Abstract
Segregation and mixing of granular mixtures are important to the minerals, food processing and pharmaceuticals industry to name just a few. It has recently been demonstrated that a rotating tumbler is a suitable device for separating out binary granular mixtures, i.e. mixtures composed of only two different particle types. However, most practical granular mixtures are composed of multi-component particle types. We therefore study the capability of this rotating tumbler to segregate mixtures composed of more than two components where the particles differ either in size or density. The general pattern of segregation involves the formation of an inner core of smallest or densest particles followed, at larger radii, by the next largest or densest particle type and so-on in an onion-like pattern. In the mixtures where particles differ in size we always get relatively pure inner cores of the smallest particles, while the other regions are less segregated. On the other hand for mixtures whose particles differ in density we get a relatively pure outer region (adjacent to cylinder wall) consisting of the least dense particles while the other regions are less segregated. We attempt to relate the simulation results to phenomenological theory and find that size segregation in a specific multi-component mixture can be suitably described by a recent theoretical model.
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References
Duran, J.: Sands, Powders, and Grains. An Introduction to the Physics of Granular Matter. Springer, New York (2000)
Bagnold, R.A.: The Physics of Blown Sands and Desert Dunes. Chapman and Hall, London (1941)
Jaeger, H.M., Nagel, S.R.: Physics of the granular state. Science 255, 1523–1531 (1992)
Mehta, A.: Granular Matter: An Interdisciplinary Approach. Springer, Berlin (1994)
Ristow, G.H.: Pattern Formation in Franular Materials. Springer, Berlin (1994)
Ottino, J.M., Khakhar, D.V.: Mixing and segregation of granular materials. Ann. Rev. Fluid Mech. 32, 55–91 (2000)
Meier, S.W., Lueptow, R.M., Ottino, J.M.: A dynamical systems approach to mixing and segregation of granular materials in tumblers. Adv. Phys. 56, 757–827 (2007)
Khakhar, D.V., McCarthy, J.J., Ottino, J.M.: Radial segregation of granular mixtures in rotating cylinders. Phys. Fluids 9, 3600–3614 (1997)
Gray, J.M.N.T.: Granular flow in partially filled slowly rotating drums. J. Fluid Mech. 441, 1–29 (2001)
Cantelaube, F., Bideau, D.: Radial segregation in a 2d Drum: an experimental analysis. Europhys. Lett. 30, 133–138 (1995)
Metcalfe, G., Shinbrot, T., McCarthy, J.J., Ottino, J.M.: Avalanche mixing of granular solids. Nature 374, 39–41 (1995)
Makse, H.A.: Continuous avalanche segregation of granular mixtures in thin rotating drums. Phys. Rev. Lett. 83, 3186–3189 (1999)
Kwapinska, M., Saage, G., Tsotsas, E.: Mixing of particles in rotary drums. Powder Technol. 161, 69–78 (2006)
Pereira, G.G., Sinnott, M.D., Cleary, P.W., Liffman, K., Metcalfe, G., Sutalo, I.D.: Insights from simulations into mechanisms for density segregation of granular mixtures in rotating cylinders. Granul. Matter 13, 53–74 (2011)
Pereira, G.G., Pucilowski, S., Liffman, K., Cleary, P.W.: Streak patterns in binary granular media. Appl. Math. Mod. 35, 1638–1646 (2011)
Rapaport, D.C.: Radial and axial segregation of granular matter in a rotating cylinder: a simulation study. Phys. Rev. E 75, 031301(1–11) (2007)
Hajra, S.K., Khakhar, D.V.: Radial segregation of ternary granular mixtures in rotating cylinders. Granul. Matter 13, 475–486 (2011)
Gupta Das, S., Bhatia, S.K., Khakhar, D.V.: Axial segregation of particles in a horizontal rotating cylinder. Chem. Eng. Sci. 46, 1513–1517 (1991)
Newey, M., Ozik, J., VanDerMeer, S.M., Ott, E., Losert, W.: Band-in-band segregation of multidisperse granular mixtures. Europhys. Lett. 66, 205–211 (2004)
Metzger, M.J., Remy, B., Glasser, B.J.: All the Brazil nuts are not on top: vibration induced granular size segregation of binary, ternary and multi-sized mixtures. Powder Tech. 205, 42–51 (2011)
Jha, A.K., Puri, V.M.: Percolation segregation of multi-sized and multi-component particulate materials. Powder Tech. 197, 274–282 (2010)
Gray, J.M.N.T., Ancey, C.: Multi-component particle segregation in shallow avalanches. J. Fluid Mech. 678, 535–588 (2011)
Marks, B., Rognon, P., Einav, I.: Grainsize dynamics of polydisperse granular segregation down inclined planes. J. Fluid Mech. 690, 499–511 (2012)
Campbell, C.S.: Rapid granular flows. Ann. Rev. Fluid Mech. 22, 57–92 (1990)
Barker, G.C.: Computer simulations of granular materials. In: Mehta, A. (ed.) Granular Matter: An Interdisciplinary Approach. Springer, NY (1994)
Walton, O.R.: Numerical simulation of inelastic frictional particle-particle interaction, Chapter 25. In: Roco, M.C. (ed.) Particulate Two-Phase Flow, pp. 884–991 (1994)
Cleary, P.W.: Predicting charge motion, power draw, segregation, wear and particle breakage in ball mills using discrete element methods. Miner. Eng. 11, 1061–1080 (1998)
Cleary, P.W.: Discrete element modelling of industrial granular flow applications. TASK. Q. Sci. Bull. 2, 385–416 (1998)
Cleary, P.W.: Large scale industrial DEM modelling. Eng. Comput. 21, 169–204 (2004)
Thornton, C., Cummins, S., Cleary, P.W.: An investigation of the comparative behaviour of alternative contact force models during elastic collisions. Powder Technol. 210, 189–197 (2011)
Thornton, C., Cummins, S., Cleary, P.W.: An investigation of the comparative behaviour of alternative contact force models during inelastic collisions. Powder Technol. 233, 30–46 (2013)
Pőschel, T., Buchholtz, V.: Complex flow of granular material in a rotating cylinder. Chaos Solitons Fract. 5, 1901–1912 (1995)
Cleary, P.W., Sinnott, M.D.: Assessing mixing characteristics of particle mixing and granulation devices. Particuology 6, 419–444 (2008)
Ahmed, S., John, S.E., Sutalo, I.D., Metcalfe, G., Liffman, K.: Exprimental study of density segregation at end walls in a horizontal rotating cylinder saturated with fluid: friction to lubrication transition. Granul. Matter 14, 319–332 (2012)
Drahun, J.A., Bridgewater, J.: The mechanisms of free surface segregation. Powder Technol. 36, 39–53 (1983)
Savage, S.B., Lun, K.K.: Particle segregation in inclined chute flow of dry cohesionless granular solids. J. Fluid Mech. 180, 311–335 (1988)
Gray, J.M.N.T., Thornton, A.R.: A theory for particle size segregation in shallow granular free-surface flows. Proc. R. Soc. Lond. Ser. A 461, 1447–1473 (2005)
Tripathi, A., Khakhar, D.V.: Density difference-driven segregation in a dense granular flow. J. Fluid Mech. 717, 643–669 (2013)
Wiederseiner, S., Andreini, N., Epely-Chauvin, G., Moser, G., Monnereau, M., Gray, J.M.N.T., Ancey, C.: Experimental investigation into segregating granular flows down chutes. Phys. Fluids 23, 013301 (2011)
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Pereira, G.G., Cleary, P.W. Radial segregation of multi-component granular media in a rotating tumbler. Granular Matter 15, 705–724 (2013). https://doi.org/10.1007/s10035-013-0448-2
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DOI: https://doi.org/10.1007/s10035-013-0448-2