메뉴 건너뛰기




Volumn 615, Issue , 2008, Pages 293-321

Universality of shear-banding instability and crystallization in sheared granular fluid

Author keywords

[No Author keywords available]

Indexed keywords

CONSTITUTIVE MODELS; EQUATIONS OF STATE; FRICTION; GRANULAR MATERIALS; LINEAR STABILITY ANALYSIS; NAVIER STOKES EQUATIONS; THERMAL CONDUCTIVITY;

EID: 56149088056     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008003832     Document Type: Article
Times cited : (25)

References (54)
  • 1
    • 30244575816 scopus 로고
    • Shear-induced partial translational ordering of a colloidal solid
    • ACKERSON, B. J. & CLARK, N. A. 1984 Shear-induced partial translational ordering of a colloidal solid. Phys. Rev. A 30 906.
    • (1984) Phys. Rev. A , vol.30 , pp. 906
    • ACKERSON, B.J.1    CLARK, N.A.2
  • 2
    • 33645687485 scopus 로고    scopus 로고
    • Universal unfolding of pitchfork bifurcations and the shear-band formation in rapid granular Couette flow
    • ed. Y. Wang & K. Hutter, pp, Shaker, Aachen
    • ALAM, M. 2005 Universal unfolding of pitchfork bifurcations and the shear-band formation in rapid granular Couette flow. In Trends in Applications of Mathematics to Mechanics (ed. Y. Wang & K. Hutter), pp. 11-20. Shaker, Aachen.
    • (2005) Trends in Applications of Mathematics to Mechanics , pp. 11-20
    • ALAM, M.1
  • 3
    • 33645686699 scopus 로고    scopus 로고
    • Streamwise structures and density patterns in rapid granular Couette flow: A linear stability analysis
    • ALAM, M. 2006 Streamwise structures and density patterns in rapid granular Couette flow: A linear stability analysis. J. Fluid Mech. 553, 1.
    • (2006) J. Fluid Mech , vol.553 , pp. 1
    • ALAM, M.1
  • 4
    • 84870970857 scopus 로고    scopus 로고
    • ALAM, M. 2008 Dynamics of sheared granular fluid. In Proc. 12th Asian Congress of Fluid Mechanics, 18-21 August, Daejeon, Korea (ed. H. J. Sung), pp. 1-6.
    • ALAM, M. 2008 Dynamics of sheared granular fluid. In Proc. 12th Asian Congress of Fluid Mechanics, 18-21 August, Daejeon, Korea (ed. H. J. Sung), pp. 1-6.
  • 5
    • 0037428892 scopus 로고    scopus 로고
    • Rheology of bidisperse granular mixture via event-driven simulations
    • ALAM, M. & LUDING, S. 2003a Rheology of bidisperse granular mixture via event-driven simulations. J. Fluid Mech. 476, 69.
    • (2003) J. Fluid Mech , vol.476 , pp. 69
    • ALAM, M.1    LUDING, S.2
  • 6
    • 0043285881 scopus 로고    scopus 로고
    • First normal stress difference and crystallization in a dense sheared granular fluid
    • ALAM, M. & LUDING, S. 2003b First normal stress difference and crystallization in a dense sheared granular fluid. Phys. Fluids 15, 2298.
    • (2003) Phys. Fluids , vol.15 , pp. 2298
    • ALAM, M.1    LUDING, S.2
  • 7
    • 21244480094 scopus 로고    scopus 로고
    • Energy noequipartition, rheology and microstructure in sheared bidisperse granular mixtures
    • ALAM, M. & LUDING, S. 2005 Energy noequipartition, rheology and microstructure in sheared bidisperse granular mixtures. Phys. Fluids 17, 063303.
    • (2005) Phys. Fluids , vol.17 , pp. 063303
    • ALAM, M.1    LUDING, S.2
  • 8
    • 0031177680 scopus 로고    scopus 로고
    • The influence of friction on the stability of unbounded granular shear flow
    • ALAM, M. & NOTT, P. R. 1997 The influence of friction on the stability of unbounded granular shear flow. J. Fluid Mech. 343 267.
