메뉴 건너뛰기




Volumn 632, Issue , 2009, Pages 109-144

Dynamics of dense sheared granular flows. Part 1. Structure and diffusion

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; GRANULAR MATERIALS; JOINING; STRAIN RATE; VOLUME FRACTION;

EID: 69649095127     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009006776     Document Type: Article
Times cited : (35)

References (58)
  • 1
    • 0035363066 scopus 로고    scopus 로고
    • Inelastic collapse in simple shear flow of a granular medium
    • ALAM, M. & HRENYA, C. M. 2001 Inelastic collapse in simple shear flow of a granular medium. Phys. Rev. E 63, 061308.
    • (2001) Phys. Rev. E , vol.63 , pp. 061308
    • ALAM, M.1    HRENYA, C.M.2
  • 2
    • 2042430560 scopus 로고
    • Decay of the velocity autocorrelation function
    • ALDER, B. & WAINWRIGHT 1970 Decay of the velocity autocorrelation function. Phys. Rev. A 1, 18.
    • (1970) Phys. Rev. A , vol.1 , pp. 18
    • ALDER, B.1    WAINWRIGHT2
  • 4
    • 5544327024 scopus 로고
    • One-dimensional bounce of inelastically colliding marbles on a wall
    • BERNU, B. & MAZIGHI, R. 1990 One-dimensional bounce of inelastically colliding marbles on a wall. J. Phys. A 23 5745-5754.
    • (1990) J. Phys. A , vol.23 , pp. 5745-5754
    • BERNU, B.1    MAZIGHI, R.2
  • 5
    • 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
  • 6
    • 0031246912 scopus 로고    scopus 로고
    • Microstructure of strongly sheared suspensions and its impact on rheology and diffusion
    • BRADY, J. F. & MORRIS, J. B. 1997 Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. J. Fluid Mech. 348, 103-139.
    • (1997) J. Fluid Mech , vol.348 , pp. 103-139
    • BRADY, J.F.1    MORRIS, J.B.2
  • 7
    • 0031246549 scopus 로고    scopus 로고
    • CAMPBELL, C. S. 1997 Solf-diffusion in granular shear flows. J. Fluid Mech. 348, 85-101.
    • CAMPBELL, C. S. 1997 Solf-diffusion in granular shear flows. J. Fluid Mech. 348, 85-101.
  • 8
    • 85124574562 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.
  • 9
    • 85124575494 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.
  • 11
    • 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
  • 12
    • 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
  • 13
    • 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
  • 15
    • 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
  • 16
    • 0000848366 scopus 로고    scopus 로고
    • Self-diffusion in sheared suspensions by dynamic simulation
    • FOSS, D. R. & BRADY, J. F. 1999 Self-diffusion in sheared suspensions by dynamic simulation. J. Fluid Mech. 401, 243-274.
    • (1999) J. Fluid Mech , vol.401 , pp. 243-274
    • FOSS, D.R.1    BRADY, J.F.2
  • 17
    • 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
  • 18
    • 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
  • 19
    • 12044258224 scopus 로고
    • Clustering instability in dissipative gases
    • GOLDHIRSCH, I. & ZANETTI, G. 1993 Clustering instability in dissipative gases. Phys. Rev. Lett. 70, 1619-1622.
    • (1993) Phys. Rev. Lett , vol.70 , pp. 1619-1622
    • GOLDHIRSCH, I.1    ZANETTI, G.2
  • 21
    • 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
  • 22
    • 0025957905 scopus 로고
    • Inelastic microstructure in rapid granular flows of smooth disks
    • HOPKINS, M. A. & LOUGE, M. Y. 1991 Inelastic microstructure in rapid granular flows of smooth disks. Phys. Fluids A 3, 47-57.
    • (1991) Phys. Fluids A , vol.3 , pp. 47-57
    • HOPKINS, M.A.1    LOUGE, M.Y.2
  • 23
    • 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.
  • 24
