A lattice-based cellular automata modeling approach for granular flow lubrication

Journal of Tribology

Volumn 128, Issue 2, 2006, Pages 358-364

  Jasti, Venkata K ^a   Higgs III, C Fred ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATA THEORY; FLOW OF SOLIDS; LUBRICANTS; STICTION; SURFACE ROUGHNESS; TRIBOLOGY;

CELLULAR AUTOMATA MODELING; GRANULAR FLOW LUBRICATION; SLIP BEHAVIOR; SOLID FRACTION; TRIBOLOGICAL CONTACTS;

LUBRICATION;

AUTOMATA THEORY; FLOW OF SOLIDS; LUBRICANTS; LUBRICATION; STICTION; SURFACE ROUGHNESS; TRIBOLOGY;

EID: 33646405995     PISSN: 07424787     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2164466     Document Type: Article

References (59)

1. Yu, C., and Tichy, J. A., 1996, "Granular Collision Lubrication: Effect of Surface Roughness, Particle Size, Solid Fraction," STLE Tribol. Trans., 39, pp. 537-546.
2. Higgs, C. F., III, and Tichy, J., 2004, "Granular Flow Lubrication: Continuum Modeling of Shear Behavior," J. Tribol., 126, pp. 499-510.
3. Heshmat, H., 1995, "The Quasi-Hydrodynamic Mechanism of Powder Lubrication. 3. On Theory and Rheology of Triboparticulates," Tribol. Trans., 38, pp. 269-276.
4. Higgs, C. F., Heshmat, C. A., and Heshmat, H. S., 1999, "Comparative Evaluation of MoS2 and WS2 as Powder Lubricants in High Speed, Multi-Pad Journal Bearings," Trans. ASME, J. Tribol., 121, pp. 625-630.
5. Yu, C.-M., Craig, K., and Tichy, J., 1994, "Granular Collision Lubrication," J. Rheol., 38, pp. 921-936.
6. Iordanoff, I., and Khonsari, M. M., 2004, "Granular Lubrication: Toward an Understanding of the Transition Between Kinetic and Quasi-Fluid Regime," J. Tribol., 126, pp. 137-145.
7. Lun, C. K. et al., 1984, "Kinetic Theories for Granular Flow: Inelastic Particles in Couette Flow and Slightly Inelastic Particles in a General Flow Field," J. Fluid Mech., 140, pp. 223-256.
8. Haff, P. K., 1983, "Grain Flow as a Fluid-Mechanical Phenomenon," J. Fluid Mech., 134, pp. 401-430.
9. Hui, K., et al., 1984, "Boundary Conditions For High Shear Grain Flows," J. Fluid Mech., 145, pp. 223-233.
10. Sawyer, W. G., and Tichy, J., 2001, "Lubrication With Grain Flow: Continuum Theory, Particle Simulations, Comparison With Experiment," J. Tribol. 123, pp. 777-784.
11. Rosato, A. D., and Kim, H., 1994, "Particle Dynamics Calculations of Wall Stresses and Slip Velocities - For Couette-Flow of Smooth Inelastic Spheres," Continuum Mech. Thermodyn., 6, pp. 1-20.
12. Herrmann, H. J., 1993, "Molecular-Dynamics Simulations of Granular-Materials," Int. J. Mod. Phys. C, 4, pp. 309-316.
13. Hu, G. Q., et al., 2004, "The Molecular Dynamics Simulation of the Effect of Channel Width on Two-Dimensional Granular Flow," Acta Phys. Sin., 53, pp. 4277-4281.
14. Ristow, G. H., 1992, "Simulating Granular Flow With Molecular-Dynamics," J. Phys. I, 2, pp. 649-662.
15. Craig, K., Buckholz, R. H., and Domoto, G., 1986, "An Experimental Study of the Rapid Flow of Dry Cohesionless Metal Powders," J. Appl. Mech., 53, p. 935.
16. Elrod, H. G., 1988, "Granular Flow as a Tribological Mechanism - A First Look," Interface Dynamics, Proc. of the Leeds-Lyon Conference, p. 75.
