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Volumn 632, Issue , 2009, Pages 145-198

Dynamics of dense sheared granular flows. Part II. The relative velocity distributions

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION FUNCTIONS; ENERGY DISSIPATION; GAUSSIAN DISTRIBUTION; GRANULAR MATERIALS; JOINING; SHEAR STRESS; VELOCITY; VELOCITY DISTRIBUTION; VOLUME FRACTION;

EID: 69649102751     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009006958     Document Type: Article
Times cited : (29)

References (52)
  • 1
    • 33750689525 scopus 로고    scopus 로고
    • Velocity correlations in dense gravity-driven granular chute flow
    • BARAN, O., ERTAS, D., HALSEY, G. C., GREST, G. S. & LECHMAN, J. B. 2006 Velocity correlations in dense gravity-driven granular chute flow. Phys. Rev. E 74, 051302.
    • (2006) Phys. Rev. E , vol.74 , pp. 051302
    • BARAN, O.1    ERTAS, D.2    HALSEY, G.C.3    GREST, G.S.4    LECHMAN, J.B.5
  • 2
    • 4243922451 scopus 로고    scopus 로고
    • Hydrodynamic model for a dynamical jammedto- flowing transition in gravity driven granular media
    • BOCQUET, L., ERRAMI, J. & LUBENSKY, T. C. 2002 Hydrodynamic model for a dynamical jammedto- flowing transition in gravity driven granular media. Phys. Rev. Lett. 89, 184301-184304.
    • (2002) Phys. Rev. Lett , vol.89 , pp. 184301-184304
    • BOCQUET, L.1    ERRAMI, J.2    LUBENSKY, T.C.3
  • 3
    • 0031246549 scopus 로고    scopus 로고
    • CAMPBELL, C. S. 1997 Self-diffusion in granular shear flows. J. Fluid Mech. 348, 85-101.
    • CAMPBELL, C. S. 1997 Self-diffusion in granular shear flows. J. Fluid Mech. 348, 85-101.
  • 4
    • 85124574749 scopus 로고    scopus 로고
    • CAMPBELL, C. S. 2002 Granular shear flows at the elastic limit. J. Fluid Mech. 465, 261-291.
    • CAMPBELL, C. S. 2002 Granular shear flows at the elastic limit. J. Fluid Mech. 465, 261-291.
  • 5
    • 85124574527 scopus 로고    scopus 로고
    • CAMPBELL, C. S. 2005 Stress-controlled elastic granular shear flows. J. Fluid Mech. 539, 273-297.
    • CAMPBELL, C. S. 2005 Stress-controlled elastic granular shear flows. J. Fluid Mech. 539, 273-297.
  • 6
    • 33644828864 scopus 로고    scopus 로고
    • CAMPBELL, C. S. 2006 Granular material flows - An overview. Powder Tech. 162, 208-229.
    • CAMPBELL, C. S. 2006 Granular material flows - An overview. Powder Tech. 162, 208-229.
  • 8
    • 34548222103 scopus 로고    scopus 로고
    • A physically based approach to granular media mechanics: Grainscale experiments, initial results and implications to numerical modelling
    • COLE, D. M. & PETERS, J. F. 2007 A physically based approach to granular media mechanics: Grainscale experiments, initial results and implications to numerical modelling. Granular Matter 9, 309-321.
    • (2007) Granular Matter , vol.9 , pp. 309-321
    • COLE, D.M.1    PETERS, J.F.2
  • 9
    • 39749101593 scopus 로고    scopus 로고
    • Grain-scale mechanics of geologic materials and lunar simulants under normal loading
    • COLE, D. M. & PETERS, J. F. 2008 Grain-scale mechanics of geologic materials and lunar simulants under normal loading. Granular Matter 10, 171-185.
    • (2008) Granular Matter , vol.10 , pp. 171-185
    • COLE, D.M.1    PETERS, J.F.2
  • 10
    • 33846669547 scopus 로고    scopus 로고
    • Towards a theoretical picture of dense granular flows down inclines
    • DELANNAY, R., LOUGE, M., RICHARD, P., TABERLET, N. & VALANCE, A. 2007 Towards a theoretical picture of dense granular flows down inclines. Nature Mater. 6, 99-108.
