Acta Mechanica

, Volume 63, Issue 1–4, pp 179–193 | Cite as

Slow parallel flows of a water-granule mixture under gravity, part I: Continuum modeling

  • M. Shibata
  • C. C. Mei
Contributed Papers
Received:
Revised:

Summary

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 stressstrain 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.

Keywords

Shear Stress Dynamical System Shear Rate Fluid Dynamics Continuum Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • M. Shibata
    • 1
  • C. C. Mei
    • 1
  1. 1.Department of Cicil EngineeringMassachusetts Institute of TechnologyCambridgeUSA

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