Spreading of a granular droplet
arXiv:0705.3552 · doi:10.1103/PhysRevE.76.060301
Abstract
The influence of controlled vibrations on the granular rheology is investigated in a specifically designed experiment. We study experimentally a thin granular film spreading under the action of horizontal vibrations. A nonlinear diffusion equation is derived theoretically that describes the evolution of the deposit shape. A self-similar parabolic shape (the``granular droplet'') and a spreading dynamics are predicted that both agree quantitatively with the experimental results. The theoretical analysis is used to extract effective dynamic friction coefficients between the base and the granular layer under sustained and controlled vibrations. We derive an empirical friction law involving external driving parameters and the layer height to represent our data.
4 pages, 3 figures
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Cited by in corpus (6)
- Jamming, Yielding and Rheology of Weakly Vibrated Granular Media
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- Brownian granular flows down heaps
- Creeping Avalanches of Brownian Granular Suspensions
- Relaxation Dynamics of a Granular Pile on a Vertically-Vibrating Plate
- Laboratory experiment and discrete-element-method simulation of granular-heap flows under vertical vibration