Measurements of particle dynamics in slow, dense granular Couette flow

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 67, Issue 1, 2003, Pages 13-

  Mueth, Daniel M ^a  

^a THE UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77953806759     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.67.011304     Document Type: Article

References (34)

1. H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Phys. Today 49 (4), 32 (1996).
2. R.A. Bagnold, Proc. R. Soc. London 225, 49 (1954).
3. S. Ogawa, A. Umemura, and N. Oshima, J. Appl. Math. Phys. 31, 483 (1980).
4. J.T. Jenkins and S.B. Savage, J. Fluid Mech. 130, 187 (1983).
5. D. Howell, R. P. Behringer, and C. Veje, in Powders & Grains 97, edited by R. P. Behringer and J. T. Jenkins (Balkema, Rotterdam, 1997), pp. 337–340.
6. D. Howell, R.P. Behringer, and C. Veje, Phys. Rev. Lett. 82, 5241 (1999).
7. See, for example, the videos at http://www.phy.duke.edu/(Formula presented)dhowell/research.html and http://mrsec.uchicago.edu/granular
8. A.J. Liu and S.R. Nagel, Nature (London) 21, 396 (1998).
9. G. Debregeas, H. Tabuteau, and J.-M. di Meglio, Phys. Rev. Lett. 87, 178305 (2001).
10. C.S. O’Hern, S.A. Langer, A.J. Liu, and S.R. Nagel, Phys. Rev. Lett. 86, 111 (2001).
11. D.M. Mueth, Nature (London) 406, 385 (2000).
12. D. W. Howell (private communication).
13. R. Khosropour, J. Zirinsky, H.K. Pak, and R.P. Behringer, Phys. Rev. E 56, 4467 (1997).
14. C.T. Veje, D.W. Howell, and R.P. Behringer, Phys. Rev. E 59, 739 (1999).
15. W. Losert, L. Bocquet, T.C. Lubensky, and J.P. Gollub, Phys. Rev. Lett. 85, 1428 (2000).
16. A. Karion, Ph.D. thesis, California Institute of Technology, Pasadena, California, 2000 (unpublished).
17. L. Bocquet, Phys. Rev. E 65, 011307 (2002).
18. For some examples of 3D imaging of Couette flow with x-ray tomography, see http://mrsec.uchicago.edu/granular
19. G.T. Seidler, Phys. Rev. E 62, 8175 (2000).
20. E. Fukushima, Annu. Rev. Fluid Mech. 31, 95 (1999).
21. M. Nakagawa, S. A. Altobelli, A. Caprihan, and E. Fukushima, in Powders & Grains 93, edited by C. Thornton (Balkema, Rotterdam, 1993), p. 383.
22. E.E. Ehrichs, Science 267, 1632 (1995).
23. J.D. Seymour, A. Caprihan, S.A. Altobelli, and E. Fukushima, Phys. Rev. Lett. 84, 266 (2000).
24. A. Caprihan and J.D. Seymour, J. Magn. Reson. 144, 96 (2000).
25. In 2D Couette systems, sheared under constant volume conditions, rough particles such as pentagons may actually produce a velocity profile that is very well fit by a pure exponential. Dan Howell and Bob Behringer (private communication).
26. G. Debregeas and C. Josserand, Europhys. Lett. 52, 137 (2000).
27. Note that the work of Losert et al. defines (Formula presented) as the outer edge of glued particle layer, while we define (Formula presented) as the inner edge of the glued particle layer. Thus, a Gaussian profile centered on (Formula presented) in our experiments, as seen for disordered materials, is equivalent to a Gaussian profile centered on (Formula presented) for the experiments of Losert et al.
28. P.K. Haff and B.T. Werner, Powder Technol. 48, 239 (1986).
29. C. Josserand, Europhys. Lett. 48, 36 (1999).
30. A.V. Tkachenko and V. Putkaradze, e-print cond-mat/9912187.
31. D.R. Nelson and M. Rubinstein, Philos. Mag. A 46, 105 (1982).
32. D. Bideau, A. Gervois, L. Oger, and J.-P. Toadec, J. Phys. (France) 47, 1697 (1986).
33. D.W. Howell, R.P. Behringer, and C.T. Veje, Chaos 9, 559 (1999).
34. P.K. Haff, J. Rheol. 30, 931 (1986).