Abstract
Size segregation is an inherent feature of flowing granular materials, with large particles rising to the top of the flow and small particles percolating to the bottom. It is also observed experimentally that maximum vertical speed of small particles falling is greater than the maximum vertical speed of large particles rising. Existing continuum theories for the segregation use a symmetric quadratic flux thatassumes that the maximum segregation rates of large and small particles are equal. This work describes how non-convex asymmetric flux functions may be used to model the asymmetric vertical velocities using a simple cubic form. When small particles are sheared over the top of large particlesa propagating breaking size segregation wave forms, within which large and small particles are recirculated. An exact solution for the structure of the breaking size segregation wave for the cubic flux function is derived, which shows that the asymmetry has a significant impact on its structure.
| Original language | English |
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| Publication status | Published - 2013 |
| Event | Particle-Laden Flows in nature - Kavli Institute for Theoretical Physics Duration: 16 Dec 2013 → 19 Dec 2013 |
Conference
| Conference | Particle-Laden Flows in nature |
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| City | Kavli Institute for Theoretical Physics |
| Period | 16/12/13 → 19/12/13 |