Display options
Cite
Gilchrist JF, Ottino JM. Competition between chaos and order: mixing and segregation in a spherical tumbler. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;68(6):061303doi: 10.1103/PhysRevE.68.061303.
Gilchrist, J. F., & Ottino, J. M. (2003). Competition between chaos and order: mixing and segregation in a spherical tumbler. Physical review. E, Statistical, nonlinear, and soft matter physics, 68(6), 061303. https://doi.org/10.1103/PhysRevE.68.061303
Gilchrist, J F, and Ottino, J M. "Competition between chaos and order: mixing and segregation in a spherical tumbler." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 68,6 (2003): 061303. doi: https://doi.org/10.1103/PhysRevE.68.061303
Gilchrist JF, Ottino JM. Competition between chaos and order: mixing and segregation in a spherical tumbler. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6):061303. doi: 10.1103/PhysRevE.68.061303. Epub 2003 Dec 24. PMID: 14754197.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6):061303. doi: 10.1103/PhysRevE.68.061303. Epub 2003 Dec 24.

Competition between chaos and order: mixing and segregation in a spherical tumbler.

Physical review. E, Statistical, nonlinear, and soft matter physics

J F Gilchrist, J M Ottino

Affiliations

  1. Department of Chemical Engineering, Northwestern University, Evanston, Illinois 60208, USA.

PMID: 14754197 DOI: 10.1103/PhysRevE.68.061303

Abstract

We investigate the competition between granular mixing and segregation in a sphere rotating and rocking on two orthogonal axes. Operation corresponds to the continuous-flow regime and the flow within the sphere is three-dimensional and time-periodic. Experimental results are organized in a frequency/amplitude phase diagram showing modes of segregation (band formation/no axial bands); segregated bands are remarkably robust and survive rocking amplitudes as large as 60 degrees over a wide range of frequencies. Details differ, but the phenomenon occurs under both dry and slurry conditions, that is, when all air is replaced by a liquid. Experimental space-time plots of the stationary segregated patterns agree well with Poincaré maps obtained using a continuum model of the flow, suggesting that the final segregation patterns are relatively independent of materials tumbled.

Publication Types