    • (1997) J. Fluid Mech , vol.343 , pp. 267
    • ALAM, M.1    NOTT, P.R.2
  • 9
    • 0032317533 scopus 로고    scopus 로고
    • Stability of plane Couette flow of a granular material
    • ALAM, M. & NOTT, P. R. 1998 Stability of plane Couette flow of a granular material. J. Fluid Mech. 377, 99.
    • (1998) J. Fluid Mech , vol.377 , pp. 99
    • ALAM, M.1    NOTT, P.R.2
  • 10
    • 13844269365 scopus 로고    scopus 로고
    • Instability-induced ordering, universal unfolding and the role of gravity in granular Couette flow
    • ALAM, M., ARAKERI, V., GODDARD, D., NOTT, P. & HERRMANN, H. 2005 Instability-induced ordering, universal unfolding and the role of gravity in granular Couette flow. J. Fluid Mech. 523, 277.
    • (2005) J. Fluid Mech , vol.523 , pp. 277
    • ALAM, M.1    ARAKERI, V.2    GODDARD, D.3    NOTT, P.4    HERRMANN, H.5
  • 11
    • 0025000507 scopus 로고    scopus 로고
    • CAMPBELL, C. S. 1990 Rapid granular flows. Annu. Rev. Fluid Mech. 22, 57.
    • CAMPBELL, C. S. 1990 Rapid granular flows. Annu. Rev. Fluid Mech. 22, 57.
  • 12
    • 41749105283 scopus 로고    scopus 로고
    • Shearbanding in biphasic liquid-liquid systems
    • CASERTA, S., SIMEONE, M. & GUIDO, S. 2008 Shearbanding in biphasic liquid-liquid systems. Phys. Rev. Lett. 100, 137801.
    • (2008) Phys. Rev. Lett , vol.100 , pp. 137801
    • CASERTA, S.1    SIMEONE, M.2    GUIDO, S.3
  • 13
    • 1842865084 scopus 로고    scopus 로고
    • Density waves and coherent structures in granular Couette flow
    • CONWAY, S. & GLASSER, B. J. 2004 Density waves and coherent structures in granular Couette flow. Phys. Fluids 16, 509.
    • (2004) Phys. Fluids , vol.16 , pp. 509
    • CONWAY, S.1    GLASSER, B.J.2
  • 14
    • 0001183646 scopus 로고
    • Shear viscosity of the hard sphere fluid via non-equilibrium molecular dynamics
    • ERPENBECK, J. 1984 Shear viscosity of the hard sphere fluid via non-equilibrium molecular dynamics. Phys. Rev. Lett. 52, 1333.
    • (1984) Phys. Rev. Lett , vol.52 , pp. 1333
    • ERPENBECK, J.1
  • 15
    • 26144459751 scopus 로고
    • Shear thickening and turbulence in simple fuids
    • EVANS, D. J. & MORRISS, G. P. 1986 Shear thickening and turbulence in simple fuids. Phys. Rev. Lett. 56, 2172.
    • (1986) Phys. Rev. Lett , vol.56 , pp. 2172
    • EVANS, D.J.1    MORRISS, G.P.2
  • 16
    • 33845561887 scopus 로고    scopus 로고
    • Transport coefficients for dense hard-disk systems
    • GARCIA-ROJO, R., LUDING, S. & BREY, J. J. 2006 Transport coefficients for dense hard-disk systems. Phys. Rev. E 74, 061305.
    • (2006) Phys. Rev. E , vol.74 , pp. 061305
    • GARCIA-ROJO, R.1    LUDING, S.2    BREY, J.J.3
  • 17
    • 36849113889 scopus 로고    scopus 로고
    • GASS, D. M. 1971 Enskog theory for a rigid disk fluid. J. Chem. Phys. 54, 1898.
