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A Simple Description of Thick Avalanches at the Surface of a Granular Material
Published online by Cambridge University Press: 01 February 2011
Abstract
Some years ago, Bouchaud et al. introduced a phenomenological model to describe surface flows of granular materials [J. Phys. Fr. I 4, 1383 (1994)]. According to this model, one can distinguish between a static phase and a rolling phase that are able to exchange grains through an erosion/accretion mechanism. Later, Boutreux et al. [Phys. Rev. E 58, 4692 (1998)] proposed a modification of the exchange term in order to describe thicker flows where saturation effects are present. However, these two approaches assumed that the downhill convection velocity of the grains is constant inside the rolling phase, a hypothesis that is not verified experimentally. We have recently modified the above models by introducing a velocity profile in the flow, and analyzed the physical consequences of this modification in the simple situation of an avalanche in an open cell. We here emphasize the physical predictions of our model, and show, in particular, that the thickness of the avalanche depends strongly on the velocity profile.
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References
REFERENCES
[1] For a detailed description of the Coulomb approach and its extensions, see Nedderman, R.M., Statics and Kinematics of Granular Materials (Cambridge University Press, Cambridge, 1992).Google Scholar
[2]
Rajchenbach, J., in Physics of Dry Granular Media, Hermann, H.J., Hovi, J.P., and Luding, S., eds. (Kluwer Academic Publishers, Dordrecht, 1998), p. 421.Google Scholar
[3]
de Gennes, P.-G., in From Rice to Snow, Lecture at the Nishina Memorial Foundation, Publication Nr 38 (Nishina Memorial Foundation, April 1998). See also Ref. [8].Google Scholar
Liu, C.H., Nagel, S., Shechter, D., Coppersmith, S., Majumdar, S., Narayan, O., and Witten, T., Science, 269, 513 (1995);Google Scholar
Radjai, F., Wolf, D.E., Roux, S., Jean, M., and Moreau, J.-J., in Powders and Grains 97, Behringer, R. and Jenkins, J., eds., Balkema Publishers, Rotterdam, 1997), p. 211.Google Scholar
[5]
Bouchaud, J.-P., Cates, M.E., Ravi Prakash, J., and Edwards, S.F., J. Phys. France I, 4, 1383 (1994);Google Scholar
Bouchaud, J.-P., Cates, M.E., Ravi Prakash, J., and Edwards, S.F., Phys. Rev. Lett., 74, 1982 (1995).Google Scholar
See also Mehta, A., in Granular Matter, Mehta, A., ed. (Springer Verlag, Heidelberg, 1994).Google Scholar
[7]
de Gennes, P.-G., Cours du Collège de France, unpublished (Collège de France, Paris, 1997).Google Scholar
[10]
Bouchaud, J.-P. and Cates, M.E., in Physics of Dry Granular Media, Hermann, H.J., Hovi, J.P., and Luding, S. eds., (Kluwer Academic Publishers, Dordrecht, 1998), p. 465.Google Scholar
[11]
Samson, L., Ippolito, I., Dippel, S., Batrouni, G.G., in Powders and Grains 97, Behringer, R. and Jenkins, J., eds. (Balkema Publishers, Rotterdam, 1997), p. 503.Google Scholar
[12]
Dippel, S., Batrouni, G.G., Wolf, D.E., in Powders and Grains 97, Behringer, R. and Jenkins, J., eds. (Balkema Publishers, Rotterdam, 1997), p. 559.Google Scholar
[14]
Rajchenbach, J., Clément, E. and Duran, J., in Fractal Aspects of Materials, Family, F., Meakin, P., Sapoval, B. and Wool, R., eds., M.R.S. Symposia Proceedings No. 367 (Materials Research Society, Pittsburgh, 1995), p. 525.Google Scholar
[15]
Azanza, E., Chevoir, P. and Moucheron, P., in Powders and Grains 97, Behringer, R. and Jenkins, J., eds. (Balkema Publishers, Rotterdam, 1997), p. 455.Google Scholar