    • (2007) Nature Mater , vol.6 , pp. 99-108
    • DELANNAY, R.1    LOUGE, M.2    RICHARD, P.3    TABERLET, N.4    VALANCE, A.5
  • 11
    • 0001221682 scopus 로고
    • Velocity-correlation functions in two and three dimensions: Low density
    • DORFMAN, J. R. & COHEN, E. G. 1972 Velocity-correlation functions in two and three dimensions: Low density. Phys. Rev. A 6, 776.
    • (1972) Phys. Rev. A , vol.6 , pp. 776
    • DORFMAN, J.R.1    COHEN, E.G.2
  • 12
    • 2542431236 scopus 로고
    • Diffusion in shear flow
    • DUFTY, J. 1984 Diffusion in shear flow. Phys. Rev. A, 30 1465-1476.
    • (1984) Phys. Rev. A , vol.30 , pp. 1465-1476
    • DUFTY, J.1
  • 14
    • 0036906060 scopus 로고    scopus 로고
    • Granular gravitational collapse and chute flow
    • ERTAS, D. & HALSEY, T. C. 2002 Granular gravitational collapse and chute flow. Europhys. Lett. 60, 931-937.
    • (2002) Europhys. Lett , vol.60 , pp. 931-937
    • ERTAS, D.1    HALSEY, T.C.2
  • 15
    • 0027962992 scopus 로고
    • Measurements of the collision properties of small spheres
    • FOERSTER, S. F., LOUGE, M. Y., CHANG, H. & ALLIA, K. 1994 Measurements of the collision properties of small spheres. Phys. Fluids 6, 1108-1115.
    • (1994) Phys. Fluids , vol.6 , pp. 1108-1115
    • FOERSTER, S.F.1    LOUGE, M.Y.2    CHANG, H.3    ALLIA, K.4
  • 16
    • 0033924725 scopus 로고    scopus 로고
    • Structure, diffusion and rheology of Brownian suspensions by Stokesian Dynamics simulation
    • FOSS, D. R. & BRADY, J. F. 2000 Structure, diffusion and rheology of Brownian suspensions by Stokesian Dynamics simulation. J. Fluid Mech. 407, 167-200.
    • (2000) J. Fluid Mech , vol.407 , pp. 167-200
    • FOSS, D.R.1    BRADY, J.F.2
  • 17
    • 0001215813 scopus 로고    scopus 로고
    • Dense fluid transport for inelastic hard spheres
    • GARZO, V. & DUFTY, J. 1999 Dense fluid transport for inelastic hard spheres. Phys. Rev. E 59, 5895.
    • (1999) Phys. Rev. E , vol.59 , pp. 5895
    • GARZO, V.1    DUFTY, J.2
  • 18
    • 11344275967 scopus 로고    scopus 로고
    • On dense granular flows
    • GDR MIDI 2004 On dense granular flows. Euro. Phys. J. E 14, 341-365.
    • (2004) Euro. Phys. J. E , vol.14 , pp. 341-365
    • GDR MIDI1
  • 19
    • 0037018857 scopus 로고    scopus 로고
    • Hydrodynamic modelling of dense gas-fluidised beds: Comparison of the kinetic theory of granular flow with three-dimensional hard-sphere discrete particle simulations
    • GOLDSCHMIDT, M. J. V., BEETSTRA, R. & KUIPERS, J. A. M. 2002 Hydrodynamic modelling of dense gas-fluidised beds: Comparison of the kinetic theory of granular flow with three-dimensional hard-sphere discrete particle simulations. Chem. Engng Sci. 57, 2059-2075.
    • (2002) Chem. Engng Sci , vol.57 , pp. 2059-2075
    • GOLDSCHMIDT, M.J.V.1    BEETSTRA, R.2    KUIPERS, J.A.M.3
  • 20
    • 33750591026 scopus 로고    scopus 로고
    • JENKINS, J. T. 2006 Dense shearing flows of inelastic disks. Phys. Fluids 18, 103307.
    • JENKINS, J. T. 2006 Dense shearing flows of inelastic disks. Phys. Fluids 18, 103307.
  • 21
    • 36148978510 scopus 로고    scopus 로고
    • Dense inclined flows of inelastic spheres
    • JENKINS, J. 2007 Dense inclined flows of inelastic spheres. Granular Matter 10, 47-52.
