Slow parallel flows of a water-granule mixture under gravity. I: Continuum modeling (Q1086100)

Slow parallel flows of a water-granule mixture under gravity are investigated. Continuum equations of mass and momentum of the fluid and granular phases are adopted under the assumptions of low shear rates and constant granular temperature. The granular stress-strain relationship is proposed to consist of two parts: one part accounting for granular friction and the other for granular collision. Two independent criteria for the onset of the shearing flow are introduced: kinematic and dynamic. The former requires a loose solid configuration, and the latter a high shear stress. The interaction between the fluid and granular phases are also included. Differences from existing works on the subject are pointed out. [For Part II, see the following review (Zbl 0608.76101).]