    • 36148978510 scopus 로고    scopus 로고
    • JENKINS, J. T. 2007 Dense inclined flows of inelastic spheres. Gran. Matter 10, 47-52.
    • JENKINS, J. T. 2007 Dense inclined flows of inelastic spheres. Gran. Matter 10, 47-52.
  • 25
    • 0021899363 scopus 로고
    • Grad's 13-moment system for a dense gas of inelastic spheres
    • JENKINS, J. T. & RICHMAN, M. W. 1985 Grad's 13-moment system for a dense gas of inelastic spheres. Arch. Rat. Mech. Anal. 87, 355-377.
    • (1985) Arch. Rat. Mech. Anal , vol.87 , pp. 355-377
    • JENKINS, J.T.1    RICHMAN, M.W.2
  • 26
    • 0020751294 scopus 로고
    • A theory for the rapid flow of identical, smooth, nearly elastic particles
    • JENKINS, J. T. & SAVAGE S. B. 1983 A theory for the rapid flow of identical, smooth, nearly elastic particles. J. Fluid Mech. 130 186-202.
    • (1983) J. Fluid Mech , vol.130 , pp. 186-202
    • JENKINS, J.T.1    SAVAGE, S.B.2
  • 27
    • 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
  • 28
    • 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
  • 29
    • 25444533588 scopus 로고    scopus 로고
    • Voronoi cell volume distribution and configurational entropy of hard spheres
    • KUMAR, V. S. & KUMARAN, V. 2005. Voronoi cell volume distribution and configurational entropy of hard spheres. J. Chem. Phys. 123 114501-114513.
    • (2005) J. Chem. Phys , vol.123 , pp. 114501-114513
    • KUMAR, V.S.1    KUMARAN, V.2
  • 30
    • 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
  • 31
    • 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
  • 32
    • 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
  • 33
    • 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 V1
  • 34
    • 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
  • 35
    • 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
  • 36
    • 40549142399 scopus 로고    scopus 로고
    • Dense granular flow down an inclined plane: From kinetic theory to granular dynamics
    • KUMARAN, V. 2008 Dense granular flow down an inclined plane: From kinetic theory to granular dynamics. J. Fluid Mech. 599, 120-168.
    • (2008) J. Fluid Mech , vol.599 , pp. 120-168
    • KUMARAN, V.1
  • 37
    • 59449092204 scopus 로고    scopus 로고
    • Dynamics of a dilute sheared inelastic fluid. Part 1. Hydrodynamic modes and the velocity correlation functions
    • KUMARAN, V. 2009a Dynamics of a dilute sheared inelastic fluid. Part 1. Hydrodynamic modes and the velocity correlation functions. Phys. Rev. E 79, 011301.
    • (2009) Phys. Rev. E , vol.79 , pp. 011301
    • KUMARAN, V.1
  • 38
    • 59449102831 scopus 로고    scopus 로고
    • Dynamics of a dilute sheared inelastic fluid. Part 2. The effect of correlations
    • KUMARAN, V. 2009b Dynamics of a dilute sheared inelastic fluid. Part 2. The effect of correlations. Phys. Rev. E 79, 011302.
    • (2009) Phys. Rev. E , vol.79 , pp. 011302
    • KUMARAN, V.1
  • 39
    • 28944451669 scopus 로고    scopus 로고
    • Numerical tests of constitutive laws for dense granular flows
    • LOIS, G., LEMATRE, 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    LEMATRE, A.2    CARLSON, J.M.3
  • 40
    • 0032278755 scopus 로고    scopus 로고
    • How to handle the inelastic collapse of a dissipative hard-sphere gas with the TC model
    • LUDING, S. & MCNAMARA, S. 1998 How to handle the inelastic collapse of a dissipative hard-sphere gas with the TC model. Gran. Matter 1, 113-128.
    • (1998) Gran. Matter , vol.1 , pp. 113-128
    • LUDING, S.1    MCNAMARA, S.2
  • 41
    • 0021642448 scopus 로고
    • Kinetic theories for granular flow: Inelastic particles in Couette flow and slightly inelastic particles in a general flow field
