Molecular dynamics
spellingShingle	Ciencias Exactas Física Granular flows Granular material Dry granular materials Granular fluids Molecular dynamics Darias, José Ramón Madrid, Marcos Andrés Pugnaloni, Luis Ariel Differential equation for the flow rate of discharging silos based on energy balance
topic_facet	Ciencias Exactas Física Granular flows Granular material Dry granular materials Granular fluids Molecular dynamics
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.
format	Articulo Articulo
author	Darias, José Ramón Madrid, Marcos Andrés Pugnaloni, Luis Ariel
author_facet	Darias, José Ramón Madrid, Marcos Andrés Pugnaloni, Luis Ariel
author_sort	Darias, José Ramón
title	Differential equation for the flow rate of discharging silos based on 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
publishDate	2020
url	http://sedici.unlp.edu.ar/handle/10915/125208
work_keys_str_mv	AT dariasjoseramon differentialequationfortheflowrateofdischargingsilosbasedonenergybalance AT madridmarcosandres differentialequationfortheflowrateofdischargingsilosbasedonenergybalance AT pugnaloniluisariel differentialequationfortheflowrateofdischargingsilosbasedonenergybalance
bdutipo_str	Repositorios
_version_	1764820451378331649

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

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