Slow parallel flows of a water-granule mixture under gravity. II: Examples of free surface and channel flows
[For part I see the review above (Zbl 0608.76100).] Using the continuum equations for an isothermal flow of water-granule mixture, proposed in part I, we examine two classes of parallel gravity flows with low velocity. The first class is distinguished by a free surface, as may occur in a mud slide or river bed flows. The case of a single layer of saturated mixture driven by gravity is first studied. The effect of a layer of flowing water on top is then investigated. Velocity profiles and granular discharges are plotted. In the second class the top is bounded by a rigid wall along which there is no slipping. When the entire channel is filled with the mixture the velocity profile is found to contain a plug flow region which is asymmetric due to gravity. A layer of clear water flowing over the mixture has some lubricating effect which increases the granular discharge.
scientific article; zbMATH DE number 3984874