    • (2007) Granular Matter , vol.10 , pp. 47-52
    • JENKINS, J.1
  • 22
    • 34547311940 scopus 로고    scopus 로고
    • Hydrodynamics, of fluid-solid coexistence in dense shear granular flow
    • KHAIN, E. 2007 Hydrodynamics, of fluid-solid coexistence in dense shear granular flow. Phys. Rev. E 75, 051310.
    • (2007) Phys. Rev. E , vol.75 , pp. 051310
    • KHAIN, E.1
  • 23
    • 33745019587 scopus 로고    scopus 로고
    • Shear-induced crystallization of a dense rapid granular flow: Hydrodynamics beyond the melting point
    • KHAIN, E. & MEERSON, B. 2006 Shear-induced crystallization of a dense rapid granular flow: Hydrodynamics beyond the melting point. Phys. Rev. E 73, 061301.
    • (2006) Phys. Rev. E , vol.73 , pp. 061301
    • KHAIN, E.1    MEERSON, B.2
  • 24
    • 6144237959 scopus 로고
    • Stability analysis of a dense hard-sphere fluid subjected to large shear-induced ordering
    • KIRKPATRICK, T. R. & NIEUWOUDT, J. 1986 Stability analysis of a dense hard-sphere fluid subjected to large shear-induced ordering. Phys. Rev. Lett. 56, 885-888.
    • (1986) Phys. Rev. Lett , vol.56 , pp. 885-888
    • KIRKPATRICK, T.R.1    NIEUWOUDT, J.2
  • 25
    • 34547853459 scopus 로고    scopus 로고
    • Bond-orientational analysis of hard-disk and hard-sphere structures
    • KUMAR, V. S. & KUMARAN, V. 2006 Bond-orientational analysis of hard-disk and hard-sphere structures. J. Chem. Phys. 124, 204508.
    • (2006) J. Chem. Phys , vol.124 , pp. 204508
    • KUMAR, V.S.1    KUMARAN, V.2
  • 26
    • 0000870235 scopus 로고    scopus 로고
    • Temperature of a granular material fluidised by external vibrations
    • KUMARAN, V. 1998 Temperature of a granular material fluidised by external vibrations. Phys. Rev. E 57, 5660-5664.
    • (1998) Phys. Rev. E , vol.57 , pp. 5660-5664
    • KUMARAN, V.1
  • 27
    • 2442642498 scopus 로고    scopus 로고
    • Constitutive relations and linear stability of a sheared granular flow
    • KUMARAN, V. 2004 Constitutive relations and linear stability of a sheared granular flow. J. Fluid Mech. 506, 1-43.
    • (2004) J. Fluid Mech , vol.506 , pp. 1-43
    • KUMARAN, V.1
  • 28
    • 33747064654 scopus 로고    scopus 로고
    • The constitutive relations for the granular flow of rough particles, and its application to the flow down an inclined plane
    • KUMARAN, V. 2006a The constitutive relations for the granular flow of rough particles, and its application to the flow down an inclined plane. J. Fluid Mech. 561, 1-42.
    • (2006) J. Fluid Mech , vol.561 , pp. 1-42
    • KUMARAN, V.1
  • 29
    • 30844445058 scopus 로고    scopus 로고
    • Kinetic theory for the density plateau in the granular flow down an inclined plane
    • KUMARAN, V. 2006b Kinetic theory for the density plateau in the granular flow down an inclined plane. Europhys. Lett. 73 1-7.
    • (2006) Europhys. Lett , vol.73 , pp. 1-7
    • KUMARAN, V.1
  • 30
    • 33745579913 scopus 로고    scopus 로고
    • Velocity autocorrelations and the viscosity renormalisation in sheared granular flows
    • KUMARAN, V. 2006c Velocity autocorrelations and the viscosity renormalisation in sheared granular flows. Phys. Rev. Lett. 96, 258002-258005.
    • (2006) Phys. Rev. Lett , vol.96 , pp. 258002-258005
    • KUMARAN, V.1
  • 31
    • 40549142399 scopus 로고    scopus 로고
    • Dense granular flows down an inclined plane - from kinetic theory to granular dynamic
    • KUMARAN, V. 2008 Dense granular flows down an inclined plane - from kinetic theory to granular dynamic. J. Fluid Mech. 599, 121-168.
