Kinetic theory of a binary mixture of nearly elastic disks

Physics of Fluids

Volumn 11, Issue 10, 1999, Pages 3116-3122

  Willits, J T ^a   Arnarson, B O ^b  

^a Cornell University   (United States)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FLOW OF SOLIDS; GRANULAR MATERIALS; KINETIC THEORY; PERTURBATION TECHNIQUES; THERMAL CONDUCTIVITY OF SOLIDS; THERMAL DIFFUSION IN SOLIDS; VISCOSITY;

CHAPMAN-ENSKOG PROCEDURE; ENSKOG EQUATION;

BINARY MIXTURES;

EID: 0032620766     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870169     Document Type: Article

References (21)

1. E. Azanza, F. Chevoir, and P. Moucheront, "Experimental study of rapid granular flows in the two-dimensional channel," in Powders and Grains, edited by R. P. Behringer and J. T. Jenkins (A. A. Balkema, Rotterdam, 1997).
2. L. Oger, C. Annic, D. Bideau, R. Dai, and S. B. Savage, "Diffusion of two-dimensional particles on an air table," J. Stat. Phys. 82, 1047 (1996).
3. S. Warr, J. M. Huntley, and G. T. H. Jacques, "Fluidization of two-dimensional granular systems: Experimental study and scaling behavior," Phys. Rev. E 52, 5583 (1995).
4. J. T. Jenkins and M. Richman, "Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks," Phys. Fluids 28, 3485 (1985).
5. N. Sela, I. Goldhirsch, and S. H. Noskowicz, "Kinetic theoretical study of a simply sheared two-dimensional granular gas to Burnett order," Phys. Fluids 8, 2337 (1996).
6. M. Y. Louge, J. T. Jenkins, and M. A. Hopkins, "Computer simulations of rapid granular shear flows between parallel bumpy boundaries," Phys. Fluids A 2, 1042 (1990).
7. M. A. Hopkins and M. Y. Louge, "Inelastic microstructure in rapid granular flows of smooth disks," Phys. Fluids A 3, 47 (1990).
8. M. Y. Louge, J. T. Jenkins, and M. A. Hopkins, "The relaxation of the second moment in rapid shear flows of smooth disks," Mech. Mater. 16, 199 (1993).
9. B. J. Alder and T. E. Wainwright, "Decay of the velocity autocorrelation function," Phys. Rev. A 1, 18 (1970).
10. Y. Pomeau and P. Resibois. "Time dependent correlation functions and mode-mode coupling theories," Phys. Lett., C 19, 63 (1975).
11. M. H. Ernst, B. Cichocki, J. R. Dorfman, J. Sharma, and H. van Beijeren, "Kinetic theory of nonlinear viscous flow in two and three dimensions," J. Stat. Phys. 16, 237 (1978).
12. J. T. Jenkins and F. Mancini, "Balance laws and constitutive relations for plane flows of a dense, binary mixture of smooth, nearly elastic, circular Disks," J. Appl. Mech. 54, 27 (1987).
13. H. van Beijeren and M. H. Ernst, "The modified Enskog equation," Physica (Amsterdam) 68, 437 (1973).
14. J. T. Jenkins and F. Mancini, "Kinetic theory for binary mixtures of smooth, nearly elastic spheres," Phys. Fluids A 1, 2050 (1989).
15. B. Ö. Arnarson and J. T. Willits, "Thermal diffusion in binary mixtures of smooth, nearly elastic spheres with and without gravity," Phys. Fluids 10, 1324 (1998).
16. M. López de Haro, E. G. D. Cohen, and J. M. Kincaid, "The Enskog theory for multicomponent mixtures. I. Linear transport theory," J. Chem. Phys. 78, 2746 (1983).
17. T. M. Reed and K. E. Gubbins, Applied Statistical Mechanics (McGraw-Hill, New York, 1973).
18. F. Mancini, "Transport Theory for Dense Binary Mixtures of Smooth, Round, Nearly Elastic Particles," Ph.D. thesis, Cornell University, Ithaca, New York, 1986, p. 49.
19. J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, New York, 1972), Chaps. 5-7.
20. B. J. Alder, D. M. Gass, and T. E. Wainwright, "Studies in molecular dynamics. VIII. The transport coefficients for a hard-sphere fluid," J. Chem. Phys. 53, 3813 (1970).
21. J. P. Hansen and J. R. MacDonald, Theory of Simple Liquids (Academic, London, 1976).