Continuum theory of axial segregation in a long rotating drum
- Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439 (United States)
- Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402 (United States)
We develop a continuum description for the axial segregation of granular materials in a long rotating drum based on the dynamics of the thin near-surface granular flow coupled to bulk flow. The equations of motion are reduced to the one-dimensional system for two local variables only, the concentration difference and the dynamic angle of repose, or the average slope of the free surface. The parameters of the system are established from comparison with experimental data. The resulting system describes both initial transient traveling wave dynamics and the formation of quasi-stationary bands of segregated materials. A long-term evolution proceeds through slow logarithmic coarsening of the band structure which is analogous to the spinoidal decomposition described by the Cahn-Hilliard equation. {copyright} {ital 1999} {ital The American Physical Society}
- OSTI ID:
- 357281
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 60, Issue 2; Other Information: PBD: Aug 1999
- Country of Publication:
- United States
- Language:
- English
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