Rolling motion of a bead in a rapid water stream

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 1 1, 2003, Pages 113031-1130311

  Ancey, Christophe ^a   Bigillon, Françoise ^b   Frey, Philippe ^a   Ducret, Rémi ^a  

^a Cemagref   (France)

^b 2524 Hydrosystem Lab   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

KINETIC ENERGY; PROBABILITY; ROLLING; ROUGHNESS MEASUREMENT; SEDIMENT TRANSPORT; WATER;

ROLLING MOTIONS;

STREAM FLOW;

EID: 0037717172     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. N.J. Balmforth and A. Provenzalle, in Geomorphological Fluid Mechanics edited by N.J. Balmforth and A. Provenzalle (Springer Verlag, Berlin, 2001), p. 369; Y.S. Yalin, River Mechanics (Pergamon Press, Oxford, 1992), p. 220.
2. N.J. Balmforth and A. Provenzalle, in Geomorphological Fluid Mechanics edited by N.J. Balmforth and A. Provenzalle (Springer Verlag, Berlin, 2001), p. 369; Y.S. Yalin, River Mechanics (Pergamon Press, Oxford, 1992), p. 220.
3. P. -Y. Julien, Erosion and Sedimentation (Cambridge University Press, Cambridge, 1994), p. 280.
4. H. Tsoar, in Geomorphological Fluid Mechanics, edited by N.J. Balmforth and A. Provenzalle (Springer Verlag, Berlin, 2001), p. 403.
5. H.M. Jaeger, C. Liu, S.R. Nagel, and T.A. Witten, Europhys. Lett. 7, 619 (1990); G.H. Ristow, F.-X. Riguidel, and D. Bideau, J. Phys. I 4, 1161 (1994); F.-X. Riguidel, R. Jullien, G.H. Ristow, A. Hansen, and D. Bideau, ibid. 4, 261 (1994); S. Dippel, G.G. Batrouni, and D.E. Wolf, Phys. Rev. E 56, 3645 (1997); S. Dippel, G.G. Batrouni, and D.E. Wolf, ibid. 54, 6845 (1996); L. Quartier, B. Andreotti, S. Douady, and A. Daerr, ibid. 62, 8299 (2000).
6. H.M. Jaeger, C. Liu, S.R. Nagel, and T.A. Witten, Europhys. Lett. 7, 619 (1990); G.H. Ristow, F.-X. Riguidel, and D. Bideau, J. Phys. I 4, 1161 (1994); F.-X. Riguidel, R. Jullien, G.H. Ristow, A. Hansen, and D. Bideau, ibid. 4, 261 (1994); S. Dippel, G.G. Batrouni, and D.E. Wolf, Phys. Rev. E 56, 3645 (1997); S. Dippel, G.G. Batrouni, and D.E. Wolf, ibid. 54, 6845 (1996); L. Quartier, B. Andreotti, S. Douady, and A. Daerr, ibid. 62, 8299 (2000).
7. H.M. Jaeger, C. Liu, S.R. Nagel, and T.A. Witten, Europhys. Lett. 7, 619 (1990); G.H. Ristow, F.-X. Riguidel, and D. Bideau, J. Phys. I 4, 1161 (1994); F.-X. Riguidel, R. Jullien, G.H. Ristow, A. Hansen, and D. Bideau, ibid. 4, 261 (1994); S. Dippel, G.G. Batrouni, and D.E. Wolf, Phys. Rev. E 56, 3645 (1997); S. Dippel, G.G. Batrouni, and D.E. Wolf, ibid. 54, 6845 (1996); L. Quartier, B. Andreotti, S. Douady, and A. Daerr, ibid. 62, 8299 (2000).
8. H.M. Jaeger, C. Liu, S.R. Nagel, and T.A. Witten, Europhys. Lett. 7, 619 (1990); G.H. Ristow, F.-X. Riguidel, and D. Bideau, J. Phys. I 4, 1161 (1994); F.-X. Riguidel, R. Jullien, G.H. Ristow, A. Hansen, and D. Bideau, ibid. 4, 261 (1994); S. Dippel, G.G. Batrouni, and D.E. Wolf, Phys. Rev. E 56, 3645 (1997); S. Dippel, G.G. Batrouni, and D.E. Wolf, ibid. 54, 6845 (1996); L. Quartier, B. Andreotti, S. Douady, and A. Daerr, ibid. 62, 8299 (2000).
9. H.M. Jaeger, C. Liu, S.R. Nagel, and T.A. Witten, Europhys. Lett. 7, 619 (1990); G.H. Ristow, F.-X. Riguidel, and D. Bideau, J. Phys. I 4, 1161 (1994); F.-X. Riguidel, R. Jullien, G.H. Ristow, A. Hansen, and D. Bideau, ibid. 4, 261 (1994); S. Dippel, G.G. Batrouni, and D.E. Wolf, Phys. Rev. E 56, 3645 (1997); S. Dippel, G.G. Batrouni, and D.E. Wolf, ibid. 54, 6845 (1996); L. Quartier, B. Andreotti, S. Douady, and A. Daerr, ibid. 62, 8299 (2000).
