The Hagen-Beverloo law for outflow of granular solids from holes on side walls

D.A. Serrano,^a F. Sánchez-Silva^a, J. Klapp^b and A. Medina^c

^a ESIME-Zacatenco, Instituto Politécnico Nacional México City 07788, México.

^b Instituto Nacional de Investigaciones Nucleares, La Marquesa Ocoyoacac 52750, Estado de México, México and Departamento de Matemáticas, Cinvestav del I.P.N., México D.F., 07360 México.

^c ESIME-Azcapotzalco, Instituto Politécnico Nacional, Avenida de las Granjas 682, México City 02250, México.

Received 21 January 2015;
accepted 16 Febraury 2015

Abstract

In this work we have analyzed experimentally the lateral mass outflow rate m, for cohesionless granular solids (coarse grains) through circular orifices of diameter D made on side walls of bins. Experiments were performed to determine the influence of the wall thickness of the bin w, and of the grain diameter d on m. Geometrical and physical arguments are given to get a general correlation for m as a function of D, d, and w. This correlation can be termed the Hagen-Beverloo law for orifices on side walls.

Keywords: Mass flow rate; Hagen-Beverloo law; non cohesive granular media.

Resumen

En este trabajo analizamos experimentalmente el flujo másico de salida lateral m para sólidos granulares sin cohesión (granos gruesos) a través de orificios circulares de diámetro D realizados sobre las paredes laterales de los recipientes. Se realizaron experimentos para determinar la influencia del grosor de la pared del recipiente, w, y del diámetro de grano, d, sobre m. Se presentan argumentos geométricos y físicos para obtener una correlación general para m como una función de D, d y w. Tal correlación puede ser llamada la ley de Hagen-Beverloo para orificios laterales.

PACS: 45.70.-n; 45.70.Mg; 45.70.Cc

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Acknowledgements

A.M. acknowledges partial support of project SIP-20141404 from IPN. This work also has been supported by ABACUS, CONACyT grant EDOMEX-2011-C01-165873.

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