    • GASS, D. M. 1971 Enskog theory for a rigid disk fluid. J. Chem. Phys. 54, 1898.
  • 18
    • 33750209429 scopus 로고    scopus 로고
    • Algebraic and exponential instabilities in a sheared micropolar granular fluid
    • GAYEN, B. & ALAM, M. 2006 Algebraic and exponential instabilities in a sheared micropolar granular fluid. J. Fluid Mech. 567, 195.
    • (2006) J. Fluid Mech , vol.567 , pp. 195
    • GAYEN, B.1    ALAM, M.2
  • 19
    • 40849113711 scopus 로고    scopus 로고
    • Orientational correlation and velocity distributions in uniform shear flow of a dilute granular gas
    • GAYEN, B. & ALAM, M. 2008 Orientational correlation and velocity distributions in uniform shear flow of a dilute granular gas. Phys. Rev. Lett. 100, 068002.
    • (2008) Phys. Rev. Lett , vol.100 , pp. 068002
    • GAYEN, B.1    ALAM, M.2
  • 20
    • 36749109216 scopus 로고
    • Coil-stretch transition of dilute flexible polymers under ultra-high gradients
    • DE GENNES, P. G. 1974 Coil-stretch transition of dilute flexible polymers under ultra-high gradients. J. Chem. Phys. 60, 5030.
    • (1974) J. Chem. Phys , vol.60 , pp. 5030
    • DE GENNES, P.G.1
  • 21
    • 0031126587 scopus 로고    scopus 로고
    • Shear-band formation in a non-Newtonian fluid model with a constitutive instability
    • GRECO, F. & BALL, R. C. 1997 Shear-band formation in a non-Newtonian fluid model with a constitutive instability. J. Non-Newtonian Fluid Mech. 69, 195.
    • (1997) J. Non-Newtonian Fluid Mech , vol.69 , pp. 195
    • GRECO, F.1    BALL, R.C.2
  • 23
    • 0020811698 scopus 로고    scopus 로고
    • HAFF, P. K. 1983 Grain flow as a fluid-mechanical phenomenon. J. Fluid Mech. 134, 401.
    • HAFF, P. K. 1983 Grain flow as a fluid-mechanical phenomenon. J. Fluid Mech. 134, 401.
  • 24
    • 0001120321 scopus 로고
    • A simple equation of state for hard discs
    • HENDERSON, D. 1975 A simple equation of state for hard discs. Mol. Phys. 30, 971.
    • (1975) Mol. Phys , vol.30 , pp. 971
    • HENDERSON, D.1
  • 25
    • 0015482015 scopus 로고    scopus 로고
    • HOFFMAN, R. L. 1972 Discontinuous and dilatant viscosity behaviour in concentrated suspensions. I. Observation of a flow instability. Trans. Soc. Rheol. 16, 155.
    • HOFFMAN, R. L. 1972 Discontinuous and dilatant viscosity behaviour in concentrated suspensions. I. Observation of a flow instability. Trans. Soc. Rheol. 16, 155.
  • 26
    • 0025957905 scopus 로고
    • Inelastic microstructure in rapid granular flows of smooth disks
    • HOPKINS, M. & LOUGE, M. Y. 1991 Inelastic microstructure in rapid granular flows of smooth disks. Phys. Fluids A 3, 47.
    • (1991) Phys. Fluids A , vol.3 , pp. 47
    • HOPKINS, M.1    LOUGE, M.Y.2
  • 27
    • 0001142863 scopus 로고
    • Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks
    • JENKINS, J. T. & RICHMAN, M. W. 1985 Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks. Phys. Fluids 28, 3485.
    • (1985) Phys. Fluids , vol.28 , pp. 3485
    • JENKINS, J.T.1    RICHMAN, M.W.2
  • 28
    • 6144237959 scopus 로고
    • Stability analysis of a dense hard-sphere fluid subjected to large shear-induced ordering
    • KIRPATRICK, T. R. & NIEUWOUDT, J. C. 1986 Stability analysis of a dense hard-sphere fluid subjected to large shear-induced ordering. Phys. Rev. Lett. 56, 885.
