Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-07-02T05:06:17.475Z Has data issue: false hasContentIssue false

Avalanche Stratification - Experimental Tests of the “Metastable Wedge” and “Continuous Flow” Models

Published online by Cambridge University Press:  01 February 2011

M. E. Swanson
Affiliation:
The University of Minnesota, School of Physics and Astronomy, Minneapolis, MN 55455
M. Landreman
Affiliation:
The University of Minnesota, School of Physics and Astronomy, Minneapolis, MN 55455
J. Michel
Affiliation:
The University of Minnesota, School of Physics and Astronomy, Minneapolis, MN 55455
J. Kakalios
Affiliation:
The University of Minnesota, School of Physics and Astronomy, Minneapolis, MN 55455
Get access

Abstract

When an initially homogeneous binary mixture of granular media such as fine and coarse sand is poured near the closed edge of a “quasi-two-dimensional” Hele-Shaw cell consisting of two vertical transparent plates held a narrow distance apart, the mixture spontaneously forms alternating segregated layers. Experimental measurements of this stratification effect are reported in order to determine which model, one which suggests that segregation only occurs when the granular material contained within a metastable heap between the critical and maximum angle of repose avalanches down the free surface, or one for which the segregation results from smaller particles becoming trapped in the top surface and being removed from the moving layer during continuous flow. The result reported here indicate that the Metastable Wedge model provides a natural explanation for the initial mixed zone which precedes the formation of the layers, while the Continuous Flow model explains the observed upward moving kink of segregated material for higher granular flux rates, and that both mechansims are necessary in order to understand the observed pairing of segregated layersfor intermediate flow rates and cell separations.

Type
Research Article
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. Williams, J. C., Powder Tech. 2, 13 (1968).Google Scholar
2. Makse, Hernan A., Havlin, Shlomo, King, Peter B. and Eugene Stanley, H., Nature 386, 379 (1997).Google Scholar
3. Koeppe, J. P., Enz, M. and Kakalios, J., Phys. Rev. E 58, R4104 (1998).Google Scholar
4. Aeolian Geomorphology: An Introduction, by Livingstone, Ian and Warren, Andrew (Addison Wesley Longman Lmt., Singapore) 1996;Google Scholar
Sedimentary Structures, 2nd Ed., by Collinson, J. D. and Thompson, D. B. (Unwin Hyman Ltd., London) 1989;Google Scholar
Allen, J. R. L., Sedimentary Structures: Their Character and Physical Basis, (Elsevier, Amsterdam, 1982).Google Scholar
5. Paola, C., Wiele, S. M. and Reinhart, M. A., Sedimentology, 36, 47 (1989);Google Scholar
Arnott, R. C. and Hand, Bryce M., J. of Sedimentary Petrology, 59, 1062 (1989).Google Scholar
6. Middleton, G. V., Mechanics of Sediment Movement (S.E.P.M. Providence, RI) (1984); Geo. Assoc. of Canada, special paper No. 7, 253 (1970).Google Scholar
7. Nedderman, R. M., Tuzun, U., Savage, S. B. and Houlsby, G. T., Chem. Eng. Science 37, 1597 (1982).Google Scholar
8. Savage, S. B., Developments in Engineering Mechanics, ed. by Selvadurai, A. P. S. (Elsevier Science Publishers, Amsterdam) p. 347 (1987);Google Scholar
Savage, S. B. and Lun, C. K. K., J. Fluid Mech. 189, 311 (1988).Google Scholar
9. Ridgway, K. and Rupp, R., Powder Tech. 4, 195 (1970).Google Scholar
10. Drahun, J. A. and Bridgwater, J., Powder Tech. 36, 39 (1983).Google Scholar
11. Julien, P. Y., Lan, Y. Q. and Raslan, Y., Proc. of the Third Intl. Conf. on Powders and Grains, ed. by Behringer, Robert P. and Jenkins, James T. (A.A. Balkema, Rotterdam) p. 487 (1997).Google Scholar
12. Bagnold, R. A., The Physics of Blown Sand and Desert Dunes (Chapman and Hall, London) (1941).Google Scholar
13. Makse, Hernan A., Cizeau, Pierre and Eugene Stanley, H., Phys. Rev. Lett. 78, 3298 (1997);Google Scholar
Makse, Hernan A., Phys. Rev. E 56, 7008 (1997).Google Scholar
14. Boutreux, T. and deGennes, P.-G., J. Phys. (France) 6, 1295 (1996);Google Scholar
Boutreux, T., Eur. Phys. J. B 6, 419 (1998);Google Scholar
Boutreux, T., Makse, H. A. and deGennes, P.-G., Eur. Phys. J. B 9, 105 (1999).Google Scholar
15. Grasselli, Y. and Herrmann, H. J., Granular Media 1, 43 (1998);Google Scholar
Makse, Hernan A. and Herrmann, Hans J., Europhys. Lett. 43, 1 (1998).Google Scholar
16. Makse, Hernan A., Ball, Robin C., Eugene Stanley, H. and Warr, Steven, Phys. Rev. E 58, 3357 (1998).Google Scholar
17. Cizeau, P., Makse, H. A. and Eugene Stanley, H., Phys. Rev. E 59, 4408 (1999).Google Scholar
18. Dorogovtsev, S. N. and Mendes, J. F. F., Phys. Rev. E 61, 2909 (2000).Google Scholar