Microdynamic analysis of solid flow in a shear cell

Granular Matter - Tập 14 - Trang 411-421 - 2012
X. Wang1, H. P. Zhu2, A. B. Yu1
1Laboratory for Simulation and Modeling of Particulate Systems, School of Materials Science and Engineering, University of New South Wales, Sydney, Australia
2School of Engineering, University of Western Sydney, Penrith South DC, Australia

Tóm tắt

Granular flow in a model shear cell under conditions relevant to those in an annular cell is investigated based on the results obtained by means of the discrete element method. The spatial and statistical distributions of microdynamic variables such as velocity, porosity, coordination number and contact force are established, and the dependence of these variables on some key physical and operational parameters of particles and the cell is studied. It is shown that the normal pressure, shear velocity of the cell, particle friction coefficient and rolling friction coefficient have noticeable influences on these microdynamic variables. However, the effects of wall friction coefficient and damping coefficient are negligible. There is a linear relationship between overall coordination number and packing density, when the coordination number ranges between 5 and 6.5. The deviation from the relation derives from the cases where the normal pressure is varied as a result of the significant change in the normal contact forces between particles.

Tài liệu tham khảo

Zhu H.P., Zhou Z.Y., Yang R.Y., Yu A.B.: Discrete particle simulation of particulate systems: a review of major applications and findings. Chem. Eng. Sci. 63, 5728–5770 (2008) Schwedes J.: Review on testers for measuring flow properties of bulk solids. Granul. Matter 5, 1–43 (2003) Bilgili E., Yepes J., Stephenson L., Johanson K., Scarlett B.: Stress inhomogeneity in powder specimens tested in the Jenike shear cell: myth or fact?. Part. Part. Syst. Charact. 21, 293–302 (2004) Cui L., O’sullivan C.: Exploring the macro- and micro-scale response of an idealized granular material in the direct shear apparatus. Geotechnique 56, 455–468 (2006) Liu S.H., Sun D., Matsuoka H.: On the interface friction in direct shear test. Comput. Geotech. 32, 317–325 (2005) Liu S.H.: Simulating a direct shear box test by DEM. Can. Geotech. J. 43, 155–168 (2006) Masson S., Martinez J.: Micromechanical analysis of the shear behavior of a granular material. J. Eng. Mech. 127, 1007–1016 (2001) Lobo-Guerrero S., Vallejo L.E.: Discrete element method evaluation of granular crushing under direct shear test conditions. J. Geotech. Geoenviron. Eng. 131, 1295–1300 (2005) Thornton C., Zhang L.: Numerical simulations of the direct shear test. Chem. Eng. Technol. 26, 153–156 (2003) Zhang L., Thornton C.: A numerical examination of the direct shear test. Geotechnique 57, 343–354 (2007) Fenistein D., van Hecke M.: Kinematics—wide shear zones in granular bulk flow. Nature 425, 256 (2003) Fenistein D., van de Meent J.W., van Hecke M.: Universal and wide shear zones in granular bulk flow. Phys. Rev. Lett. 92, 094301 (2004) Dijksman J.A., van Hecke M.: Granular flows in split-bottom geometries. Soft Matter 6, 2901–2907 (2010) Hanes D.M., Inman D.L.: Observation of rapidly flowing granular-fluid materials. J. Fluid Mech. 150, 357–380 (1985) Savage S.B., Sayed M.: Stresses developed by dry cohesionless granular materials sheared in an annular shear cell. J. Fluid Mech. 142, 391–430 (1984) Neil A.U., Bridgwater J.: Attrition of particulate solids under shear. Powder Technol. 80, 207–219 (1994) Ghadiri M., Ning Z., Kenter S.J., Puik E.: Attrition of granular solids in a shear cell. Chem. Eng. Sci. 55, 5445–5456 (2000) Bridgwater J., Utsumi R., Zhang Z., Tuladhar T.: Particle attrition due to shearing-the effects of stress, strain and particle shape. Chem. Eng. Sci. 58, 4649–4665 (2003) Jorgensen K., Bach P., Jensen A.D.: Impact and attrition shear breakage of enzyme granules and placebo particles-application to particle design and formulation. Powder Technol. 