    • LUN, C. K. K., SAVAGE, S. B., JEFFREY, D. J. & CHEPURNIY, N. 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.
    • (1984) J. Fluid Mech , vol.140 , pp. 223-256
    • LUN, C.K.K.1    SAVAGE, S.B.2    JEFFREY, D.J.3    CHEPURNIY, N.4
  • 42
    • 17944386918 scopus 로고    scopus 로고
    • LUTSKO, J. F. 2001 Velocity correlations and the structure of nonequilibrium hard-core fluids. Phys. Rev. Lett. 86, 3344-3347.
    • LUTSKO, J. F. 2001 Velocity correlations and the structure of nonequilibrium hard-core fluids. Phys. Rev. Lett. 86, 3344-3347.
  • 43
    • 0347922060 scopus 로고
    • Inelastic collapse and clumping in a one-dimensional granular medium
    • MCNAMARA, S. & YOUNG, W. R. 1992 Inelastic collapse and clumping in a one-dimensional granular medium. Phys. Fluids A 4, 496.
    • (1992) Phys. Fluids A , vol.4 , pp. 496
    • MCNAMARA, S.1    YOUNG, W.R.2
  • 44
    • 0002843730 scopus 로고
    • Inelastic collapse in two dimensions
    • MCNAMARA, S. & YOUNG, W. R. 1994 Inelastic collapse in two dimensions. Phys. Rev. E 50, R28.
    • (1994) Phys. Rev. E , vol.50
    • MCNAMARA, S.1    YOUNG, W.R.2
  • 45
    • 18144367718 scopus 로고    scopus 로고
    • Bagnold scaling, density plateau, and kinetic theory analysis of dense granular flow
    • MITARAI, N. & NAKANISHI, 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    NAKANISHI, H.2
  • 46
    • 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
  • 47
    • 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
  • 48
    • 0004706699 scopus 로고
    • Dynamic light scattering by non-ergodic media
    • PUSEY, P. N. & VAN MEGAN, W. 1989 Dynamic light scattering by non-ergodic media. Physica A 157, 705-741.
    • (1989) Physica A , vol.157 , pp. 705-741
    • PUSEY, P.N.1    VAN MEGAN, W.2
  • 49
    • 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
  • 51
    • 0019371546 scopus 로고
    • The stress tensor in a granular flow at high shear rates
    • SAVAGE, S. B. & JEFFREY, D. J. 1981 The stress tensor in a granular flow at high shear rates. J. Fluid Mech. 110, 255-272.
    • (1981) J. Fluid Mech , vol.110 , pp. 255-272
    • SAVAGE, S.B.1    JEFFREY, D.J.2
  • 52
    • 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
  • 53
    • 0009109781 scopus 로고    scopus 로고
    • Kinetic theoretical study of a simply sheared two-dimensional granular gas to Burnett order
    • SELA, N., GOLDHIRSCH, I. & NOSKOWICZ, S. H. 1996 Kinetic theoretical study of a simply sheared two-dimensional granular gas to Burnett order. Phys. Fluids 8, 2337.
    • (1996) Phys. Fluids , vol.8 , pp. 2337
    • SELA, N.1    GOLDHIRSCH, I.2    NOSKOWICZ, S.H.3
  • 56
    • 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
  • 57
    • 28744459599 scopus 로고    scopus 로고
    • Heterogeneities in the glassy state
    • VOLLMAYR-LEE, K. & ZIPPELIUS, A. 2005 Heterogeneities in the glassy state. Phys. Rev. E 72, 041507.
    • (2005) Phys. Rev. E , vol.72 , pp. 041507
    • VOLLMAYR-LEE, K.1    ZIPPELIUS, A.2
  • 58
    • 0034723445 scopus 로고    scopus 로고
    • Three-dimensional direct imaging of structural relaxation near the colloidal glass transition
    • WEEKS, E. R., CROCKER, J. C., LEVITT, A. C., SCHOFIELD, A. & WEITZ, D. A. 2000 Three-dimensional direct imaging of structural relaxation near the colloidal glass transition. Science 287, 627-631.
    • (2000) Science , vol.287 , pp. 627-631
    • WEEKS, E.R.1    CROCKER, J.C.2    LEVITT, A.C.3    SCHOFIELD, A.4    WEITZ, D.A.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.