Slow parallel flows of a water-granule mixture under gravity. II: Examples of free surface and channel flows
type: Item
instance of: scholarly article
title: Slow parallel flows of a water-granule mixture under gravity. II: Examples of free surface and channel flows
zbMATH Open document ID: 0608.76101
DOI: 10.1007/BF01182548
author: B. George
published in: Acta Mechanica
publication date: 1986-01-01T00:00:00Z
review text: [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.
Mathematics Subject Classification ID: 76T99
zbMATH DE Number: 3984874
zbMATH Keywords: continuum equations
zbMATH Keywords: isothermal flow
zbMATH Keywords: water-granule mixture
zbMATH Keywords: parallel gravity flows
zbMATH Keywords: river bed
zbMATH Keywords: saturated mixture
zbMATH Keywords: flowing water
zbMATH Keywords: Velocity profiles
zbMATH Keywords: slipping
zbMATH Keywords: lubricating effect
MaRDI profile type: Publication
cites work: Gravity flow of cohesionless granular materials in chutes and channels
cites work: The Mechanics of Rapid Granular Flows
cites work: Slow parallel flows of a water-granule mixture under gravity. I: Continuum modeling
description: scientific article; zbMATH DE number 3984874