Abstract
Gravity granular flows of cohesionless materials emerging from bottom exits and from lateral exit holes, both in vertical bins, and from face walls in tilted bins were modeled and measured. The models are based on continuum mechanics, whereas friction and gravity are the main involved forces. Measurements of the granular mass flow rates were obtained from temporal measurements of weights by using force sensors. In vertical and tilted bins the face wall thicknesses were considered in the governing correlations. Measurements are in good agreement with the theoretical predictions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Amontons G (1699) De la Résistance Causée Dans les Machines. Mem Acad Roy Sci 206–222
Bagrintsev II, Koshkovskii SS (1977) Investigation of the outflow of granular materials through openings in the wall of a vertical cylindrical tube. J Chem Pet Eng 6:503–505
Beverloo WA, Leniger HA, van de Velde J (1961) The flow of granular solids through orifices. Chem Eng Sci 15:260–269
Bowden FP, Tabor D (1950) The friction and lubrication of solids. Oxford University Press, Oxford
Brown RL, Richards JC (1970) Principles of powder mechanics. Pergamon, New York
Coulomb CA (1773) Memoires de Mathématiques et de Physique Présentés a l’Académie Royale des Sciences par Divers Sávants et lus dens les Assemble. L’Imprimerie Royale, Paris, pp 343–382
Davies CE, Foye J (1991) Flow of granular material through vertical slots. Trans Inst Chem Eng 69:369–373
Davies CE, Desai M (2008) Blockage in vertical slots: experimental measurement of minimum slot width for a variety of granular materials. Powder Technol 183:436–440
da Vinci L (1480) Circa Il codice Atlantico di Leonardo da Vinci nella Biblioteca Ambrosiana di Milano
Euler L (1748) Sur la Diminution de la Résistance du Frottement. Histoire de l’Académie Royale des Sciences et Belles-Lettres de Berlin 4:133–148
Franklin FC, Johanson LN (1955) Flow of granular material through a circular orifice. Chem Eng Sci 4:119–129
Hagen GH (1852) Aber den Druck und die Bewegung des trocknen Sandes. Bericht uber die zur Bekanntmachung geeigneten Verhandlungen der Koniglich Preussischen Akademie der Wissenschaften zu Berlin 35:35–42
Janssen HA (1895) Versuche über Getreidedruck in Silozellen [On the measurement of pressures in grain silos] Zeitschr. d. Vereines deutcher Ingenieure 39:1045–1049
Landry JW, Grest GS, Silbert LE, Plimpton SJ (2003) Confined granular packings: structure, stress, and force. Phys Rev E 67:041303-1–041303-9
Liu Y (2014) The theoretical calculation of the flow rate of granular matter from an inclined orifice. Granul Matter 16:133–139
Medina A, Serrano DA, Gutiérrez GJ, Kesava Rao K, Vargas CA (2013) On the mass flow rate in silos with lateral exit holes. Rev Mex Fis 59:287–291
Medina A, Cabrera D, López-Villa A, Pliego M (2014) Discharge rates of dry granular material from bins with lateral exit holes. Powder Technol 253:270–275
Sheldon HG, Durian DJ (2010) Granular discharge and clogging for tilted hoppers. Granul Matter 12:579–585
Torricelli E (1641) Opera Geometrica. Downloaded from https://archive.org/details/operageometrica00torrgoog
Wieghardt K (1975) Experiments in granular flow. Annu Rev Fluid Mech 7:89–114
White FM (1994) Fluid mechanics, 3rd edn. McGraw-Hill, New York
Zhuravlev VPh (2013) On the history of the dry friction law. Mech Solids 48:364–369
Acknowledgments
Authors wish to thank the support by Facultad de Ciencias UNAM and by SIP IPN through the project 20141404.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Serrano, D.A., Medina, A., Chavarría, G.R., Silva, F.S. (2015). Flows from Bins: New Results. In: Klapp, J., Ruíz Chavarría, G., Medina Ovando, A., López Villa, A., Sigalotti, L. (eds) Selected Topics of Computational and Experimental Fluid Mechanics. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-11487-3_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-11487-3_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11486-6
Online ISBN: 978-3-319-11487-3
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)