Impact of collisional versus viscous dissipation on flow instabilities in gas-solid systems

Journal of Fluid Mechanics

Volumn 727, Issue , 2013, Pages

  Yin, Xiaolong ^a   Zenk, John R ^b   Mitrano, Peter P ^b   Hrenya, Christine M ^b  

^a Department of Geology and Geological Engineering   (United States)

^b UCB 450   (United States)

Author keywords

Absolute convective instability; Granular media; Multiphase and particle laden flows

Indexed keywords

ENERGY DISSIPATION; GASES; KINETIC ENERGY; STABILITY; VISCOUS FLOW; VORTEX FLOW;

ABSOLUTE/CONVECTIVE INSTABILITIES; DISSIPATIVE SYSTEMS; GRANULAR MEDIA; LATTICE BOLTZMANN SIMULATIONS; MULTIPHASE AND PARTICLE-LADEN FLOWS; RELATIVE CONTRIBUTION; RESTITUTION COEFFICIENT; VISCOUS DISSIPATION;

KINETICS;

COLLISION; FLOW FIELD; FLOW MODELING; GRANULAR MEDIUM; INSTABILITY; MULTIPHASE FLOW; VISCOSITY; VORTEX FLOW;

EID: 84886289319     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2013.268     Document Type: Article

References (36)

