Kinetic theory for identical, frictional, nearly elastic disks

Physics of Fluids

Volumn 17, Issue 8, 2005, Pages 1-10

  Yoon, David K ^a   Jenkins, James T ^a  

^a Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; FLOW OF FLUIDS; FLUID STRUCTURE INTERACTION; FRICTION; MATHEMATICAL MODELS; VELOCITY;

BINARY COLLISION; ELASTIC DISKS; FRICTION COEFFICIENT; VELOCITY DISTRIBUTION;

KINETIC THEORY;

KINETICS;

EID: 24144453176     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2000768     Document Type: Article

References (11)

1. C. K. K. Lun, S. B. Savage, D. J. Jeffrey, and N. Chepurniy, "Kinetic theories for granular flow: Inelastic particles in Couette flow and slightly inelastic particles in a general flowfield," J. Fluid Mech. JFLSA7 0022-1120 140, 223 (1984).
2. J. T. Jenkins and M. W. Richman, "Grad's 13-moment system for a dense gas of inelastic spheres," Arch. Ration. Mech. Anal. AVRMAW 0003-9527 87, 355 (1985).
3. N. Sela and I. Goldhirsch, "Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112098008660 361, 41 (1998).
4. C. K. K. Lun, "Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres," J. Fluid Mech. JFLSA7 0022-1120 233, 539 (1991).
5. J. T. Jenkins and M. W. Richman, "Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks," Phys. Fluids PFLDAS 0031-9171 10.1063/1.865302 28, 3485 (1985).
6. O. R. Walton, in Particle Two-Phase Flow, edited by M. C. Roco (Butterworth, London, 1993), pp. 884-907.
7. S. F. Foerster, M. Y. Louge, H. Chang, and K. Allia, "Measurements of the collision properties of small spheres," Phys. Fluids PHFLE6 1070-6631 10.1063/1.868282 6, 1108 (1994).
8. O. Herbst, M. Huthmann, and A. Zippelius, "Dynamics of inelastically colliding spheres with Coulomb friction: Relaxation of translational and rotational energy," Granular Matter GRMAFE 1434-5021 2, 211 (2000).
9. J. T. Jenkins and C. Zhang, "Kinetic theory for identical, frictional, nearly elastic spheres," Phys. Fluids PHFLE6 1070-6631 10.1063/1.1449466 14, 1228 (2002).
10. C. S. Chou and M. W. Richman, "Constitutive theory for homogeneous granular shear flows of highly inelastic spheres," Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00265-9 259, 430 (1998).
11. N. Mitarai and H. Nakanishi, "Bagnold scaling, density plateau, and kinetic theory analysis of dense granular flow," Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.128001 94, 128001 (2005).