Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-29T07:30:37.846Z Has data issue: false hasContentIssue false
  • English
  • Français

Wavelength Selection in a Vibrated Granular Layer

Published online by Cambridge University Press:  01 February 2011

Eric Clément  and
Laurent Labous
Eric Clément
Affiliation:
Laboratoire des Milieux Désordonnés et Hétérogènes – UMR 7603, Université Pierre et Marie Curie- Boîte 86, 4, Place Jussieu, F-75252 Paris, France
Laurent Labous
Affiliation:
Laboratoire des Milieux Désordonnés et Hétérogènes – UMR 7603, Université Pierre et Marie Curie- Boîte 86, 4, Place Jussieu, F-75252 Paris, France
Get access

Abstract

We present a numerical study of a surface instability occurring in a bidimensional vibrated granular layer. The driving mechanism for the formation of stationary waves is closely followed. Two regimes of wavelength selection are identified : a dispersive regime and a saturation regime. For the saturation regime, a connection is established between the pattern formation and an intrinsic instability occurring spontaneously in dissipative gases. We also address the importance of the detailed dissipation laws determining the wavelength values.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 627: Symposium BB – The Granular State , 2000 , BB5.8
Copyright
Copyright © Materials Research Society 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

[1] Melo, F., Ubanhovar, P. and Swinney, H., Phys. Rev. Lett. 72, 172 (1994);Google Scholar
Melo, F., Ubanhovar, P. and Swinney, H., Phys. Rev. Lett. 75, 3838 (1995).Google Scholar
[2] Umbanhowar, P., Ph.D. dissertation The University of Texas in Austin (1996); P. Umbanhowar and H. Swinney, preprint (2000).Google Scholar
[3] Faraday, M., Philos. Trans. R. Soc. 121, 299 (1831).Google Scholar
[4] Clément, E., Vanel, L., Duran, J. and Rajchenbach, J., Phys. Rev. E 53, 2972 (1996).Google Scholar
[5] Luding, S., Clément, E., Rajchenbach, J. and Duran, J., Europhys. Lett, 36, 247 (1996).Google Scholar
[6] Bizon, C., Shatuck, M.D., Swift, J.B., McCormick, W.D. and Swinney, H., Phys. Rev. Lett. 80, 57 (1998)Google Scholar
[7] Bizon, C., Shattuck, M. D., and Swift, J. B., Phys. Rev. E 60, 7210 (1999).Google Scholar
[8] Labous, L., Thèse de Doctorat, Université Paris VI (1998); E. Clément, L. Labous preprint, submitted to Phys. Rev. E (2000).Google Scholar
[9] Walton, O. et al., J. Rheol. 30, 949 (1983).Google Scholar
[10] Bernu, B. and Mazighi, R., J. Phys. A 23, 5745 (1990);Google Scholar
MacNamara, S., Young, W.R., Phys. Fluid A 5, 34 (1993).Google Scholar
[11] Goldhirsch, I. and Zanetti, G., Phys. Rev. Lett. 70, 1619 (1993);Google Scholar
MacNamara, S. and Young, W.R., Phys. Rev. E 50, R28 (1994).Google Scholar