Abstract
Rapid granular flow is diffusive in character. This diffusive nature is important in the generation of constitutive properties such as effective shear and bulk viscosities, effective conductivity of particle fluctuation energy, and self-diffusion coefficients. Experiments were performed in a large air-table apparatus that can sustain up to a few thousand small, light disks just above a horizontal porous plane. Experiments on 2D diffusion processes were performed using this apparatus. Measurements of self-diffusion coefficients and granular temperature in systems having different areal concentrations are in good agreement with predictions based on the kinetic theory and on numerical simulations.
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References
J. Lemaitre, A. Gervois, H. Peerhossaini, D. Bideau, and J. P. Troadec,J. Phys. D 23:1396 (1990).
E. J. Hinch and J. Lemaitre,J. Fluid Mech. 273:313 (1994).
S. B. Savage and D. J. Jeffrey,J. Fluid Mech. 110:225 (1981).
J. Lemaitre, J. P. Troadec, A. Gervois, and D. Bideau,Europhys. Lett. 14(1): 77 (1991).
D. Bideau, A. Gervois, L. Oger, and J. P. Troadec,J. Phys. (Paris)47:1697 (1986).
A. Einstein,Investigations on the Theory of the Brownian Motion (Dover, New York, 1956).
C. K. K. Lun, S. B. Savage, D. J. Jeffery, and N. Chepurniy,J. Fluid Mech. 140:223 (1984).
S. B. Savage, inPhysics of Granular Media, D. Bideau and J. A. Dodds, eds. (Nova Science, 1992), p. 343.
S. B. Savage and R. Dai,Mech. Materials 16:225 (1993).
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Oger, L., Annic, C., Bideau, D. et al. Diffusion of two-dimensional particles on an air table. J Stat Phys 82, 1047–1061 (1996). https://doi.org/10.1007/BF02179801
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DOI: https://doi.org/10.1007/BF02179801