    • (2008) J. Fluid Mech , vol.599 , pp. 121-168
    • KUMARAN, V.1
  • 32
    • 59449092204 scopus 로고    scopus 로고
    • Dynamics of a dilute sheared inelastic fluid. 1. Hydrodynamic modes and the velocity correlation functions
    • KUMARAN, V. 2009a Dynamics of a dilute sheared inelastic fluid. 1. Hydrodynamic modes and the velocity correlation functions. Phys. Rev. E 79, 011301.
    • (2009) Phys. Rev. E , vol.79 , pp. 011301
    • KUMARAN, V.1
  • 33
    • 59449102831 scopus 로고    scopus 로고
    • Dynamics of a dilute sheared inelastic fluid. II. The effect of correlations
    • KUMARAN, V. 2009b Dynamics of a dilute sheared inelastic fluid. II. The effect of correlations. Phys. Rev. E 79, 011302.
    • (2009) Phys. Rev. E , vol.79 , pp. 011302
    • KUMARAN, V.1
  • 34
    • 0000440980 scopus 로고
    • Shear-Induced melting and re-entrance: A model
    • LAHIRI, R. & RAMASWAMY, S. 1994 Shear-Induced melting and re-entrance: A model. Phys. Rev. Lett. 73, 1043-1046.
    • (1994) Phys. Rev. Lett , vol.73 , pp. 1043-1046
    • LAHIRI, R.1    RAMASWAMY, S.2
  • 35
    • 0032487960 scopus 로고    scopus 로고
    • Jamming is not just cool anymore
    • LIU, A. J. & NAGEL, S. R. 1998 Jamming is not just cool anymore. Nature 396, 21-22.
    • (1998) Nature , vol.396 , pp. 21-22
    • LIU, A.J.1    NAGEL, S.R.2
  • 36
    • 28944451669 scopus 로고    scopus 로고
    • Numerical tests of constitutive laws for dense granular flows
    • LOIS, G., LEMAITRE, A. & CARLSON, J. M. 2005 Numerical tests of constitutive laws for dense granular flows. Phys. Rev. E 72, 051303.
    • (2005) Phys. Rev. E , vol.72 , pp. 051303
    • LOIS, G.1    LEMAITRE, A.2    CARLSON, J.M.3
  • 37
    • 0035304207 scopus 로고    scopus 로고
    • Global equation of state of two-dimensional hard sphere systems
    • LUDING, S. 2001 Global equation of state of two-dimensional hard sphere systems. Phys. Rev. E 63, 042201.
    • (2001) Phys. Rev. E , vol.63 , pp. 042201
    • LUDING, S.1
  • 38
    • 0001128133 scopus 로고    scopus 로고
    • LUTSKO, J. F. 1996 Molecular chaos, pair correlations, and shear-induced ordering of hard spheres. Phys. Rev. Lett. 77, 2225-2228.
    • LUTSKO, J. F. 1996 Molecular chaos, pair correlations, and shear-induced ordering of hard spheres. Phys. Rev. Lett. 77, 2225-2228.
  • 39
    • 17944386918 scopus 로고    scopus 로고
    • LUTSKO, J. F. 2001 Velocity correlations and the structure of nonequilibriurn hard-core fluids. Phys. Rev. Lett. 86, 3344-3347.
    • LUTSKO, J. F. 2001 Velocity correlations and the structure of nonequilibriurn hard-core fluids. Phys. Rev. Lett. 86, 3344-3347.
  • 40
    • 4243856233 scopus 로고
    • Possible instability for shear-induced order-disorder transition
    • LUTSKO, J. F & DUFTY, J. W. 1986 Possible instability for shear-induced order-disorder transition. Phys. Rev. Lett. 57 2775-2778.
    • (1986) Phys. Rev. Lett , vol.57 , pp. 2775-2778
    • LUTSKO, J.F.1    DUFTY, J.W.2
  • 41
    • 18144367718 scopus 로고    scopus 로고
    • Bagnold scaling, density plateau, and kinetic theory analysis of dense granular flow
    • MITARAI, N. & NAKANASHI, H. 2005 Bagnold scaling, density plateau, and kinetic theory analysis of dense granular flow. Phys. Rev. Lett. 94, 128001.
    • (2005) Phys. Rev. Lett , vol.94 , pp. 128001
    • MITARAI, N.1    NAKANASHI, H.2
  • 42
    • 33947646430 scopus 로고    scopus 로고
    • Velocity correlations in the dense granular shear flows: Effects on energy dissipation and normal stress
    • MITARAI, N. & NAKANASHI, H. 2007 Velocity correlations in the dense granular shear flows: Effects on energy dissipation and normal stress. Phys. Rev. E 031305.