149, 157–167 (2005) Ning Z., Ghadiri M.: Distinct element analysis of attrition of granular solids under shear deformation. Chem. Eng. Sci. 61, 5991–6001 (2006) Hsiau S.S., Shieh Y.H.: Fluctuations and self-diffusion of sheared granular material flows. J. Rheol. 43, 1049–1066 (1999) Hsiau S.S., Yang W.L.: Stresses and transport phenomena in sheared granular flows with different wall conditions. P. Fluids 14, 612–621 (2002) Hsiau S.S., Yang W.L.: Transport property measurements in sheared granular flows. Chem. Eng. Sci. 60, 187–199 (2005) Zhu H.P., Zhou Z.Y., Yang R.Y., Yu A.B.: Discrete particle simulation of particulate systems: theoretical developments. Chem. Eng. Sci. 62, 3378–3396 (2007) Cundall P.A., Strack O.D.L.: A discrete numerical model for granular assemblies. Geotechnique 29, 47–65 (1979) Lätzel M., Luding S., Herrmann H.J.: Macroscopic material properties from quasi-static, microscopic simulations of a two-dimensional shear-cell. Granul. Matter 2, 123–135 (2000) Luding S., Lätzel M., Volk W., Diebels S., Herrmann H.J.: From discrete element simulations to a continuum model. Comput. Methods Appl. Mech. Eng. 191, 21–28 (2001) Lätzel M., Luding S., Herrmann H.J., Howell D.W., Behringer R.P.: Comparing simulation and experiment of a 2D granular Couette shear device. Eur. Phys. J. E 11, 325–333 (2003) Luding S.: The effect of friction on wide shear bands. Part. Sci. Technol. 26, 33–42 (2008) Gaume J., Chambon G., Naaim M.: Quasistatic to inertial transition in granular materials and the role of fluctuations. Phys. Rev. E 84, 051304 (2011) Luding S., Alonso-Marroquín F.: The critical-state yield stress (termination locus) of adhesive powders from a single numerical experiment. Granul. Matter 13, 109–119 (2011) Hassanpour A., Ding Y., Ghadiri M.: Shear deformation of binary mixtures of dry particulate solids. Adv. Powder Technol. 15, 687–697 (2004) MiDi G.D.R.: On dense granular flows. Eur. Phys. J. E 14, 341–365 (2004) Baran O., Kondic L.: On velocity profiles and stresses in sheared and vibrated granular systems under variable gravity. Phys. Fluids 18, 121509 (2006) Zhu H.P., Yu A.B.: The effects of wall and rolling resistance on the couple stress of granular materials in vertical flow. Phys. A 325, 347–360 (2003) Wang, X., Zhu, H.P., Yu, A.B.: Flow properties of particles in an annular shear cell. Phys. Fluids (revised version under review) Zhou Y.C., Yu A.B., Stewart R.L., Bridgwater J.: Microdynamic analysis of the particle flow in a cylindrical bladed mixer. Chem. Eng. Sci. 59, 1343–1364 (2004) Zhu H.P., Yu A.B.: Micromechanic modeling and analysis of unsteady-state granular flow in a cylindrical hopper. J. Eng. Math. 52, 307–320 (2005) Zhu H.P., Yu A.B.: Steady-state granular flow in a three-dimensional cylindrical hopper with flat bottom: microscopic analysis. J. Phys. D Appl. Phys. 37, 1497–1508 (2004) Yang R.Y., Zou R.P., Yu A.B.: Microdynamic analysis of particle flow in a horizontal rotating drum. Powder Technol. 130, 138–146 (2003) Scott G.D.: Packing of spheres: packing of equal spheres. Nature 188, 908–909 (1960) Yang R.Y., Zou R.P., Yu A.B.: Computer simulation of the packing of fine particles. Phys. Rev. E 62, 3900–3908 (2000) Zhang Z.P., Liu L.F., Yuan Y.D., Yu A.B.: Numerical study of the effects of dynamic factors on the packing of particles. Powder Technol. 116, 23–32 (2001) Göncü F., Duran O., Luding S.: Constitutive relations for the isotropic deformation of frictionless packings of polydisperse spheres. C. R. Mec. 338, 570–586 (2010) Corwin E.I., Jaeger H.M., Nagel S.R.: Structural signature of jamming in granular media. Nature 435, 1075–1078 (2005)