Skip to main content
SpringerLink
Log in

Continuous Flows and Avalanches of Grains

  • Chapter
Physics of Dry Granular Media

Part of the book series: NATO ASI Series ((NSSE,volume 350))

Abstract

We review both experimental and theoretical works concerning granular flows. We successively address the regime of slow deformations, which is mainly governed by sterical interactions and friction forces, then the rapid flow regime, which deals with inelastic collisions, and lastly the regime of intermittent avalanches.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. I.Goldhirsch, G.Zanetti, Phys.Rev.Lett 70,1619 (1993)

    Google Scholar 

  2. I Goldhirsch, M.L.Tan, G.Zanetti, J.Comp.Sci., 8,1 (1993), I.Goldhirsch (this issue)

    Google Scholar 

  3. S.McNamara and W,R.Young, Phys.Fluids A4, 496 (1992)

    Google Scholar 

  4. S.McNamara and W,R.Young Phys.Fluids A5,34 (1993)

    Google Scholar 

  5. S.McNamara and W,R.Young Phys.Rev. E50, R28 (1994)

    Google Scholar 

  6. G.Hagen, Berl.Monatsb.Akad.d.Wiss.,35 (1852)

    Google Scholar 

  7. W.J.W.Rankine, Phil.Trans.Roy.Soc.London 147, 9 (1857)

    Google Scholar 

  8. J.Litwiniszyn, Rheol. Acta 2/3, 146, (1958)

    Google Scholar 

  9. J.Litwiniszyn J.Chem.Phys. 36, 1235, (1962)

    Google Scholar 

  10. J.Litwiniszyn Btu11.Acad.Pol.Sci.,Sér.Sci.Tech. 11, 593,(1963)

    Google Scholar 

  11. M W.W.Mullins J.App.Phys., 43,665,(1972)

    Google Scholar 

  12. M W.W.Mullins Powder Tech. 23, 115, (1976)

    Google Scholar 

  13. M W.W.Mullins Powder Tech. 9, 29, (1974)

    Google Scholar 

  14. C H.S.Caram and D.C.Hong, Phys.Rev.Lett 67, 828, (1991)

    Google Scholar 

  15. for example, see S.Krenk (this issue), P.A.Vermeer (this issue.)

    Google Scholar 

  16. N R.M.Nedderman,U.Tiiziin, Powd.Tech. 22, 243, (1979)

    Google Scholar 

  17. T.Hwa and M.Kardar, Phys.Rev.Lett. 62, 1813 (1989)

    Google Scholar 

  18. K.Nagel and M.Schrekenberg, J.Physique (France) I2, 2221 (1992), D.Helbing (this issue ), D.Wolf (this issue)

    Google Scholar 

  19. S.B.Savage in ’Theoretical and applied Mechanics’ p 241, P.Germain, M.Piau and D.Caillerie Eds, Elsevier (Amsterdam 1989)

    Google Scholar 

  20. K.Hutter and K.R.Rajagopal, Continuum Mech. Therm. 6, 81 (1994)

    Google Scholar 

  21. P.K.Haff J.Fluid Mech. 134, 401 (1983)

    Google Scholar 

  22. S.B.Savage and D.J.Jeffrey, J.Fluid Mech. 110, 255 (1981)

    Google Scholar 

  23. J.T.Jenkins and S.B.Savage, J.Fluid Mech. 130, 186 (1983)

    Google Scholar 

  24. J.T.Jenkins and M.W.Richman, Phys. Fluids 28, 3485 (1985)

    Google Scholar 

  25. C.K.K.Lun and S.B.Savage, J. App. Medi. 63, 15 (1987)

    Google Scholar 

  26. J.T.Jenkins and D.Hanes, Phys. Fluids A5, 781 (1993)

    Google Scholar 

  27. I.Goldhirsch, (this issue)

    Google Scholar 

  28. R.A.Bagnold, Proc.Roy.Soc.London, Ser.A, 255, 49, (1954)

    Article  Google Scholar 

  29. J.Rajchenbach, E.Clément and J.Duran in “Fractal aspects of Materials”,p. 525

    Google Scholar 

  30. F.Family, P.Meakin, B.Sapoval and R.Wool, Editors (M.R.S.Symposium, Vol 367, Pittsburgh 1995 )

    Google Scholar 

  31. J.Rajchenbach, E.Clément, J.Duran and T.Mazozi, in “Scale invariance, Interfaces and Non-Equilibrium Dynamics”p. 313 A.McKane, M.Droz, J.Vannimenus, D.Wolf eds, Plenum, ( New York, 1995 ).

    Google Scholar 

  32. S.Dippel, private communication.

    Google Scholar 

  33. J.J.Moreau, private communication.

    Google Scholar 

  34. B.Bernu and R.Mazighi, J.Phys.A 23, 5745 (1990)

    Article  ADS  MATH  Google Scholar 

  35. P.Bak, C.Tang and K.Wiesenfield, Phys.Rev.Lett. 59, 381, (1987) and P.Bak, C.Tang and K.Wiesenfield, Phys.Rev.A 38, 364, (1988)

    Google Scholar 

  36. J.M.Carlson and J.S.Langer, Phys.Rev.Lett. 62, 2632 (1989)

    Google Scholar 

  37. P.W.Anderson, Bulletin of the Santa Fe Institute 4, 13 (1989)

    Google Scholar 

  38. P.Bak, Physica A163, 403 (1990)

    Google Scholar 

  39. T.Riste and D.Sherrington, Spontaneous Formation of Space-Time Structures and Criticality,Kluwer Academic Press (Dordrecht 1991)

    Google Scholar 

  40. A.McKane, M.Droz, J.Vannimenus, D.Wolf, Scale invariance, Interfaces and Non-Equilibrium. Dynamics Plenum (New York 1994).

