Abstract.
We have performed experiments on narrow granular columns to test the validity of the Janssen law under such conditions. The weight at the bottom of the cylinder and the compression and movement of the packing have been measured. The apparent mass dependence on height is not in good agreement with the Janssen law using a one-parameter fit. A two-parameter fit yielded good results for the apparent mass during upward and downward movement at constant velocity of the granular column inside the enclosing cylinder. The dependence of the apparent mass on the diameter of the column does not follow the Janssen law. Rather, it depends strongly on details of the packing. A slow force relaxation was observed when stopping the translational stage after upward motion.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Duran (ed.), Sands, powders and grains: An introduction to granular materials (Springer Verlag, Berlin, 1999)
H.A. Janssen, Z. Verein Deutsch. Ing. 39, 1045 (1895)
R.M. Neddermann, Statics and kinematics of granular materials (Cambridge University Press, Cambridge, 1992)
C.V. Schwab, I.J. Ross, G.M. White, D.G. Colliver, Trans. ASAE 37, 1613 (1994)
S.A. Thompson, N. Galili, R.A. Williams, Trans. ASAE 39, 1093 (1996)
T. Jotaki, R. Moriyama, J. Soc. Powder Technol. Jpn. 14, 609 (1977)
J.H. Shaxby, J.C. Evans, Phil. Trans. Faraday Soc. 19, 60 (1923)
L. Vanel, E. Clement, Eur. Phys. J. B 11, 525 (1999)
L. Vanel, P. Claudin, J.P. Bouchaud, M.E. Cates, E. Clement, J.P. Wittmer, Phys. Rev. Lett. 84, 1439 (2000)
J.P. Wittmer, P. Claudin, M.E. Cates, J.P. Bouchaud, Nature 382, 336 (1996)
P.G. de Gennes, Rev. Mod. Phys. 71, 374 (1999)
P. Evesque, P.G. de Gennes, C. R. Acad. Sci. (Paris), Ser. II 326, 761 (1988)
E.G. Flekkøy, S. McNamara, K.J. Måløy, D. Gendron, Phys. Rev. Lett. 87, 134302 (2001)
D. Gidaspau, Multiphase Flow and Fluidization (Academic Press, San Diego, 1994)
J.L. Aider, N. Sommier, T. Raafat, J.P. Hulin, Phys. Rev. E 59, 778 (1999)
T. Raafat, J.P. Hulin, H.J. Herrmann, Phys. Rev. E 53, 4345 (1996)
Y. Bertho, F. Giorgiutti-Dauphine, J.P. Hulin, Phys. Rev. Lett. 90, 144301 (2003)
T. Baumberger, Europhys. Lett. 41, 617 (1998) and T. Baumberger, L. Gauthier. J. Phys. France I 6, 1021 (1996)
G. Løvoll, K.J. Måløy, E.G. Flekkøy, Phys. Rev. E 60, 5872 (1999)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bratberg, I., Måløy, K. & Hansen, A. Validity of the Janssen law in narrow granular columns. Eur. Phys. J. E 18, 245–252 (2005). https://doi.org/10.1140/epje/e2005-00030-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epje/e2005-00030-1