Dense inclined flows of inelastic spheres: Tests of an extension of kinetic theory

Granular Matter

Volumn 12, Issue 2, 2010, Pages 151-158

  Jenkins, James T ^a   Berzi, Diego ^b  

^a Department of Obstetrics Gynecology   (United States)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Dense grain flow; Inclined flow; Inelastic spheres

Indexed keywords

COLLISIONAL RATES; FRICTIONAL SPHERES; GRAIN FLOW; INCLINED FLOW; LENGTH SCALE; NUMERICAL SIMULATION; ON FLOW; PHYSICAL EXPERIMENTS;

COMPUTER SIMULATION; EXPERIMENTS; FRICTION; KINETIC THEORY;

SPHERES;

EID: 77954620698     PISSN: 14345021     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10035-010-0169-8     Document Type: Conference Paper

References (30)

1. Mitarai, N., Nakanishi, H.: Velocity correlations in dense granular shear flows: effects on energy dissipation and normal stress. Phys. Rev. E 75, 031305(2007)
2. Reddy, K.A., Kumaran, V.: Applicability of constitutive relations from kinetic theory for dense granular flow. Phys. Rev. E 76, 061305 (2007)
3. Lois, G., Carlson, J., Lemaitre, A.: Numerical tests ofconstitutive laws for dense granular fows. Phys. Rev. E 72, 051303 (2005)
4. Lois, G., Lemaitre, A., Carlson, J.: Emergence of multi-contact interactions in contact dynamics simulations. Europhys. Lett. 76, 318(2006)
5. Mills, P., Rognon, P.G., Chevoir, F.: Rheology and structure of granular materials near the jamming transition. Europhys. Lett. 81, 64005 (2008)
6. Goldman, D.I., Swinney, H.L.: Signatures of glass formation in a fluidized bed of hard spheres. Phys. Rev. Lett. 96, 145702 (2006)
7. Schröter, M., Nägle, S., Radin, C., Swinney, H.L.: Phase transition in a static granular system. Europhys. Lett. 78, 44004 (2007)
8. Hatano, T., Otsuki, M., Sasa, S.: Criticality and scaling relations in a sheared granular material. J. Phys. Soc. Japan 76, 023001 (2007)
9. Ertas, D., Halsey, T.C.: Granular gravitational collapse and chute flow. Europhys. Lett. 60, 931 (2002)
10. Kumaran, V.: The constitutive relation for the granular flow of rough particles and its application to the flow down an incline plane. J. Fluid Mech. 561, 1 (2006)
11. Jenkins, J.T.: Dense shearing flows of inelastic disks. Phys. Fluids 18, 103307 (2006)
12. Jenkins, J.T.: Dense inclined flows of inelastic spheres. Gran. Matt. 10, 47 (2007)
13. Garzo, V., Dufty, J.W.: Dense fluid transport for inelastic hard spheres. Phys. Rev. E 59, 5895 (1999)
14. Pouliquen, O.: Scaling laws in granular flows down a bumpy inclined plane. Phys. Fluids 11, 542 (1999)
15. Jop, P., Forterre, Y., Pouliquen, O.: Crucial role of sidewalls in granular surface flows: consequences for the rheology. J. Fluid Mech. 451, 167 (2005)
16. Jenkins, J.T., Richman, M.W.: Grad's 13-moment system for a dense gas of inelastic spheres. Arch. Ration. Mech. Anal. 87, 355 (1985)
17. MiDi, G.D.R.: On dense granular flows. Eur. Phys. J. E 14, 341 (2004)
18. Da Cruz, F., Emem, S., Prochnow, M., Roux, J.-N., Chevoir, F.: Rheophysics of dense granular materials: discrete simulation of plane shear flows. Phys. Rev. E 72, 021309 (2005)
19. Jenkins, J.T., Zhang, C.: Kinetic theory for identical, frictional, nearly elastic spheres. Phys. Fluids 14, 1228 (2002)
20. Yoon, D.K., Jenkins, J.T.: Kinetic Theory for identical, frictional, nearly elastic disks. Phys. Fluids 17, 083301 (2005)
21. Carnahan, N.F., Starling, K.E.: Equations of state of non-attracting rigid spheres. J. Chem. Phys. 51, 635 (1969)
22. Herbst, O., Huthmann, M., Zippelius, A.: Dynamics ofinelastically colliding spheres with Coulomb friction: dynamics of the relaxation of translational and rotational energy. Gran. Matt. 2, 211 (2000)
23. Foerster, S.F., Louge, M.Y., Chang, H., Allia, K.: Measurements of Collision properties of small spheres. Phys. Fluids 6, 1108 (1994)
24. Torquato, S.: Nearest-neighbor statistics for packings of hard spheres and disks. Phys. Rev. E 51, 3170 (1995)
25. Richman, M.W.: Boundary conditions based on a modified Max- wellian velocity distribution function for flows of identical, smooth, nearly elastic spheres. Acta Mech. 75, 227 (1988)
26. Jenkins, J.T.: Boundary conditions for collisional grain flows at bumpy, frictional walls. In: Poschel, T., Luding, S. (eds.) Granular Gases 125, Springer, Berlin (2001)
27. Pasini, J.M., Jenkins, J.T.: Aeolian transport with collisional suspension. Phil. Trans. Roy. Soc. 363, 1625 (2005)
28. Jenkins, J.T., Hanes, D.M.: The balance of momentum and energy at an interface between colliding and freely flying grains in a rapid granular flow. Phys. Fluids A 5, 781 (1993)
29. Silbert, L.E., Ertas, D., Grest, G.S., Halsey, T.C., Levine, D., Plimpton, S.J.: Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 64, 51302 (2001)
30. Mitarai, N., Nakanishi, H.: Bagnold scaling, density plateau, and kinetic theory analysis of dense granular flow. Phys. Rev. Lett. 94, 128001 (2005)