On the role of the ambient fluid on gravitational granular flow dynamics

Journal of Fluid Mechanics

Volumn 648, Issue , 2010, Pages 381-404

  Meruane, C ^a,b   Tamburrino, A ^a   Roche, O ^b  

^a UNIVERSITY OF CHILE   (Chile)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AIR; CONFINED FLOW; DRAG; HYDRODYNAMICS; PARTICLE SIZE ANALYSIS;

COMBINED ANALYSIS; CONTINUUM EQUATION; DRAG INTERACTION; EXPERIMENTAL ANALYSIS; GRANULAR COLUMNS; HYDRODYNAMIC FLUIDS; NUMERICAL SOLUTION; SOLIDS MOVEMENTS;

GRANULAR MATERIALS;

COMPRESSIBLE FLOW; FLUID DYNAMICS; GRANULAR MEDIUM; NEWTONIAN FLUID; NUMERICAL MODEL;

EID: 77952366697     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009993181     Document Type: Article

References (48)

1. Ancey, C. 2007 Plasticity and geophysical flows: a review. J. Non-Newtonian Fluid Mech. 142, 4-35.
2. Anderson, T. B. & Jackson, R. 1967 A fluid mechanical description of fluidized beds: equations of motion. Ind. Engng Chem. Fundam. 6, 527-539.
3. Bagnold, R. A. 1954 Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear. Proc. R. Soc. Lond. Ser. A 225, 49-63.
4. Balmforth, N. J. & Kerswell, R. R. 2005 Granular collapse in two dimensions. J. Fluid Mech. 538, 399-428.
5. Bedford, A. 1983 Recent advances: theories of immiscible and structured mixtures. Intl J. Engng Sci. 21, 863-960.
6. Boussinesq, J. 1877 Théorie de l'écoulement tourbillant. Mem. Pŕesent́es par Divers Savants Acad. Sci. Inst. Fr. 23, 46-50.
7. Campbell, C. 1990 Rapid granular flows. Annu. Rev. Fluid Mech. 22, 57-92.
8. Campbell, C. 2006 Granular material flows: an overview. Powder Technol. 162, 208-229.
9. Cassar, C., Nicolas, M. & Pouliquen, O. 2005 Submarine granular flows down inclined planes. Phys. Fluids 17, 103301.
10. Crowe, C. T. 2000 On models for turbulence modulation in fluid-particle flows. Intl J. Multiphase Flow 26, 719-727.
11. Crowe, C. T., Troutt, R. & Chung, J. N. 1996 Numerical models for two-phase turbulent flows. Annu. Rev. Fluid. Mech. 28, 11-43.
12. Dallavalle, J. M. 1948 Micromeritics: The Technology of Fine Particles, 2nd ed. Pitman.
13. Di Felice, R. 1994 The voidage function for fluid-particle interaction systems. Intl J. Multiphase Flow 20, 153-159.
14. Di Felice, R. 1995 Hydrodynamics of liquid fluidisation. Chem. Engng Sci. 50, 1213-1245.
15. Drew, D. A. 1983 Mathematical modelling of two-phase flow. Annu. Rev. Fluid Mech. 15, 261-291.
16. Elghobashi, S. & Truesdell, G. C. 1993 On the two-way interaction between homogeneous turbulence and dispersed solid particles. II. Turbulence modification. Phys. Fluids 5, 1790-1801.
17. Forterre, Y. & Pouliquen, O. 2008 Flows of dense granular media. Annu. Rev. Fluid Mech. 40, 1-24.
18. Goldhirsch, I. 2003 Rapid granular flows. Annu. Rev. Fluid Mech. 35, 267-293.
19. Goodman, M. & Cowin, S. 1971 Two problems in the gravity flow of granular materials. J. Fluid Mech. 45, 321-339.
20. Hutter, K., Wang, Y. & Pudasaini, S. 2005 The Savage-Hutter avalanche model: how far can it be pushed? Phil. Trans. R. Soc. A 363, 1507-1528.
21. Iverson, R. 1997 The physics of debris flows. Rev. Geophys. 35, 245-296.
22. Iverson, R. & Denlinger, R. 2001 Flow of variably fluidized granular masses across three-dimensional terrain. 1. Coulomb mixture theory. J. Geophys. Res. 106, 537-552.