10. H.M. Jaeger, C. Liu, S.R. Nagel, and T.A. Witten, Europhys. Lett. 7, 619 (1990); G.H. Ristow, F.-X. Riguidel, and D. Bideau, J. Phys. I 4, 1161 (1994); F.-X. Riguidel, R. Jullien, G.H. Ristow, A. Hansen, and D. Bideau, ibid. 4, 261 (1994); S. Dippel, G.G. Batrouni, and D.E. Wolf, Phys. Rev. E 56, 3645 (1997); S. Dippel, G.G. Batrouni, and D.E. Wolf, ibid. 54, 6845 (1996); L. Quartier, B. Andreotti, S. Douady, and A. Daerr, ibid. 62, 8299 (2000).
11. C. Ancey, P. Evesque, and P. Coussot, J. Phys. 16, 725 (1996).
12. J.R. Smart and D.T. Leighton, Phys. Fluids A 1, 52 (1993); K.P. Galvin, Y. Zhao, and R.H. Davis, Phys. Fluids 13, 3108 (2001).
13. J.R. Smart and D.T. Leighton, Phys. Fluids A 1, 52 (1993); K.P. Galvin, Y. Zhao, and R.H. Davis, Phys. Fluids 13, 3108 (2001).
14. M.W. Reeks and D. Hall, J. Aerosol Sci. 32, 1 (2001).
15. G. Parker, J. Fluid Mech. 89, 127 (1978).
16. J. Buffington, J. Hydraul. Res. 125, 376 (1999).
17. K.L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1985), p. 452.
18. N. Maw, J.R. Barber, and J.N. Fawcett, Wear 1, 101 (1976); N. Maw, J.R. Barber, and J.N. Fawcett, J. Lubr. Technol. 103, 74 (1981); S. Foerster, M. Louge, H. Chang, and K. Allia, Phys. Fluids 6, 1108 (1994).
19. N. Maw, J.R. Barber, and J.N. Fawcett, Wear 1, 101 (1976); N. Maw, J.R. Barber, and J.N. Fawcett, J. Lubr. Technol. 103, 74 (1981); S. Foerster, M. Louge, H. Chang, and K. Allia, Phys. Fluids 6, 1108 (1994).
20. N. Maw, J.R. Barber, and J.N. Fawcett, Wear 1, 101 (1976); N. Maw, J.R. Barber, and J.N. Fawcett, J. Lubr. Technol. 103, 74 (1981); S. Foerster, M. Louge, H. Chang, and K. Allia, Phys. Fluids 6, 1108 (1994).
21. P.L. Wiberg and J.D. Smith, Water Resour. Res. 23, 1471 (1987).
22. C.-H. Ling, J. Hydraul. Res. 121, 472 (1995).
23. Y.-M. Chew and G. Parker, J. Hydraul. Res. 32, 649 (1994).
24. W.W. Willmarth and R.L. Enlow, J. Euid Mech. 36, 417 (1969); M.S. Howe, G.G. Lauchke, and J. Wang, ibid. 436, 41 (2001).
25. W.W. Willmarth and R.L. Enlow, J. Euid Mech. 36, 417 (1969); M.S. Howe, G.G. Lauchke, and J. Wang, ibid. 436, 41 (2001).
26. D.T. Gillespie, Markov Processes, an Introduction for Physical Scientists (Academic Press, San Diego, 1992); S.M. Ross and Simulation (Academic Press, San Diego, 1997).
27. D.T. Gillespie, Markov Processes, an Introduction for Physical Scientists (Academic Press, San Diego, 1992); S.M. Ross and Simulation (Academic Press, San Diego, 1997).
28. L. van Rijn, J. Hydraul. Res. 110, 1431 (1985).
29. C. Ancey, F. Bigillon, P. Frey, J. Lanier, and R. Ducret, Phys. Rev. E 66, 036306 (2002).
30. S.B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000), p. 771.
31. I. Nezu and H. Nakagawa, Turbulence in Open-Channel Flows (Balkema, Rotterdam, 1993), p. 281.
32. V.T. Chow, Open-Channel Hydraulics (McGraw Hill, New York, 1959).
33. S.A. Morsi and A.J. Alexander, J. Fluid Mech. 55, 193 (1972); R. Kurose and S. Kumori, ibid. 384, 183 (1999).
34. S.A. Morsi and A.J. Alexander, J. Fluid Mech. 55, 193 (1972); R. Kurose and S. Kumori, ibid. 384, 183 (1999).
35. J. Sheridan, J.C. Lin, and D. Rockwell, J. Fluid Mech. 330, 1 (1997).
36. W.H. Graf, Hydraulics of Sediment Transport (Water Resources Publications, Littleton, 1984).
37. R.A. Bagnold, Proc. R. Soc. London, Ser. A 249, 235 (1956).
38. A.N. Papanicolaou, S.P. Dipla, N. Evaggelopoulos, and S. Fotopoulos, J. Hydraul. Res. 128, 369 (2002).
39. G. Parker, C. Paola, and S. Leclair, J. Hydraul. Res. 126, 818 (2000).
40. I.V. Derevich, Int. J. Heat Mass Transf. 43, 3709 (2000); E. Peirano and J.-P. Minier, Phys. Rev. E 65, 046301 (2002).
41. I.V. Derevich, Int. J. Heat Mass Transf. 43, 3709 (2000); E. Peirano and J.-P. Minier, Phys. Rev. E 65, 046301 (2002).