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.
Citation:
Yu. A. Berezin, L. A. Spodareva, “Slow motion of a granular layer on an inclined plane”, Prikl. Mekh. Tekh. Fiz., 39:2 (1998), 117–120; J. Appl. Mech. Tech. Phys., 39:2 (1998), 261–264