    • (1986) Phys. Rev. Lett , vol.56 , pp. 885
    • KIRPATRICK, T.R.1    NIEUWOUDT, J.C.2
  • 29
    • 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
  • 30
    • 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
  • 32
    • 5044248199 scopus 로고    scopus 로고
    • Non-equilibrium phase behaviour of rodlike viruses under shear flow
    • LETTINGA, M. P. & DHONT, J. K. G. 2004 Non-equilibrium phase behaviour of rodlike viruses under shear flow. J. Phys. Cond. Matter 16, S3929.
    • (2004) J. Phys. Cond. Matter , vol.16
    • LETTINGA, M.P.1    DHONT, J.K.G.2
  • 33
    • 0002026350 scopus 로고
    • Rheology of dense model fluids via nonequilibrium molecular dynamics: Shear-thinning and ordering transition
    • LOOSE, W. & HESS, S. 1989 Rheology of dense model fluids via nonequilibrium molecular dynamics: Shear-thinning and ordering transition. Rheol. Acta 28, 101.
    • (1989) Rheol. Acta , vol.28 , pp. 101
    • LOOSE, W.1    HESS, S.2
  • 35
    • 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
  • 36
    • 0141916071 scopus 로고    scopus 로고
    • Liquid-solid transition in bidisperse granulates
    • LUDING, S. 2002 Liquid-solid transition in bidisperse granulates. Adv. Complex Syst. 4, 379.
    • (2002) Adv. Complex Syst , vol.4 , pp. 379
    • LUDING, S.1
  • 37
    • 56149114389 scopus 로고    scopus 로고
    • From dilute to very dense granular media
    • Preprint
    • LUDING, S. 2008 From dilute to very dense granular media. Preprint.
    • (2008)
    • LUDING, S.1
  • 38
    • 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.
    • (1984) J. Fluid Mech , vol.140 , pp. 223
    • LUN, C.K.K.1    SAVAGE, S.B.2    JEFFREY, D.J.3    CHEPURNIY, N.4
  • 39
    • 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.
    • (1986) Phys. Rev. Lett , vol.57 , pp. 2775
    • LUTSKO, J.F.1    DUFTY, J.W.2
  • 40
    • 0027439535 scopus 로고    scopus 로고
    • McNAMARA, S. 1993 Hydrodynamic modes of a uniform granular medium. Phys. Fluids A 5, 3056.
    • McNAMARA, S. 1993 Hydrodynamic modes of a uniform granular medium. Phys. Fluids A 5, 3056.
  • 42
    • 6044274691 scopus 로고    scopus 로고
    • The effect of boundaries on the plane Couette flow of granular materials: A bifurcation analysis
    • NOTT, P. R., AlAM, M., AGRAWAL, K., JACKSON, R. & SUNDARESAN, S. 1999 The effect of boundaries on the plane Couette flow of granular materials: A bifurcation analysis. J. Fluid Mech. 397, 203.
    • (1999) J. Fluid Mech , vol.397 , pp. 203
    • NOTT, P.R.1    AlAM, M.2    AGRAWAL, K.3    JACKSON, R.4    SUNDARESAN, S.5
  • 43
    • 41549099586 scopus 로고    scopus 로고
    • OLMSTED, P. D. 2008 Perspective on shear banding in complex fluids. Rheol. Acta 47, 283.
    • OLMSTED, P. D. 2008 Perspective on shear banding in complex fluids. Rheol. Acta 47, 283.
  • 44
    • 33846948595 scopus 로고    scopus 로고
    • Rheology of a granular gas under a plane shear
    • SAITOH, K. & HAYAKAWA, H. 2007 Rheology of a granular gas under a plane shear. Phys. Rev. E 75, 021302.