23. Jackson, R. 2000 The Dynamics of Fluidized Particles. Cambridge University Press.
24. Jenkins, J. T. & Savage, S. B. 1983 A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. J. Fluid Mech. 130, 187-202.
25. Johnson, P. C. & Jackson, R. 1987 Frictional-collisional constitutive relations for granular materials, with application to plane shearing. J. Fluid Mech. 176, 67-93.
26. Joseph, D. & Lundgren, T. 1990 Ensemble averaged and mixture theory equations for incompressible fluid-particle suspensions. Intl J. Multiphase Flow 16, 3542.
27. Kármán, T. von 1940 The engineer grapples with nonlinear problems. Bull. Am. Math. Soc. 46, 615-683.
28. Lajeunesse, E., Monnier, J. & Homsy, G. 2005 Granular slumping on a horizontal surface. Phys. Fluids 17, 103302.
29. Larrieu, E., Staron, L. & Hinch, E. 2006 Raining into shallow water as a description of the collapse of a column of grains. J. Fluid Mech. 554, 259-270.
30. Lube, G., Huppert, H., Sparks, R. & Freundt, A. 2005 Collapses of two-dimensional granular columns. Phys. Rev. E 72, 041301.
31. Lun, C. K. K., Savage, B. & Jeffrey, D. J. 1984 Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flow field. J. Fluid Mech. 140, 223-256.
32. MiDi, GDR 2004 On dense granular flows. Eur. Phys. J. E 14, 341-365.
33. Morland, L. W. 1992 Flow of viscous fluids through a porous deformable matrix. Surv. Geophys. 13, 209-268.
34. Morland, L. & Sellers, S. 2001 Multiphase mixtures and singular surfaces. Intl J. Non-Linear Mech. 36, 131-146.
35. Passman, S. L., Nunziato, J. W. & Walsh, E. K. 1984 A Theory of Multiphase Mixtures. Appendix 5C, Rational thermodynamics (ed. C. Truesdell), pp. 286-325. Springer.
36. Patankar, S.V. 1980 Numerical Heat Transfer and Fluid Flow. Hemisphere.
37. Pitman, B. & Le, L. 2005 A two-fluid model for avalanche and debris flows. Phil. Trans. R. Soc. A 363, 1573-1601.
38. Pope, S. 2000 Turbulent Flows. Cambridge University Press.
39. Reynolds, O. 1895 On the dynamical theory of turbulent incompressible viscous fluids and the determination of the criterion. Phil. Trans. R. Soc. A 186, 121-161.
40. Rodi, W. 1983 Turbulence Models and Their Application in Hydraulics: A State-Of-The-Art Review. IAHR.
41. Savage, S. B. 1983 Mechanical of granular materials: new models and constitutive relations. In Granular Flows Down Rough Inclines: Review and Extension (ed. J. T. Jenkins and M. Satake), pp. 261-282.Elsevier.
42. Staron, L. & Hinch, E. J. 2005 Study of the collapse of granular columns using two-dimensional discrete-grain simulation. J. Fluid Mech. 545, 1-27.
43. Stewart, H. B. & Wendroff, B. 1984 Two-phase flow: models and methods. J. Comput. Phys. 56, 363-409.
44. Sundaresan, S. 2003 Instabilities in fluidized beds. Annu. Rev. Fluid Mech. 35, 63-88.
45. Truesdell, C. 1957 Sulle basi della thermomecanica. Rand Lincei, Ser. 8, 33-38.
46. Truesdell, C. 1984 Rational Thermodynamics. Springer
47. Wang, Y. & Hutter, K. 2001 Geomorphological fluid mechanics. In Granular Material Theories Revisited (ed. N. J. Balmforth and A. Provenzale), pp. 79-107. Springer.
48. Ystrom, J. 2001 On two-fluid equations for dispersed incompressible two-phase flow. Comput. Visual. Sci. 4, 125-135.