Dynamical states of bubbling in vertically vibrated granular materials. Part I: Collective processes

Communications in Nonlinear Science and Numerical Simulation

Volumn 12, Issue 3, 2007, Pages 254-272

  Bordbar, Mohammad Hadi ^a   Zamankhan, Piroz ^a  

^a LAPPEENRANTA UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Bubbling; Continuum; Granular materials; Oscillation

Indexed keywords

COMPUTER SIMULATION; GAS DYNAMICS; GRANULAR MATERIALS; MOLECULAR DYNAMICS; OSCILLATIONS; PLASTIC DEFORMATION; SHEAR FLOW;

BUBBLING; CONVECTIVE MOTION; GAS-PARTICLE FLOWS; PATTERN FORMATION;

BUBBLE FORMATION;

BUBBLE FORMATION; COMPUTER SIMULATION; GAS DYNAMICS; GRANULAR MATERIALS; MOLECULAR DYNAMICS; OSCILLATIONS; PLASTIC DEFORMATION; SHEAR FLOW;

EID: 33750497904     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2005.04.001     Document Type: Article

References (29)

1. Umbanhowar P.B., Melo F., and Swinney H.L. Localized excitations in a vertically vibrated granular layer. Nature 382 (1996) 793-796
2. Mukerjee M. Science with brass. Sci Am November (1996) 19-21
3. Schleier-Smith J.M., and Stone H.A. Convection, heaping, and cracking in vertically vibrated granular slurries. Phys Rev Lett 86 (2001) 3016-3019
4. Faraday M. On a peculiar class of optical deceptions. Philos Trans Roy Soc London 121 (1831) 299-301
5. Pak H.K., Van Doorn E., and Behringer R.P. Effects of ambient gases on granular materials under vertical vibration. Phys Rev Lett 74 (1995) 4643-4646
6. Goh Y.K., and Jacobs R.L. Coarsening dynamics of granular heaplets in tapped granular layers. New J Phys 4 (2002) 81.1-81.9
7. Eggers J., and Riecke H. A continuum description of vibrated sand. Phys Rev E 59 (1999) 4476-4483
8. Lightfood E.N., Chiang A.S., and Noble P.T. Field-flow fractionation (polarization chromatography). Ann Rev Fluid Mech 13 (1981) 351-378
9. Wong P. Statistical physics of sedimentary rock. Phys Today 41 (1998) 24-32
10. Strigle Jr. R.F. Packed tower design and applications: random and structured packings (1994), Gulf Pub. Co., Houston
11. Billet R. Packed towers: in processing and environmental technology (1995), VCH, New York
12. Slichter CS. Field measurements of the rate of movement of underground water, Water Supply Papers 14 R, US Geological Survey, 1905.
13. Kostyuk D.G., and Krishtal O.A. Intracellular perfusion of excitable cells (1984), Wiley, New York
14. Bayon A., and Drucker-Colin R. In vivo perfusion and release of neuroactive substances: methods and strategies (1985), Academic Press, Orlando
15. Bear J. Dynamics of fluids in porous media (1988), Dover Publications Inc., Mineola, New York
16. Sagaut P. Large Eddy simulation for incompressible flows (1998), Springer, Berlin
17. Lesieur M. Turbulence in fluids (1997), Kluwer Academic Publishers
18. Smagorinsky J. General circulation experiments with the primitive equations. I. The basic experiment. Monthly Weather Rev 91 3 (1963) 99-164
19. Masuoka T., and Takatsu Y. Turbulence model for flow through porous media. Int J Heat Mass Transfer 39 (1996) 2803-2809
20. Zamankhan P., Tynjala T., Polashenski Jr. T.W., Zamankhan P., and Sarkomaa P. Stress fluctuations in continuously sheared dense granular materials. Phys Rev E 60 (1999) 7149-7156
21. Sinclair J.L., and Jackson R. Gas-particle flow in a vertical pipe with particle-particle interactions. AIChE J 35 (1989) 1473-1486
22. Elgobashi S.E. Particle-laden turbulent flows: direct simulation and closure models. Appl Scient Res 48 (1991) 301-314
23. Walkingtor NJ, Antaki JF, Blelloch GF, Ghattas O, Melcevic I, Miller GL. A parallel dynamic-mesh Lagrangian method for simulation of flows with dynamic interfaces. In: Proceedings of the 2000 ACM/IEEE Conference on Supercomputing, Dallas, Texas, 2000. Article No. 26.
24. Bordbar MH, Zamankhan P, submitted for publication.
25. Happel J., and Brenner H. Low Reynolds number hydrodynamics (1973), Noordhoff International Publishing, Leyden
26. Dormand J.R., and Prince P.J. A family of embedded Runge-Kutta formulae. J Comp Appl Math 6 (1980) 19-26
27. Leonard A. Energy cascade in large eddy simulations of turbulent fluid flows. Adv Geophys 18A (1974) 237-248
28. Meneveau C. Statistics of turbulence subgrid-scale stresses: necessary conditions and experimental tests. Phys Fluids 6 2 (1994) 815-820
29. Germano M., Piomelli U., Moin P., and Cabot W.H. A dynamic subgrid-scale eddy viscosity model. Phys Fluids A 3 (1991) 1760-1765