17. Zhou, L., and Khonsari, M. M., 2000, "Flow Characteristics of a Powder Lubricant Sheared Between Parallel Plates," J. Tribol., 122, pp. 147-154.
18. Jenkins, J., and Richman, M., 1986, "Boundary Conditions for Plane Flows of Smooth, Nearly Elastic, Circular Disks," J. Fluid Mech., 171, pp. 53-69.
19. Agarwal, H., 1998, "Construction of Molecular Dynamic Like Cellular Automata Models for Simulation of Compressible Fluid Dynamic System," in Aerospace engineering, Indian Institute of Technology, Kanpur.
20. Von Neumann, J., 1966, Theory of Self-Reproducing Automata., edited by A. W. Bruks, University of Illinios Press, Urbana and London.
21. Wolfram, S., 2002, A New Kind of Science, Wolfram Media, Inc., Champaign, IL.
22. Margolus, N., 1984, "Physics-Like Models of Computation," Physica D, 10D, pp. 81-95.
23. Toffoli, T., 1984, "Cellular Automata as an Alternative to (Rather Than an Approximation of) Differential-Equations in Modeling Physics," Physica D, 10, pp. 117-127.
24. Dhumieres, D., and Lallemand, P., 1986, "Lattice Gas Automata for Fluid-Mechanics," Physica A, 140, pp. 326-335.
25. Frisch, U., Hasslacher, B., and Pomeau, Y., 1986, "Lattice-Gas Automata for the Navier-Stokes Equation," Phys. Rev. Lett., 56, p. 1505.
26. Gutowitz, H. A., 1990, "Maps of Recent Cellular Automata and Lattice Gas Automata Literature," Physica D, 45, pp. 477-479.
27. Weimar, J. R., and Boon, J. P., 1994, "Class of Cellular-Automata for Reaction-Diffusion Systems," Phys. Rev. E, 49, pp. 1749-1752.
28. Chopard, B., Luthi, P., and Droz, M., 1994, "Reaction-Diffusion Cellular-Automata Model for the Formation of Liesegang Patterns," Phys. Rev. Lett., 72, pp. 1384-1387.
29. Weimar, J. R., 2002, "Three-Dimensional Cellular Automata for Reaction-Diffusion Systems," Fund. Inform., 52, pp. 277-284.
30. Chahoud, M., et al., 2000, "Cellular-Automata-Based Simulation of Anisotropic Crystal Growth," J. Cryst. Growth, 220, pp. 471-479.
31. Mourachov, S., 1997, "Cellular Automata Simulation of the Phenomenon of Multiple Crystallization," Comput. Mater. Sci., 7, pp. 384-388.
32. Gerola, H., and Seiden, P. E., 1978, "Stochastic Star Formation and Spiral Structure of Galaxies," Astrophys. J., 223, pp. 129-139.
33. Perdang, J., and Lejeune, A., 1996, "Cellular Automaton Experiments on Local Galactic Structure. 1. Model Assumptions," Astron. Astrophys., Suppl. Ser., 119, pp. 231-248.
34. Puskar, K. et al., 2004, "Understanding Spatial Constraints on Biological Self-Assembly Systems Through Lattice Based Monte Carlo Modeling," Biophys. J., 86, pp. 630A-630A.
35. Ermentrout, G. B., and Edelsteinkeshet, L., 1993, "Cellular Automata Approaches to Biological Modeling," J. Theor. Biol., 160, pp. 97-133.
36. Green, D. G., 1990, "Cellular Automata Models in Biology," Math. Comput. Modell., 13, pp. 69-74.
37. Jhon, M., et al., 2003, "Simulation of Nanostructured Lubricant Films," IEEE Trans. Magn., 39, pp. 754-758.
38. Ng, S. H., et al., 2004, "An Analysis of Mixed Lubrication in Chemical Mechanical Polishing," ASME J. Tribol., 126, pp. 1-6.