1. AGRAWAL, K., LOEZOS, P. N., SYAMLAL, M. & SUNDARESAN, S. 2001 The role of meso-scale structures in rapid gas-solid flows. J. Fluid Mech. 445, 151.
2. ALLEN, M. P. & TILDESLEY, D. J. 1989 Computer Simulation of Liquids. Oxford University Press.
3. BREY, J. J. 1999 Origin of density clustering in a freely evolving granular gas. Phys. Rev. E 60, 3150.
4. BRILLIANTOV, N., SALUENA, C., SCHWAGER, T. & PÖSCHEL, T. 2004 Transient structures in a granular gas. Phys. Rev. Lett. 93, 134301.
5. BRITO, R. & ERNST, M. H. 1998 Extension of Haff's cooling law in granular flows. Europhys. Lett. 43, 497.
6. FENG, Z.-G & MICHAELIDES, E. E. 2005 Proteus: a direct forcing method in the simulations of particulate flows. J. Comput. Phys. 202, 51.
7. GARZ Ó, V. 2005 Instabilities in a free granular fluid described by the Enskog equation. Phys. Rev. E 72, 021106.
8. GARZ Ó, V., TENNETI, S., SUBRAMANIAM, S. & HRENYA, C. M. 2012 Enskog kinetic theory for monodisperse gas-solid flows. J. Fluid Mech. 712, 129.
9. GLASSER, B. J., SUNDARESAN, S. & KEVREKIDIS, I. G. 1998 From bubbles to clusters in fluidized beds. Phys. Rev. Lett. 81, 1849.
10. GOLDHIRSCH, I. 2003 Rapid granular flows. Annu. Rev. Fluid Mech. 35, 267.
11. GOLDHIRSCH, I., TAN, M.-L. & ZANETTI, G. 1993 A molecular dynamical study of granular fluids I: the unforced granular gas in two dimensions. J. Sci. Comput. 8, 1.
12. GOLDHIRSCH, I. & ZANETTI, G. 1993 Clustering instability in dissipative gases. Phys. Rev. Lett. 70, 1619.
13. GRACE, J. R. & TUOT, J. 1979 A theory for cluster formation in vertically conveyed suspensions of intermediate density. Trans. Inst. Chem. Engng 57, 49.
14. HOPKINS, M. & LOUGE, M. 1991 Inelastic microstructure in rapid granular flows of smooth disks. Phys. Fluids A 3, 47.
15. HRENYA, C. M., GALVIN, J. E. & WILDMAN, R. D. 2008 Evidence of higher-order effects in thermally-driven, rapid granular flows. J. Fluid Mech. 598, 429.
16. KIM, S. & KARRILA, S. J. 2005 Microhydrodynamics: Principles and Selected Applications. Dover.
17. KOCH, D. L. 1990 Kinetic theory for a monodisperse gas-solid suspension. Phys. Fluids A 2, 1711.
18. KOCH, D. L. & SANGANI, A. S. 1999 Particle pressure and marginal stability limits for a homogeneous monodisperse gas-fluidized bed: kinetic theory and numerical simulations. J. Fluid Mech. 400, 229.
19. KUDROLLI, A., WOLPERT, M. & GOLLUB, J. P. 1997 Cluster formation due to collisions in a granular material. Phys. Rev. Lett. 78, 1383.
20. LADD, A. J. C. & VERBERG, R. 2001 Lattice-Boltzmann simulation of particle-fluid suspensions. J. Stat. Phys. 104, 1191.
21. MITRANO, P. P., DAHL, S. R., CROMER, D. J., PACELLA, M. S. & HRENYA, C. M. 2011 Instabilities in the homogeneous cooling of a granular gas: a quantitative assessment of kinetic-theory prediction. Phys. Fluids 23, 093303.
22. MITRANO, P. P., DAHL, S. R., HILGER, A. M., EWASKO, C. J. & HRENYA, C. M. Dual role of friction on dissipation-driven instabilities in granular flows. J. Fluid Mech. (submitted).
23. MITRANO, P. P., GARZ Ó, V., HILGER, A. M., EWASKO, C. J. & HRENYA, C. M. 2012 Assessing a hydrodynamic description for instabilities in highly dissipative, freely cooling granular gases. Phys. Rev. E 85, 141303.
24. NGUYEN, N.-Q. & LADD, A. J. C. 2002 Lubrication corrections for lattice-Boltzmann simulations of particle suspensions. Phys. Rev. E 66, 046708.
25. PÖSCHEL, T. & SCHWAGER, T. 2005 Computational Granular Dynamics. Springer.
26. RERICHA, E. C., BIZON, C., SHATTUCK, M. D. & SWINNEY, H. L. 2002 Shocks in supersonic sand. Phys. Rev. Lett. 88, 014302.
27. ROYER, J. R., EVANS, D. J., OYARTE, L., GUO, Q., KAPIT, E., MOBIUS, M. E., WAITUKAITIS, S. R. & JAEGER, H. M. 2009 High-speed tracking of rupture and clustering in freely falling granular streams. Nature 459, 1110.
28. SANGANI, A. S., MO, G., TSAO, H.-K. & KOCH, D. L. 1996 Simple shear flows of dense gas-solid suspensions at finite stokes numbers. J. Fluid Mech. 313, 309.
29. TENNETI, S., GARG, R., HRENYA, C. M., FOX, R. O. & SUBRAMANIAM, S. 2010 Direct numerical simulation of gas-solid suspensions at moderate Reynolds number: quantifying the coupling between hydrodynamic forces and particle velocity fluctuations. Powder Technol. 203, 57.
30. WACHS, A. 2009 A DEM-DLM/FD method for direct numerical simulation of particulate flows: sedimentation of polygonal isometric particles in a Newtonian fluid with collisions. Comput. Fluids 38, 1608.
31. WANG, J., REN, C. & YANG, Y. 2010 Characterization of flow regime transition and particle motion using acoustic emission measurement in a gas-solid fluidized bed. AIChE J. 56, 1173.
32. WILDMAN, R. D., MARTIN, T. W., HUNTLEY, J. M., JENKINS, J. T., VISWANATHAN, H., FEN, X. & PARKER, D. J. 2008 Experimental investigation and kinetic-theory-based model of a rapid granular shear flow. J. Fluid Mech. 602, 63.
33. WYLIE, J. J. & KOCH, D. L. 2000 Particle clustering due to hydrodynamic interactions. Phys. Fluids 12, 964.
34. WYLIE, J. J., KOCH, D. L. & LADD, J. C. 2003 Rheology of suspensions with high particle inertia and moderate fluid inertia. J. Fluid Mech. 480, 95.
35. WYLIE, J. J., ZHANG, Q. & LI, Y. 2009 Driven inelastic-particle systems with drag. Phys. Rev. E 79, 031301.
36. XU, H., LOUGE, M. & REEVES, A. 2003 Solutions of the kinetic theory for bounded collisional granular flows. Contin. Mech. Thermodyn. 15, 321.