    • (2007) Phys. Rev. E , vol.75 , pp. 021302
    • SAITOH, K.1    HAYAKAWA, H.2
  • 45
    • 0021641958 scopus 로고
    • Stresses developed by dry cohesionless granular materials sheared in an annular shear cell
    • SAVAGE, S. B. & SAYED, S. 1984 Stresses developed by dry cohesionless granular materials sheared in an annular shear cell. J. Fluid Mech. 142, 391.
    • (1984) J. Fluid Mech , vol.142 , pp. 391
    • SAVAGE, S.B.1    SAYED, S.2
  • 46
    • 0032050661 scopus 로고    scopus 로고
    • Hydrodynamic equations for rapid shear flows of smooth inelastic spheres, to Burnett order
    • SELA, N. & GOLDHIRSCH, I. 1998 Hydrodynamic equations for rapid shear flows of smooth inelastic spheres, to Burnett order. J. Fluid Mech. 361, 41.
    • (1998) J. Fluid Mech , vol.361 , pp. 41
    • SELA, N.1    GOLDHIRSCH, I.2
  • 47
    • 56149086496 scopus 로고    scopus 로고
    • Nonlinear stability of granular shear flow: Landau equation, shearbanding and universality
    • Adelaide, Australia. ISBN 978-0-9805142-0-9
    • SHUKLA, P. & ALAM, M. 2008 Nonlinear stability of granular shear flow: Landau equation, shearbanding and universality. In Proc. Intl Conf. on Theoretical and Applied Mechanics, 24-29 August, Adelaide, Australia. ISBN 978-0-9805142-0-9.
    • (2008) Proc. Intl Conf. on Theoretical and Applied Mechanics, 24-29 August
    • SHUKLA, P.1    ALAM, M.2
  • 49
    • 0030747526 scopus 로고    scopus 로고
    • Intercluster interactions in rapid granular shear flows
    • TAN, M. & GOLDHIRSCH, I. 1997 Intercluster interactions in rapid granular shear flows. Phys. Fluids 9, 856.
    • (1997) Phys. Fluids , vol.9 , pp. 856
    • TAN, M.1    GOLDHIRSCH, I.2
  • 50
    • 0001222938 scopus 로고
    • Nearest-neighbour statistics for packings of hard spheres and disks
    • TORQUATO, S. 1995 Nearest-neighbour statistics for packings of hard spheres and disks. Phys. Rev. E 51, 3170.
    • (1995) Phys. Rev. E , vol.51 , pp. 3170
    • TORQUATO, S.1
  • 51
    • 0141453209 scopus 로고    scopus 로고
    • Internal granular dynamics, shear-induced crystallization, and compaction steps
    • TSAI, J. C., VOTH, G. A. & GOLLUB, J. P. 2003 Internal granular dynamics, shear-induced crystallization, and compaction steps. Phys. Rev. Lett. 91, 064301.
    • (2003) Phys. Rev. Lett , vol.91 , pp. 064301
    • TSAI, J.C.1    VOTH, G.A.2    GOLLUB, J.P.3
  • 53
    • 37649027043 scopus 로고    scopus 로고
    • Partially fluidized shear granular flows: Continuum theory and molecular dynamics simulations
    • VOLFSON, D., TSIMRING, L. S. & ARANSON, I. S. 2003 Partially fluidized shear granular flows: Continuum theory and molecular dynamics simulations. Phys. Rev. E 68, 021301.
    • (2003) Phys. Rev. E , vol.68 , pp. 021301
    • VOLFSON, D.1    TSIMRING, L.S.2    ARANSON, I.S.3
  • 54
    • 33748158698 scopus 로고    scopus 로고
    • Linear instability of planer shear banded flow of both diffusive and non-diffusive Johnson-Segelman fluids
    • WILSON, H. J. & FIELDING, S. M. 2005 Linear instability of planer shear banded flow of both diffusive and non-diffusive Johnson-Segelman fluids. J. Non-Newtonian Fluid Mech. 138, 181.
    • (2005) J. Non-Newtonian Fluid Mech , vol.138 , pp. 181
    • WILSON, H.J.1    FIELDING, S.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.