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Avalanche Segregation of Binary Mixtures of Granular Media

Published online by Cambridge University Press:  10 February 2011

J. Koeppe ,
M. Enz  and
J. Kakalios
J. Koeppe
Affiliation:
The University of Minnesota, School of Physics and Astronomy, Minneapolis, MN 55455
M. Enz
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
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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. Using digital images taken with a CCD camera and Fourier transformed to obtain the structure function of the banding pattern, the wavelength selection mechanism and degree of segregation are studied as the plate separation of the Hele-Shaw cell is systematically increased. For a given flow rate, the degree of segregation, as reflected in the amplitude of the peak in the structure function, decreases as the plate separation increases. For wider plate spacings the peak in the structure function shifts to lower wavelengths. These results are compared to numerical simulations of the avalanche segregation using a stochastic sandpile model.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 463: Symposia EE – Statistical Mechanics in Physics and Biology , 1996 , 319
Copyright
Copyright © Materials Research Society 1997

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References

REFERENCES

1. Physics of Granular Media, ed. by Bideau, D. and Hansen, A. (North-Holland, Amsterdam, 1993).Google Scholar
2. Disorder and Granular Media, ed. by Bideau, D. and Hansen, A. (Norm-Holland, Amsterdam, 1993).Google Scholar
3. Granular Matter, An Interdisciplinary Approach, ed. by Menta, Anita (Springer-Verlag, New York, 1994).Google Scholar
4. Olsen, James L. and Rippie, Edward G., J. Pharmaceutical Sci. 53, 147 (1964).Google Scholar
5. Jaeger, H. M. and Nagel, Sidney R., Science 255, 1523 (1992);Google Scholar
Knight, James B., Jaeger, H. M., and Nagel, Sidney R., Phys. Rev. Lett. 70, 3728 (1993).Google Scholar
6. Oyama, Y., Bull. Inst. Phys. Chem. Res. (Tokyo), Rep. 5, 600 (1939).Google Scholar
7. Donald, M. B. and Roseman, B., British Chem. Eng. 7, 749 (1962);Google Scholar
Roseman, B. and Donald, M. B., British Chem. Eng. 7, 823 (1962).Google Scholar
8. Bridgwater, J., Powder Tech. 15, 215 (1976);Google Scholar
Bridgwater, J., Sharpe, N. W. and Stocker, D. C, Trans. Instn. Chem. Engrs. 47, T114 (1969).Google Scholar
9. Das Gupta, S., Khakhar, D. V. and Bhatia, S. K., Powder Tech. 67, 145 (1991); Chemical Eng. Sci. 46, 1513 (1991).Google Scholar
10. Savage, Stuart B., in Disorder and Granular Media, edited by Bideau, D. and Hansen, A. (North-Holland, Amsterdam, 1993), p. 255.Google Scholar
11. Hill, K. M. and Kakalios, J., Phys. Rev. E 49, R3610 (1994);Google Scholar
Hill, K. M. and Kakalios, J., Phys. Rev. E 52, 4393 (1995).Google Scholar
12. Makse, H. A., Havlin, S., King, P. R. and Stanley, H. E., Bull. A.P.S. 41, 384 (1996) and this volume.Google Scholar
13. Williams, J. C, Powder Tech. 2, 13 (1968).Google Scholar
14. Allen, J. R. L., Sedimentary Structures: Their Character and Physical Basis (Elsevier, Amsterdam) (1982).Google Scholar
15. Middleton, G. V., Mechanics of Sediment Movement (S.E.P.M. Providence, RI) (1984).Google Scholar
16. Bagnold, R. A., The Physics of Blown Sand and Desert Dunes (Chapman and Hall, London) (1941).Google Scholar
17. Jopling, A. V., J. Geophysical Res. 69, 3403 (1964).Google Scholar
18. Fryberger, S. G. and Schenk, C., Sedimentology 28, 805 (1981).Google Scholar
19. Middleton, G. V., Geo. Assoc. of Canada, special paper no. 7, 253 (1970).Google Scholar
20. Hele-Shaw, H. S., Nature 58, 34 (1898).Google Scholar
21. Ridgway, K. and Rupp, R., Powder Tech. 4, 195 (1970).Google Scholar