Numerical Simulation of a Granular Flow on a Smooth Inclined Plane

摘要

Unlike most fluids,granular materials include coexisting solid,liquid or gaseous regions,which produce a rich variety of complex flows.Dense flows of grains driven by gravity down inclines occur in nature and in industrialprocesses.To describe the granular flow on an inclined surface,several studies were carried out.We can cite in particular the description of Saint-Venant which considers a dry granular flow,without cohesion and it only takes into account the substance-substrate friction,this model proposes a simplified form of the granular flow,which depends on the one side on the angle of inclination of the substrate with respect to the horizontal plane and on the other side on the thickness of the substance H.The numerical simulation we have developed is first based on the Saint-Venant model,it allowed us to visualize the variation of the speed according to the thickness of the substance(from 0 to H)and to deduce the average speed of the substance on an inclined plane.However,this restrictive model does not take into account the effect of particle friction on the flow and considers that the thickness H is constant.To make our simulation more realistic,we opted for the Savage-Hatter model.We took into account the variation of the thickness on the particles speed,in addition we have studied the effect of the variation of many parameters on the granular flow,namely the temperature and the roughness of the substrate,the density and the compactness of the substance,we found that the speed of the particles increases and the treatment time decreases with an increase in temperature.