Abstract
The velocity distribution of granular flow down a bumpy inclined plane is theoretically studied. The characteristic length scale of local transient cluster plays an important role in determining the flow rheology. After discussing the factors influencing the cluster size, we reproduce all observed velocity distributions successfully.
Similar content being viewed by others
References
A. Daerr & S. Douady, Nature 399 (1999), p. 241
O. Pouliquen, Phys. Fluids 11 (1999), p. 542
P. A. Lemieux & D. J. Durian, Phys. Rev. Lett. 85 (2000), p. 4273
B. Andreotti, A. Daerr & S. Douady, Phys. Fluids 14 (2002), p. 415
L. Bocquet, J. Errami & T. C. Lubensky, Phys. Rev. Lett. 89 (2002), 184301
D. Bonamy, F. Daviaud, L. Laurent, M. Bonetti & J. P. Bouchaud, Phys. Rev. Lett. 89 (2002), 034301
L. E. Silbert, J. W. Landry & G. S. Grest, Phys. Fluids 15 (2003), p. 1
S. B. Savege, Adv. Appl. Mech. 24, 289(1984); N. P. Kruyt, W. J. T. Verel, Powder Tech. 73 (1992), p. 109
R. A. Bagnold, Proc. Roy. Soc. London A 225 (1954), p. 49
S. B. Savege, R. M. Neddermann, U. Tuzün & G. T. Houlsby, Chem. Eng. Sci. 38 (1983), p. 189
D. M. Hanes & O. R. Walton, Powder Tech. 109 (2000), p. 133
B. Andreotti & S. Douady, Phys. Rev. E 63 (2001), 031305
A. C. Santomso & P. Canu, Chem. Eng. Sci. 56 (2001), p. 3563
P. C. Johnson, P. Nott, R. Jackson & J. Fluid Mech. 210 (1990), p. 501
L. E. Silbert, D. Ertaş, G. S. Grest, T. C. Halsey, D. Levine & S. J. Plimpton, Phys. Rev. E 64 (2001), 051302
C. Ancey, Phys. Rev. E 65 (2002), 011304
K. G. Anderson & R. Jackson, J. Fluid Mech. 241 (1992), p. 145
P. Mills, D. Loggia & M. Tixier, Europhys. Lett. 45 (1999), p. 733; P. Mills, M. Tixier, D. Loggia, Eur. Phys. J. E 1 (2000), p. 5
Y. Q. Wang & K. Hutter, Rheol. Acta 38 (1999), p. 214
C. Ancey & P. Evesque, Phys. Rev. E 62 (2000), p. 8349
D. Ertaş & T. C. Halsey, Europhys. Lett. 60 (2002), p. 931
I. S. Aranson & L. S. Tsimring, Phys. Rev. E 65 (2002), 061303
L. Bocquet, W. Losert, D. Schalk, T. C. Lubensky & J. P. Gollub, Phys. Rev. E 65 (2002), 011307
M. Y. Louge, Phys. Rev. E 67 (2003), 061303
H. Ahn, C. E. Brennen & R. H. Sabersky, ASME J. Appl. Mech. 58 (1991), p. 792
H. M. Jaeger, S. R. Nagel & R. P. Behringer, Rev. Mod. Phys. 68 (1996), p. 1259
A. Baldassarri, U. Marini Bettolo Marconi, A. Puglisi & A. Vulpiani, Phys. Rev. E 64 (2001), 011301
R. Mikkelsen, D. van der Meer, K. van der Weele & D. Lohse, Phys. Rev. Lett. 89 (2002), 214301
S. A. Hill & G. F. Mazenko, Phys. Rev. E 67 (2003), 061302
W. Polashenski, P. Zamankhan, S. Mäkiharju & P. Zamankhan, Phys. Rev. E 66 (2002), 021303; A. Ferguson, B. Fisher, B. Chakraborty, arXiv:cond-mat (2003), 0301201
H. Schlichting, Boundary-Layer Theory(McGraw-Hill (1968)), p. 527 and p. 545-549
D. V. Khakhar, J. J. McCarthy, T. Shinbrot & J. M. Ottino, Phys. Fluids 9 (1997), p. 31; A. V. Orpe, D. V. Khakhar, Phys. Rev. E 64 (2001), 031302
L. E. Silbert, G. S. Grest & S. J. Plimpton, Phys. Fluids 14 (2002), p. 2637
Author information
Authors and Affiliations
Corresponding author
Additional information
This research was supported by the National Key Basic Research and Development Foundation of the Ministry of Science and Technology of China No. G2000048702.
Rights and permissions
About this article
Cite this article
Wang, ZT. A note on the velocity of granular flow down a bumpy inclined plane. GM 6, 67–69 (2004). https://doi.org/10.1007/s10035-004-0158-x
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10035-004-0158-x