Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-23T12:49:26.445Z Has data issue: false hasContentIssue false
  • English
  • Français

Steady Motion of a Finite Granular Mass in a Rotating Drum

Published online by Cambridge University Press:  05 May 2011

Y.C. Tai ,
K. Hutter  and
J. M. N. T. Gray
Y.C. Tai*
Affiliation:
Rheinland Taiwan Ltd., 10F, No. 219, Min-Chuan Road, Taichung, Taiwan 403, R.O.C.
K. Hutter*
Affiliation:
Institute of Mechanics, Darmstadt University of Technology, Hochschulstr. 1, 64289 Darmstadt, Germany
J. M. N. T. Gray*
Affiliation:
Institute of Mechanics, Darmstadt University of Technology, Hochschulstr. 1, 64289 Darmstadt, Germany
*
*Engineer
**Professor
**Professor
Get access

Abstract

The Savage-Hutter (SH) theory (1989) of dense granular avalanche flow uses an earth pressure coefficient Kx which depends on the internal angle of friction and the bed friction angle but assumes different values in diverging and converging flows. So the earth pressure coefficient is undefined when the strain rate ∂u/∂x changes sign. Steady plane flow of a finite mass of a cohesionless granular material in a permanently rotating drum admits an exact solution of the SH-equations at ∂u/∂x = 0 provided the value for Kx is prescribed. However, avalanche profiles depend on the values of Kx. Experiments on avalanche shapes in steady rotating drums offer therefore a possibility to identify the value of Kx at zero strain rate.

Keywords

SH-modelGranular materialEarth pressure coefficientRotating drum
Type
Articles
Information
Journal of Mechanics , Volume 16 , Issue 2 , June 2000 , pp. 67 - 72
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Greve, R. and Hutter, K., “Motion of a Granular Avalanche in a Convex and Concave Curved Chute: Experiments and Theoretical Predictions,” Proc. Roy. Soc. Lond. A, 445, pp. 399–413 (1993).Google Scholar
2Hutter, K. and Nohguchi, Y., “Similarity Solution for a Voellmy Model of Snow Avalanches with Finite Mass,” Acta Mechanica, 82, pp. 99–127 (1990).CrossRefGoogle Scholar
3Hutter, K. and Koch, T., “Motion of a Granular Avalanche in an Exponentially Curved Chute: Experiments and Theoretical Predictions,” Phil. Trans. Roy. Soc. A, 334, pp. 93–138 (1991).Google Scholar
4Nohguchi, Y., Yamaha, Y. and Nakamura, T., “Granular Flow of Finite Mass on a Boundary Moving Along Circular are Shaped Bed,” Proc. JUWSLDPC, 217–228 (1981).Google Scholar
5Savage, S. B. and Nohguchi, Y., “Similarity Solutions for Avalanches of Granular Materials down Gurved Beds,” Acta Mechanica, 75, pp. 153–174 (1988).CrossRefGoogle Scholar
6Savage, S. B. and Hutter, K., “The Motion of a Finite Mass of Granular Material down a Rough Incline,” J. Fluid. Mech., 199, pp. 177–215 (1989).CrossRefGoogle Scholar
7Tai, Y. C., and Gray, J. M. N. T., “Limiting Stress States in Granular Avalanches,” Ann. of Glaciology, 26, pp. 272–276 (1998).CrossRefGoogle Scholar