Erosion Waves: When a Model Experiment Meets a Theory

Eric Clement, Florent Malloggi, Bruno Andreotti and Igor S. Aranson
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Eric Clement: ESPCI-Universités Paris 6 and 7, Laboratoire de Physique et Mécanique des Milieux Hétérogénes, UMR7636
Florent Malloggi: ESPCI-Universités Paris 6 and 7, Laboratoire de Physique et Mécanique des Milieux Hétérogénes, UMR7636
Bruno Andreotti: ESPCI-Universités Paris 6 and 7, Laboratoire de Physique et Mécanique des Milieux Hétérogénes, UMR7636
Igor S. Aranson: Argonne National Laboratory, Materials Science Division

A chapter in Traffic and Granular Flow’05, 2007, pp 129-145 from Springer

Abstract: Summary We present recent results on two laboratory scale avalanches experiments taking place both in the air and under-water. In both cases, a family of solitary erosion/deposition waves are triggered. At higher inclination angles, we show the existence of a linear long wavelength transverse instability followed by a coarsening dynamics and finally, the onset of a fingering pattern. Both experiments strongly differ by the spatial and time scales involved, nevertheless, the quantitative agreement between the stability diagram, the wavelengths selection and the avalanche morphology suggest a common erosion/deposition scenario. These experiments are studied theoretically in the framework of the “partial fluidization” model that was developed earlier to describe dense granular flows. This model identifies a family of propagating solitary waves displaying a behavior similar to the experimental observation. A primary cause for the transverse instability is directly related to the dependence of the solitary wave velocity on the granular mass trapped in the avalanche, a results recovered experimentally.

Keywords: Particle Image Velocimetry; Solitary Wave; Rough Substrate; Transverse Instability; Solitary Solution (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-47641-2_10

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DOI: 10.1007/978-3-540-47641-2_10

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