39. Higgs, C. F., III, et al., 2003, "Mechanical Modeling of the 2D Interfacial Slurry Pressure in CMP," Mater. Res. Soc. Symp. Proc., 767, pp. 305-312.
40. Higgs, C. F., III, et al., 2005, "A Mixed-Lubrication Approach to Predicting CMP Fluid Pressure: Modeling and Experiments," J. Electrochem. Soc., 152, pp. 1-6.
41. Shan, L., Zhou, C., and Danyluk, S., 2001, "Mechanical Interactions and Their Effects on Chemical Mechanical Polishing," IEEE Trans. Semicond. Manuf., 14, pp. 207-213.
42. Wylie, J., Koch, D., and Ladd, A., 2003, "Rheology of Suspensions With High Particle Inertia and Moderate Fluid Inertia," J. Fluid Mech., 480, pp. 95-118.
43. Nguyen, N.-Q., and Ladd, A., 2002, "Lubrication Corrections for Lattice-Boltzmann Simulations of Particle Suspensions," Phys. Rev. E, 66, p. 046708.
44. Flekkoy, E. G., and Herrmann, H. J., 1993, "Lattice Boltzmann Models for Complex Fluids," Physica A, 199, pp. 1-11.
45. Hopkins, M. A., and Shen, H. H., 1992, "A Monte-Carlo Solution for Rapidly Shearing Granular Flows Based on the Kinetic-Theory of Dense Gases," J. Fluid Mech., 244, pp. 477-491.
46. Brey, J. J., and Ruiz-Montero, M. J., 1999, "Direct Monte Carlo Simulation of Dilute Granular Flow," Comput. Phys. Common., 122, pp. 278-283.
47. Fitt, A. D., and Wilmott, P., 1992, "Cellular-Automaton Model for Segregation of a Two-Species Granular Flow," Phys. Rev. A, 45, p. 2383.
48. Karolyi, A. et al., 1998, "Filling a Silo With a Mixture of Grains: Friction-Induced Segregation," Europhys. Lett., 44, pp. 386-392.
49. Cizeau, P., Makse, H. A., and Stanley, H. E., 1999, "Mechanisms of Granular Spontaneous Stratification and Segregation in Two-Dimensional Silos," Phys. Rev. E, 59, p. 4408.
50. Alonso, J. J., and Herrmann, H. J., 1996, "Shape of the Tail of a Two-Dimensional Sandpile," Phys. Rev. Lett., 76, p. 4911.
51. Goles, E., 1992, "Sand Pile Automata," Ann. Inst. Henri Poincare, Sect. A, 56, pp. 75-90.
52. Karolyi, A., and Kertesz, J., 1998, "Lattice-Gas Model of Avalanches in a Granular Pile," Phys. Rev. E, 57, p. 852.
53. Peng, G., and Herrmann, H. J., 1994, "Density Waves of Granular Flow in a Pipe Using Lattice-Gas Automata," Phys. Rev. E, 49, p. R1796.
54. Peng, G., and Ohta, T., 1997, "Velocity and Density Profiles of Granular Flow in Channels Using a Lattice Gas Automaton," Phys. Rev. E, 55, p. 6811.
55. Baxter, G. W., et al., 1991, "Time-Dependence, Scaling and Pattern-Formation for Flowing Sand," Eur. J. Biochem., 10, pp. 181-186.
56. Kozicki, J., and Tejchman, J., 2001, "Simulations of Granular Flow in Silos With a Cellular Automata Model," Powder Handl. Process., 13, pp. 267-273.
57. Gutt, G. M., and Haff, P. K., 1990, "An Automata Model of Granular Materials," in Fifth Distributed Memory Comping Conference (1), IEEE Computer Society Press, Charleston, SC.
58. Deserable, D., 2001, "A Versatile Two-Dimensional Cellular Automata Network for Granular Flow," J. Appl. Math., 62, pp. 1414-1436.
59. Libbrecht, K., and Rasmussen, P., 2003, The Snowflake: Winter's Secret Beauty, Voyageur Press, Stillwater, MN.