Mixing and segregation of granular materials in chute flows

Chaos
D. V. KhakharJ. M. Ottino

Abstract

Mixing of granular solids is invariably accompanied by segregation, however, the fundamentals of the process are not well understood. We analyze density and size segregation in a chute flow of cohesionless spherical particles by means of computations and theory based on the transport equations for a mixture of nearly elastic particles. Computations for elastic particles (Monte Carlo simulations), nearly elastic particles, and inelastic, frictional particles (particle dynamics simulations) are carried out. General expressions for the segregation fluxes due to pressure gradients and temperature gradients are derived. Simplified equations are obtained for the limiting cases of low volume fractions (ideal gas limit) and equal sized particles. Theoretical predictions of equilibrium number density profiles are in good agreement with computations for mixtures of equal sized particles with different density for all solids volume fractions, and for mixtures of different sized particles at low volume fractions (nu<0.2), when the particles are elastic or nearly elastic. In the case of inelastic, frictional particles the theory gives reasonable predictions if an appropriate effective granular temperature is assumed. The relative importance...Continue Reading

References

Mar 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G BaumannD E Wolf

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Citations

Jun 5, 2003·Chaos·Guy MetcalfeKurt Liffman
Jun 5, 2003·Chaos·Robert BehringerSidney Nagel
Oct 16, 1999·Proceedings of the National Academy of Sciences of the United States of America·K M HillJ M Ottino
Jun 20, 2008·Journal of Pharmaceutical Sciences·William R KetterhagenBruno C Hancock
Sep 25, 2012·Advances in Colloid and Interface Science·R G M van der Sman, H M Vollebregt
May 1, 2001·Physical Review Letters·N JainJ M Ottino
Jul 30, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anuja Seth MehrotraD V Khakhar
Mar 20, 2018·Physical Review. E·Nathalie Thomas, Umberto D'Ortona
Mar 19, 2019·Annual Review of Chemical and Biomolecular Engineering·Paul B UmbanhowarJulio M Ottino
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R BritoR Soto
Jun 28, 2011·Physical Review Letters·Yi Fan, K M Hill
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Stephen E CisarJulio M Ottino
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Brent Rice, Christine M Hrenya
Sep 4, 2008·Physical Review Letters·K M Hill, Yi Fan
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anurag Tripathi, D V Khakhar
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G Félix, N Thomas
Oct 13, 2007·Physical Review Letters·Deliang ShiJ J McCarthy
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Suman K Hajra, D V Khakhar
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yi Fan, K M Hill

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