On the validity of the Hagen and Beverloo formulas for grains discharge through thin sidewalls of bins

Authors

  • D. A. Serrano Departamento de Física, Facultad de Ciencias, UNAM
  • G. Ruiz- Chavarria Departamento de Física, Facultad de Ciencias, UNAM
  • M. Pliego Diaz DCB, Instituto Tecnológico de Querétaro,
  • C. A. Vargas Laboratorio de Sistemas Complejos, Departamento de Ciencias Básicas,
  • and A. Medina Ovando ESIME Azcapotzalco, Instituto Politécnico Nacional. ETSIAE, Universidad Politécnica de Madrid,

DOI:

https://doi.org/10.31349/RevMexFis.65.139

Keywords:

Granular media, Hagen formula, Berverloo formula, angle of repose

Abstract

In this work we show through experiments, by using cohesionless granular materials, that a simple formula proposed to estimate the granular outflow from orifices in thick sidewalls is also valid for thin sidewalls. The use of such a formula entails the approximate validity of the classical Hagen and Beverloo formulas for granular samples composed of small and large grains, respectively. Also, an estimation of the involved error when the wall thickness is left aside also is given.

Author Biographies

D. A. Serrano, Departamento de Física, Facultad de Ciencias, UNAM

Departamento de Física, Dr. en Ciencias en Ingenieria Mecánica

M. Pliego Diaz, DCB, Instituto Tecnológico de Querétaro,

DCB, Instituto Tecnológico de Querétaro,

C. A. Vargas, Laboratorio de Sistemas Complejos, Departamento de Ciencias Básicas,

Laboratorio de Sistemas Complejos, Departamento de Ciencias Básicas

and A. Medina Ovando, ESIME Azcapotzalco, Instituto Politécnico Nacional. ETSIAE, Universidad Politécnica de Madrid,

ESIME Azcapotzalco, Instituto Politécnico Nacional.

ETSIAE, Universidad Politécnica de Madrid,

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Published

2019-03-26

How to Cite

[1]
D. A. Serrano, G. R.-. Chavarria, M. P. Diaz, C. A. Vargas, and and A. Medina Ovando, “On the validity of the Hagen and Beverloo formulas for grains discharge through thin sidewalls of bins”, Rev. Mex. Fís., vol. 65, no. 2 Mar-Apr, pp. 139–147, Mar. 2019.

Issue

Vol. 65 No. 2 Mar-Apr (2019): Revista Mexicana de Física

Section

06 Fluid Dynamics

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.