Abstract
In this work we present a theoretical study, based on the continuum approach, of the traction forces on the wall of the silo and on a cylindrical rod located at its center when the silo is filled with a dry, non cohesive granular material. We derive expressions for the traction forces by using the Janssen model and the modified, two-parameter Janssen model in order to take into account the existence of dead zones, i.e., the existence of zones without traction occurring during the incipient filling of the silos. Comparison between both models allow understand important aspects observed in experiments.
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References
Atkinson TD, Butcher JC, Izard MJ, Nedderman RM (1983) Chem Engng Sci 38:91
Boutreux TE, Raphael E, de Gennes PG (1997) Phys Rev E 55:5759
Bratberg I, Malloy KJ, Hansen A (2005) Eur Phys Jour E 18:245
Brown RL, Richards JC (1970) Principles of powder mechanics. Pergamon, New York
McGlinchey D (ed) (2008) Bulk solids handling: equipment selection and operation. Blackwell Publishing Ltd, Oxford
Janssen HA (1895) Zeitschr d Vereines deutcher Ingenieure 39:1045
Landry JW, Grest GS, Silbert LE, Plimpton SJ (2003) Phys Rev E 67
Ovarlez G, Clément E (2005) Eur Phys Jour E 16:421
Pitman EB (1994) Math Mtly Am 101:28–35
Schulze D (2008) Powders and bulk solids. Springer, Berlin
Shaxby JH, Evans JC (1923) Trans Faraday Soc 19:60
Vanel L, Clément E (1999) Eur Phys Jour B 11:525
Vanel L, Claudin P, Bouchaud JP, Cates M, Clément E, Wittmer JP (2000) Phys Rev Lett 84:1439–041303
Vargas CA, Medina A, Gutierrez, GJ (2010) Submitted Phys Lett A
Acknowledgments
A. M. thanks UAM Azcapotzalco for the support to this research through the Carlos Graef-Fernández chair.
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Vargas, C.A., Medina, A., López-Villa, A. (2012). Traction Forces on Rods in Cylindrical Silos. In: Klapp, J., Cros, A., Velasco Fuentes, O., Stern, C., Rodriguez Meza, M. (eds) Experimental and Theoretical Advances in Fluid Dynamics. Environmental Science and Engineering(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17958-7_38
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DOI: https://doi.org/10.1007/978-3-642-17958-7_38
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