Acta Mechanica

, Volume 65, Issue 1–4, pp 239–261 | Cite as

Plane steady shear flow of a cohesionless granular material down an inclined plane. A model for flow avalanches Part II: numerical results

  • K. Hutter
  • F. Szidarovsky
  • S. Yakowitz
Contributed Papers
Received:

Summary

The granular flow model proposed by Jenkins and Savage., [2], and extended by us [1] is used here to construct numerical solutions of steady chute flows thought to be typical of such flows.

We briefly state the equations and boundary conditions and present numerical solutions when the following model parameters of the Senkins and Savage model are varied: (a) the coefficient of restitution of the particles under binary collision, (b) the number of particles per layer, (c) the inclination angle of the chute, and (d) the basal and free surface boundary conditions. We demonstrate that the Jenkins and Savage model may yield physically questionable results, that those of its extension differ markedly from them and are physically more reasonable in certain cases, but yield equally questionable results in others. The results are apt to redefine research directions which granular flow modellers might want to pursue in the near future.

Keywords

Free Surface Fluid Dynamics Flow Model Inclination Angle Shear Flow 
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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References

  1. [1]
    Hutter, K., Szidarovszky F., Yakowitz, S.: Plane steady shear flow of a cohesionless granular material down an inclined plane. A model for flow avalanches. Part. I: Theory. Acta Mechanica63, 67–112 (1986).Google Scholar
  2. [2]
    Jenkins, J. T., Savage, S. B.: A theory for the rapid flow of identical smooth, nearly elastic spherical particles. J. Fluid Mech.130, 187–202 (1983).Google Scholar
  3. [3]
    Szidarovszky F., Hutter, K., Yakowitz, S.: A numerical study of steady plane granular chute flows using the Jenkins-Savage model and its extension. Int. J. Num. Methods in Eng. (submitted) (1986).Google Scholar
  4. [4]
    Szidarovsky, F., Hutter, K., Yakowitz, S.: A numerical study of steady plane granular chute flows, a non-linear two-point value problem with singularities. Math. J. Eötvös University, Budapest (in press) (1987).Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • K. Hutter
    • 1
  • F. Szidarovsky
    • 2
  • S. Yakowitz
    • 3
  1. 1.Laboratory of Hydraulics, Hydrology and GlaciologyETHZürichSwitzerland
  2. 2.Department of Mathematics and Computer ScienceUniversity of HorticultureBudapest, XIHungary
  3. 3.Department of Systems and Industrial EngineeringUniversity of ArizonaTucsonUSA

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