The flow rate of granular materials through an orifice

Nedderman R.M., Tüzün U., Savage S.B. and Houlsby G.T. (1982). The flow of granular materials I: discharge rates from hoppers. J. Chem. Eng. Sci. 37: 1597–1609

Tüzün U., Houlsby G.T., Nedderman R.M. and Savage S.B. (1982). The flow of granular materials II: velocity distributions in slow flow. J. Chem. Eng. Sci. 37: 1691–1709

Savage S.B., Nedderman R.M., Tüzün U. and Houlsby G.T. (1983). The flow of granular materials III: rapid shear flows. J. Chem. Eng. Sci. 38: 189–195

Tighe B.P. and Sperl M. (2007). Pressure and motion of dry sand: translation of Hagen’s paper from 1852. Granul. Matter 9: 141–144

Beverloo W.A., Leniger H.A. and Van de Velde J. (1961). The flow of granular material through orifices. J. Chem. Eng. Sci. 15: 260–296

Zuriguel I., Pugnaloni L.A., Garcimartín A. and Maza D. (2003). Jamming during the discharge of grains from a silo described as a percolating transition. Phys. Rev. E (RC) 68: 30301

Hirshfeld D., Radzyner Y. and Rapaport D.C. (1997). Molecular dynamics studies of granular flow through an aperture. Phys. Rev. E 56: 4404–4415

Hirshfeld D. and Rapaport D.C. (2001). Granular flow from a silo: discrete-particle simulations in three dimensions. Eur. Phys. J. E 4: 193

Humby S., Tüzün U. and Yu A.B. (1998). Prediction of hopper discharge rates of binary granular mixtures. J. Chem. Eng. Sci. 53: 483–494

Bertho, Y., Becco, C., Vandewalle, N.: Dense bubble flow in a silo: an unusual flow of a dispersed medium. Phys. Rev. E 73 (2006)

Brown R.L. and Richards J.C. (1970). Principles of Powder Mechanics. Pergamon Press, Oxford

Nedderman R.M. and Laohakul C. (1980). The thickness of the shear zone of flowing granular media. Powder Technol. 25: 91–100

Zhang J.Y. and Rudolph V. (1991). Effect of shear friction on solid flow through an orifice. Ind. Eng. Chem. Res. 30: 1977–1981

Zuriguel I., Garcimartín A., Maza D., Pugnaloni L.A. and Pastor J.M. (2005). Jamming during the discharge of granular matter from a silo. Phys. Rev. E 71: 051303

Schäfer J., Dippel S. and Wolf D.E. (1996). Force schemes in simulations of granular materials. J. Phys. I(Fr) 6: 5

Arévalo R., Garcimartín A. and Maza D. (2007). A non-standard statistical approach to the silo discharge. Eur. Phys. J. ST 143: 191–197

Rapaport D.C. (2004). The Art of Molecular Dynamics Simulation. Cambridge University Press, London

Brown R.L. and Richards J.C. (1960). Profile of flow of granules through apertures. Trans. Inst. Chem. Eng. 38: 243–256