    Google Scholar 

  41. S.F.Edwards and D.R.Wilkinson, Proc.Roy.Soc. London A 381, 17 (1982)

    Google Scholar 

  42. P.Evesque and J.Rajchenbach, C.R.A.S.307,Ser.II, 223,(1988), P.Evesque and J.Rajchenbach in Powders and Grains 89, J.Biarez and R.Gourves Eds, Balkema (Rotterdam, 1989 ).

    Google Scholar 

  43. H.M.Jaeger, C.H.Liu,S.R.Nagel, Phys.Rev.Lett. 62, 40, (1989)

    Google Scholar 

  44. G.A.Held, D.H.Solina, D.T.Keane, W.J.Haag, P.M.Horn, G.Grinstein, Phys.Rev.Lett. 65, 1120 (1990)

    Google Scholar 

  45. G.Grumbacher, K.McEwen, D.A.Halverson, D. T. Jacobs and J.Lindner, Am.J.Phys. 61, 329 (1993)

    Google Scholar 

  46. H.M.Jaeger, S.R.Nagel, Science, 1523 (March 1992)

    Google Scholar 

  47. R.A.Bagnold, Proc.Roy.Soc.London, Ser. A295, 221, (1966)

    Google Scholar 

  48. O.Reynolds, Phil.Mag. 20, 469 (1885)

    Google Scholar 

  49. H.M.Jaeger, C.H.Liu,S.R.Nagel, Europh.Lett. 11, 619, (1990)

    Google Scholar 

  50. E.Morales-Gamboa, J.Lomnitz-Adler, V.Romero-Rochin, R.Chicharo- Sera, R.Peralta-Fabi, Phys.Rev.E 47, R2229 (1994)

    Google Scholar 

  51. G.Benza, F.Nori, O.Pla, Phys.Rev.E 48, 4095, (1993)

    Google Scholar 

  52. C.Caponeri, S.Douady, S.Fauve, S.Laroche, in “Mobile Particulate Systems”p 331, E.Guazzelli and L.Oger Eds., Kluwer Academic Publishers, Dordrecht 1995

    Google Scholar 

  53. S.J.Linz, P.Hänggi, Phys.Rev.E 50, 3464 (1994), S.J.Linz, P.Hänggi, Phys.Rev.E 51, 2538 (1995)

    Google Scholar 

  54. J.P.Bouchaud, M.E.Cates, J.Ravi-Prakash and S.F.Edwards, Phys.Rev.Lett. 74, 1982 (1995)

    Google Scholar 

  55. J.P.Bouchaud, M.E.Cates, J.Ravi-Prakash and S.F.Edwards J.Physique I 4 France, 1383 (1994)

    Google Scholar 

  56. A. Mehta, R. J. Needs, S. Dattagupta, J. Stat. Phys. 68, 1131 (1992)

    Google Scholar 

  57. A. Mehta, G. Barker, Phys. Rev. Lett. 67, 394 (1991)

    Article  ADS  Google Scholar 

  58. A. Mehta, G. Barker Rep. Prog. Phys. 57, 83, (1994)

    Article  Google Scholar 

  59. A. Mehta, J.M.Luck and R. J. Needs, Phys.Rev.E 53, 92 (1996)

    Article  ADS  Google Scholar 

  60. A. Mehta, in `Granular Matter: an interdisciplinary approach’,A. Mehta Ed., Springer (1994) and references therein.

    Google Scholar 

  61. P.G. de Gennes, C.R. Acad. Sci. (Paris) 321 Série II, 501, (1995)

    Google Scholar 

  62. T.Boutreux and P.G. De Gennes, J.Physique I France 6, 1295 (1996)

    Google Scholar 

  63. J.R.ajchenbach, Phys.Rev.Lett. 65, 2221 (1990)

    Google Scholar 

  64. J.Rajcteenbach, to be published.

    Google Scholar 

  65. J.P.Bouchaud and M.E. Cates, private communication.

    Google Scholar 

  66. H.B.MÜlhaus, I.Vardoulakis, Géotechnique 37, 271 (1987)

    Google Scholar 

  67. L.Limat, to be published

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire des Milieux Désordonnés et Hétérogènes CNRS URA 800, Université Pierre et Marie Curie, B 86, 4 Place Jussieu, 75252, Paris Cedex 05, France

    J. Rajchenbach

Authors
  1. J. Rajchenbach
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute for Computer Applications 1, University of Stuttgart, Stuttgart, Germany

    H. J. Herrmann , J.-P. Hovi  & S. Luding ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Rajchenbach, J. (1998). Continuous Flows and Avalanches of Grains. In: Herrmann, H.J., Hovi, JP., Luding, S. (eds) Physics of Dry Granular Media. NATO ASI Series, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2653-5_31

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-2653-5_31

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5039-7

  • Online ISBN: 978-94-017-2653-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation