Abstract
Granular material is a collection of macroscopic particles that are visible with naked eyes. The non-equilibrium nature of the granular materials makes their rheology quite different from that of molecular systems. In this minireview, we present the unique features of granular materials focusing on the shear flow of dry granular materials and granule-liquid mixture.
Similar content being viewed by others
References
H.M. Jaeger, S.R. Nagel, R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996)
J. Duran, Sands, Powders, and grains: introduction to the physics of granular materials (Springer, New York, 1997)
R.A. Bagnold, Proc. Roy. Soc. Lond. A 225, 49 (1954)
T. Pöschel, S. Luding (eds.), Granular Gases (Springer-Verlag, Berlin, Germany, 2001)
S.N. Coppersmith, C.h. Liu, S. Majumdar, O. Narayan, T.A. Witten, Science 269, 513 (1995)
C.h. Liu, S.R. Nagel, D.A. Shecter, S.N. Coppersmith, S. Majumdar, O. Narayan, T.A. Witten, Science 269, 513 (1995)
F. Radjai, M. Jean, J.J. Moreau, S. Roux, Phys. Rev. Lett. 77, 274 (1996)
J. Geng, G. Reydellet, E. Clément, R.P. Behringer, Phys. D 182, 274 (2003)
D. Howell, R.P. Behringer, C. Veje, Phys. Rev. Lett. 82, 5241 (1999)
C.T. Veje, D.W. Howell, R.P. Behringer, Phys. Rev. E 59, 739 (1999)
M. Lätzel, S. Luding, H.J. Herrmann, Gran. Matt. 2, 123 (2000)
N. Mitarai, H. Nakanishi, J. Phys. Soc. Jpn. 70, 2809 (2001)
N. Mitarai, H. Hayakawa, H. Nakanishi, Phys. Rev. Lett. 88, 174301 (2002)
T.G. Drake, J. Fluid Mech. 225, 121 (1991)
E. Azanza, R. Chevoir, P. Moucheront, J. Fluid Mech. 400, 199 (1999)
P.K. Haff, J. Fluid Mech. 134, 401 (1983)
J.T. Jenkins, S.B. Savage, J. Fluid Mech. 130, 187 (1983)
C.S. Campbell, Ann. Rev. Fluid Mech. 22, 57 (1990)
N. Sela, I. Goldhirsch, J. Fluid Mech. 361, 41 (1998)
I. Goldhirsch, in Modeling in Applied Sciences: A Kinetic Theory Approach (Birkhäuser, Boston, 2000)
R.A. Bagnold. Sand, Wind & War – Memoirs of a Desert Explorer (The University of Arizona Press, 1990)
A. Einstein, Annal. Physik 19, 289 (1906)
O. Pouliquen, Phys. Fluids 11, 542 (1999)
GDRMiDi, Eur. Phys. J. E 14, 341 (2004)
L.E. Silbert, D. Ertas, G.S. Grest, T.C. Halsey, D. Levine, S.J. Plimpton, Phys. Rev. E 64, 051302 (2001)
N. Mitarai, H. Nakanishi, Phys. Rev. Lett. 94, 128001 (2005)
V. Kumaran, J. Fluid Mech. 506, 1 (2004)
T. Hatano, J. Phys. Soc. Jpn. 77, 123002 (2008)
J.J. Brey, J.W. Dufty, A. Santos, J. Stat. Phys. 87, 1051 (1997)
J.-P. Hansen, I.R. MacDonald, Theory of Simple Liquids, 2nd edn. (Academic press, 1986)
V. Garzo, J.W. Dufty, Phys. Rev. E 59, 5895 (1999)
C.K.K. Lun, S.B. Savage, D.J. Jeffrey, N. Chepurniy, J. Fluid Mech. 223, 223 (1984)
J.T. Jenkins, M.W. Richman, Phys. Fluids 28, 3485 (1985)
C.K.K. Lun, J. Fluid Mech. 233, 539 (1991)
T.P.C. van Noije, M.H. Ernst, Phys. Rev. E 61, 1745 (2000)
N. Mitarai, H. Nakanishi, Phys. Rev. E 75, 031305 (2007)
K.A. Reddy, V. Kumaran, Phys. Rev. E 76, 061305 (2007)
D.J. Evans, G.P. Morriss, Statistical mechanics of nonequilibrium liquids, Chapter 6 (Academic press, London, 1990)
N. Mitarain, F. Nori, Adv. Phys. 55, 1 (2006)
N. Mitarai, H. Nakanishi, Europhys. Lett. 88, 64001 (2009)
F.S. Merkt, R.D. Deegan, D.I. Goldman, E.C. Rericha, H.L. Swinney, Phys. Rev. Lett. 92, 184501 (2004)
H. Ebata, S. Tatsumi, M. Sano, Phys. Rev. E 79, 066308 (2009)
A. Fall, N. Huang, F. Bertrand, G. Ovarlez, D. Bonn, Phys. Rev. Lett. 100, 018301 (2008)
E. Brown, H.M. Jaeger, Phys. Rev. Lett. 103, 086001 (2009)
O. Reynolds, Phil. Mag. S5, 469 (1885)
N.J. Norman, J.F. Brady, Phys. Today 62, 27 (2009)
D.A. Head, A. Ajdari, M.E. Cates, Phys. Rev. E 64, 061509 (2001)
C.B. Holmes, M.E. Cates, M. Fuchs, P. Sollich, J. Reol. 49, 237 (2005)
H. Nakanishi, N. Mitarai, J. Phys. Soc. Jpn. 80, 033801 (2011)
C.B. Holmes, M.E. Cates, M. Fuchs, P. Sollich, J. Reol. 49, 237 (2005)
H. Nakanishi, N. Mitarai, J. Phys. Soc. Jpn. 80, 033801 (2011)
H. Nakanishi, S. Nagahiro, N. Mitarai, Fluid dynamics of dilatant fluid (in preparation)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mitarai, N., Nakanishi, H. Granular flow: Dry and wet. Eur. Phys. J. Spec. Top. 204, 5–17 (2012). https://doi.org/10.1140/epjst/e2012-01548-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2012-01548-8