In this paper a detailed approach is proposed for the behavior of two-dimensional cohesionless granular materials moving down a confined inclined plane chute into the horizontal run-out zone, where the upslope propagating bore is treated as a growing deposition heap. It deals with the theoretical-numerical and experimental treatments. The depth-averaged field equations of balance of mass and linear momentum are described in moving coordinates for general topography as prescribed by Tai and Kuo [Acta Mech. 199, 71 (2008)]. A most simplistic approach to the erosion/deposition parameterization is proposed and the spatial coordinate coincides with the arc length of the variable basal surface. These equations describe the temporal evolution of the depth and velocity of the granular mass, especially the locations and shapes of the growing deposition heaps beneath the flowing layer. Experiments were carried out with different material supply rates and in two types of chutes, which differed by the bottom surface of the chute. In these experiments the sequential motions of the granular mass were recorded by a high-speed digital camera. The outlines of the deposition heap and flowing layers were obtained by successive images differences. Comparison of the experimental findings with the computational results proved to lead to good correspondence between experiment and theory. Even the development of the detailed geometry of the deposition heap is satisfactorily reproduced.
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes