Formation and Stability of Band Patterns in a Rotating Suspension-Filled 
Cylinder

Seiden, Gabriel; Ungarish, M.; Lipson, Stephen G.

doi:10.1103/PhysRevE.76.026221

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Formation and Stability of Band Patterns in a Rotating Suspension-Filled Cylinder

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Seiden, Gabriel
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Seiden, G., Ungarish, M., & Lipson, S. G. (2007). Formation and Stability of Band Patterns in a Rotating Suspension-Filled Cylinder. Physical Review E, 76, 026221-1-026221-9. doi:10.1103/PhysRevE.76.026221.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-13FF-A

Abstract

We explore the phenomenon of segregation and pattern formation in the complex system of a rotating horizontal cylinder completely filled with a dilute suspension of non-Brownian particles. A general dimensionless analysis is presented, which reveals the importance of the different dimensionless parameters involved. A detailed account of the mechanism of segregation and formation of axial bands for the case of low viscosity fluids is given. According to the analysis the axial pressure gradient associated with an inertial-mode excitation within the bounded fluid is responsible for the formation of bands in interleaving nodal planes of the excitation. The question of stability of the band patterns is addressed and a phase diagram in the appropriate dimensionless space is presented.