Abstract
We show that a mixture of two species of granular particles with equal sizes but differing densities can be either segregated or mixed by adjusting the granular temperature gradient and the magnitude of the gravitational force. In the absence of gravity, the dense, heavy particles move to the colder regions. If the temperature gradient is put into a gravitational field with the colder regions above the hotter, a uniform mixture of light and heavy particles can be attained. This situation can be realized in a container of finite height with a vibrating bottom, placed in a gravitational field. We present a relation between the height of the container, the particle properties, and the strength of gravity required to minimize segregation.
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References
Physics of Dry Granular Media — NATO ASI Series E 350, edited by H. J. Herrmann, J.-P. Hovi, and S. Luding, Kluwer Academic Publishers, Dordrecht, 1998.
Chowhan, Z. T.: Segregation of particulate solids part I, Pharm. Technol. 19 (1995), 56.
Knight, J. B., Jaeger, H. M., and Nagel, S.R.: Vibration-induced size separation in granular media: the convection connection, Phys. Rev. Lett. 70 (1993), 3728.
Duran, J., Rajehcnbach, J., and Clément, E.: Arching effect model for particle size segregation, Phys. Rev. Lett. 70 (1993), 2431.
Duran, J., Mazozi, T., Clément, E., and Rajchenbach, J.: Size segregation in a two-dimensional sandpile: convection and arching effects, Phys. Rev. E 50 (1994); 5138.
Cooke, M. H., Stephens, D. J., and Bridgwater, J.: Powder mixing — a literature survey, Powder Technol. 15 (1976), 1.
Oyama, Y.: Horizontal rotating cylinder, Bull. Inst. Phys. Chem. Res. (Tokyo) Rep. 18 (1939), 600.
Gupta, S. D., Kharkar, D. V., and Bhatia, S. K.: Axial transport of granular solids in horizontal rotating cylinders, Chem. Eng. Science 46 (1991), 1531.
Nakagawa, M.: Axial segregation in a horizontal rotating cylinder, Chem. Eng. Science 49 (1994), 2544.
Zik, O. et al.: Rotationally induced segregation of granular material in a horizontal rotating cylinder, Phys. Rev. Lett. 73 (1994), 644.
Hill, K. M. and Kakalios, J.: Reversible axial segregation of binary mixtures of granular materials, Phys. Rev. E 49 (1994), R3610.
McNamara, S. and Luding, S.: Energy flows in vibrated granular media, Phys. Rev. E 58 (1998), 813.
Jeans, J.: The dynamical theory of gases, Dover Publications, 1925, paragraph 448.
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© 2000 Springer Science+Business Media Dordrecht
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Mcnamara, S., Luding, S. (2000). A Simple Method to Mix Granular Materials. In: Rosato, A.D., Blackmore, D.L. (eds) IUTAM Symposium on Segregation in Granular Flows. Solid Mechanics and Its Applications, vol 81. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9498-1_29
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DOI: https://doi.org/10.1007/978-94-015-9498-1_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5556-9
Online ISBN: 978-94-015-9498-1
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