    • (2007) Phys. Rev. E , pp. 031305
    • MITARAI, N.1    NAKANASHI, H.2
  • 43
    • 78951496086 scopus 로고    scopus 로고
    • Fast decay of the velocity autocorrelation function in dense shear flow of inelastic hard spheres
    • ORPE, A. V., KUMARAN, V., REDDY, K. A. & KUDROLLI, A. 2008 Fast decay of the velocity autocorrelation function in dense shear flow of inelastic hard spheres. Europhys. Lett. 84, 64003.
    • (2008) Europhys. Lett , vol.84 , pp. 64003
    • ORPE, A.V.1    KUMARAN, V.2    REDDY, K.A.3    KUDROLLI, A.4
  • 44
    • 0000058528 scopus 로고    scopus 로고
    • Scaling laws in granular flows down rough inclined planes
    • POULIQUEN, O. 1999 Scaling laws in granular flows down rough inclined planes. Phys. Fluids 11, 542-548.
    • (1999) Phys. Fluids , vol.11 , pp. 542-548
    • POULIQUEN, O.1
  • 45
    • 37649023653 scopus 로고    scopus 로고
    • The applicability of constitutive relations from kinetic theory for dense granular flows
    • REDDY, K. A. & KUMARAN, V. 2007 The applicability of constitutive relations from kinetic theory for dense granular flows. Phys. Rev. E 76, 061305.
    • (2007) Phys. Rev. E , vol.76 , pp. 061305
    • REDDY, K.A.1    KUMARAN, V.2
  • 46
    • 0032050661 scopus 로고    scopus 로고
    • Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order
    • SELA, N. & GOLDHIRSCH I. 1998 Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order. J. Fluid Mech. 361, 41-74.
    • (1998) J. Fluid Mech , vol.361 , pp. 41-74
    • SELA, N.1    GOLDHIRSCH, I.2
  • 47
    • 0035510430 scopus 로고    scopus 로고
    • SILBERT, L. E., ERTAS, D., GREST, G. S., HALSEY, T. C., LEVINE. D. & PLIMPTON, S. J. 2001 Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 64, 51302.
    • SILBERT, L. E., ERTAS, D., GREST, G. S., HALSEY, T. C., LEVINE. D. & PLIMPTON, S. J. 2001 Granular flow down an inclined plane: Bagnold scaling and rheology. Phys. Rev. E 64, 51302.
  • 49
    • 0000963818 scopus 로고
    • Simulations of shear-induced melting and ordering
    • STEVENS, M.J. & ROBBINS, M. O. 1993 Simulations of shear-induced melting and ordering. Phys. Rev. E 48, 3778-3792.
    • (1993) Phys. Rev. E , vol.48 , pp. 3778-3792
    • STEVENS, M.J.1    ROBBINS, M.O.2
  • 50
    • 36749114849 scopus 로고
    • Kinetic theory of polyatomic liquids. I. The generalized moment method
    • THEODOSOPULU, M. & DAHLER, J. S. 1974a Kinetic theory of polyatomic liquids. I. The generalized moment method. J. Chem. Phys. 9, 3567-3582.
    • (1974) J. Chem. Phys , vol.9 , pp. 3567-3582
    • THEODOSOPULU, M.1    DAHLER, J.S.2
  • 51
    • 36749119623 scopus 로고
    • Kinetic theory of polyatomic liquids. I. The rough sphere, rigid ellipsoid and square-well ellipsoid models
    • THEODOSOPULU, M. & DAHLER, J. S. 1974b Kinetic theory of polyatomic liquids. I. The rough sphere, rigid ellipsoid and square-well ellipsoid models. J. Chem. Phys. 9, 4048-4057.
    • (1974) J. Chem. Phys , vol.9 , pp. 4048-4057
    • THEODOSOPULU, M.1    DAHLER, J.S.2
  • 52
    • 0001222938 scopus 로고
    • Nearest neighbour statistics for packings of hard disks and spheres
    • TORQUATO, S. 1995 Nearest neighbour statistics for packings of hard disks and spheres. Phys. Rev. E 51, 3170-3182.
    • (1995) Phys. Rev. E , vol.51 , pp. 3170-3182
    • TORQUATO, S.1


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