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The interface between fluid-like and solid-like behaviour in two-dimensional granular flows

Published online by Cambridge University Press:  26 April 2006

Yi Zhang  and
Charles S. Campbell
Yi Zhang
Affiliation:
Department of Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1453, USA
Charles S. Campbell
Affiliation:
Department of Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1453, USA
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Abstract

The effective phase change from fluid behaviour to solid behaviour, that too often occurs in granular flow and brings with it such unwelcome events as funnel flows in hoppers and clogging of other material handling devices, is studied using a discrete particle computer simulation of a Couette flow with gravity. This simulation exhibits the full range of granular flow behaviour, from a stagnant solid-like material, through a quasi-static transition zone, to a rapid granular flow. The most important result is that the first movement in the material just above the static bed occurs in a quasi-static mode at a fixed value of the stress ratio τxy/τyy. Thus, it appears that the primary transition from solid to fluid behaviour is a yield-like phenomenon and can be described by a Mohr-Coulomb-type failure criterion.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 237 , April 1992 , pp. 541 - 568
Copyright
© 1992 Cambridge University Press

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References

Campbell, C. S. 1982 Shear flows of granular materials. PhD thesis; Rep. E-200.7. Division of Engineering and Applied Science, California Institute of Technology, 260 pp.
Campbell, C. S. 1986a Computer simulation of rapid granular flows. In Proc. 10th US Natl Congr. of Applied Mechanics, Austin Texas, June 1986, pp. 327–338, ASME.Google Scholar
Campbell, C. S. 1986b The effect of microstructure development on the collisional stress tensor in a granular flow. Acta Mech. 63, 61–72.Google Scholar
Campbell, C. S. 1988 Boundary interactions for two-dimensional granular flows: asymmetric stresses and couple stresses. In Micromechanics of Granular Materials (ed. M. Satake & J. T. Jenkins), pp. 163–174. Elsevier.
Campbell, C. S. 1989 The stress tensor for simple shear flows of a granular material. J. Fluid Mech. 203, 449–473.Google Scholar
Campbell, C. S. 1900 Rapid granular flows. Ann. Rev. Fluid Mech. 22, 57–92.Google Scholar
Campbell, C. S. 1992 Boundary interactions for two-dimensional granular flows. Part 1. The type A and type B boundary conditions. J. Fluid Mech. (submitted).Google Scholar
Campbell, C. S. & Brennen, C. E. 1985 Computer simulation of granular shear flows. J. Fluid Mech. 151, 167–188.Google Scholar
Campbell, C. S. & Gong, A. 1986 The stress tensor in a two-dimensional granular shear flow. J. Fluid Mech. 164, 107–125.Google Scholar
Campbell, C. S. & Gong, A. 1987 Boundary conditions for two-dimensional granular flows. In Proc. Sino-US Intl Symp. on. Multiphuse Flows, Hangzhou, China, August, 1987, Volume I, pp. 278–283. Zhejiang University Press.
Campbell, C. S. & Zhang, Y. 1989 Solidification, leading to clogging in powder flows: a progress report to the international fine particle research institute. Rep. IFPRI.1. Department of Mechanical Engineering, University of Southern California, 41 pp.
Jenkins, J. T. & Askari, E. 1991 Boundary conditions for granular flows: phase interfaces. J. Fluid Mech. 223, 497–508.Google Scholar
Jenkins, J. T. & Richman, M. W. 1986 Boundary conditions for plane flows of smooth, nearly elastic, circular disks. J. Fluid Mech. 171, 53–69.Google Scholar
Johnson, P. C. & Jackson, R. 1987 Frictional-collisional constitutive relations for granular materials with applications to plane shearing. J. Fluid Mech. 176, 67–93.Google Scholar
Nguyen, T. V. 1979 Studies in the flow of granular materials. PhD thesis; Rep. E200.1, California Institute of Technology, 143 pp.
Nguyen, T. V., Brennen, C. E. & Sabersky, R. H. 1980 Funnel flow in hoppers. Trans. ASME E: J. Appl. Mech. 47, 729–735Google Scholar
Savage, S. B. & Jeffrey, D. J. 1981 The stress tensor in a granular flow at high shear rates. J. Fluid Mech. 110, 255–272.Google Scholar
Savage, S. R. & Sayed, M. 1984 Stresses developed by dry cohensionless granular materials in an annular shear cell. J. Fluid Mech. 142, 391–430.Google Scholar
Wolf, E. H. & Hohenleiten, H. L. von 1945 Experimental study of the flow of coal in chutes at Riverside generating plant. Trans. ASME 67, 585–599.Google Scholar
Zhang, Y. & Campbell, C. S. 1990 Errodable boundaries in granular flow. In Proc. Second World Congress on Particle Technology, Kyoto, Japan, September, 1990, Part II, 166–173.