Abstract
The shape of the free surface of a layer of granular material moving on an inclined plane is studied on the basis of a model of a non-Newtonian fluid with a nonlinear relation between the stress tensor and the shear rate of the flow. For small but finite elevations of the free surface, the governing equations are reduced to a quasilinear Burgers equation. Results of a numerical solution are presented for the case of arbitrary elevations.
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Additional information
Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 2, pp. 117–120, March–April, 1998.
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Berezin, Y.A., Spodareva, L.A. Slow motion of a granular layer on an inclined plane. J Appl Mech Tech Phys 39, 261–264 (1998). https://doi.org/10.1007/BF02468092
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DOI: https://doi.org/10.1007/BF02468092