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Volumn 567, Issue , 2006, Pages 195-233

Algebraic and exponential instabilities in a sheared micropolar granular fluid

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ASYMPTOTIC STABILITY; GRANULAR MATERIALS; PERTURBATION TECHNIQUES; ROTATIONAL FLOW; SHEAR FLOW;

EID: 33750209429     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200600214X     Document Type: Article
Times cited : (42)

References (62)
  • 1
    • 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), 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
  • 2
    • 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
  • 3
    • 0037428892 scopus 로고    scopus 로고
    • Rheology of bidisperse granular mixtures via event-driven simulations
    • Alam, M. & Luding, S. 2003a Rheology of bidisperse granular mixtures via event-driven simulations. J. Fluid Mech. 476, 69.
    • (2003) J. Fluid Mech. , vol.476 , pp. 69
    • Alam, M.1    Luding, S.2
  • 4
    • 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
  • 5
    • 0031177680 scopus 로고    scopus 로고
    • The influence of friction on the stability of unbounded granular Couette flow
    • Alam, M. & Nott, P. R. 1997 The influence of friction on the stability of unbounded granular Couette flow. J. Fluid Mech. 343, 267.
    • (1997) J. Fluid Mech. , vol.343 , pp. 267
    • Alam, M.1    Nott, P.R.2
  • 6
    • 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
  • 7
    • 0027533086 scopus 로고
    • On the stability of rapid granular flows
    • Babić, M. 1993 On the stability of rapid granular flows. J. Fluid Mech. 254, 127.
    • (1993) J. Fluid Mech. , vol.254 , pp. 127
    • Babić, M.1
  • 8
    • 0000471897 scopus 로고    scopus 로고
    • Average balance equations for granular materials
    • Babić, M. 1997 Average balance equations for granular materials. Intl J. Engng Sci. 35, 523.
    • (1997) Intl J. Engng Sci. , vol.35 , pp. 523
    • Babić, M.1
  • 10
    • 18744399894 scopus 로고    scopus 로고
    • Rotationally driven gas of inelastic rough spheres
    • Cafiero, R., Luding, S. & Herrmann, H. J. 2002 Rotationally driven gas of inelastic rough spheres. Europhys. Lett. 60, 854.
    • (2002) Europhys. Lett. , vol.60 , pp. 854
    • Cafiero, R.1    Luding, S.2    Herrmann, H.J.3
  • 11
    • 0027469248 scopus 로고
    • Boundary interactions for two-dimensional granular flows. Part 1. Flat boundaries, asymmetric stresses and couple stresses
    • Campbell, C. S. 1993 Boundary interactions for two-dimensional granular flows. Part 1. Flat boundaries, asymmetric stresses and couple stresses. J. Fluid Mech. 247, 111.
    • (1993) J. Fluid Mech. , vol.247 , pp. 111
    • Campbell, C.S.1
  • 13
    • 0032183945 scopus 로고    scopus 로고
    • Constitutive theory for homogeneous granular shear flows of highly inelastic spheres
    • Chou, C. S. & Richman, M. W. 1999 Constitutive theory for homogeneous granular shear flows of highly inelastic spheres. Physica A 259, 430.
    • (1999) Physica A , vol.259 , pp. 430
    • Chou, C.S.1    Richman, M.W.2
  • 14
    • 0010835546 scopus 로고
    • Fluid mechanical aspects of antisymmetric stress
    • Condiff, D. W. & Dahler, J. S. 1964 Fluid mechanical aspects of antisymmetric stress. Phys. Fluids 6, 842.
    • (1964) Phys. Fluids , vol.6 , pp. 842
    • Condiff, D.W.1    Dahler, J.S.2
  • 15
    • 1842865084 scopus 로고    scopus 로고
    • Density waves and coherent structures in granular Couette flow
    • Conway, S. L. & 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.L.1    Glasser, B.J.2
  • 16
  • 17
    • 0040917120 scopus 로고
    • Stability of linear flows
    • Ellingsen, T. & Palm, E. 1975 Stability of linear flows. Phys. Fluids 18, 487.
    • (1975) Phys. Fluids , vol.18 , pp. 487
    • Ellingsen, T.1    Palm, E.2
  • 19
    • 0001686317 scopus 로고    scopus 로고
    • Origin of normal stress differences in rapid granular flows
    • Goldhirsch, I. & Sela, N. 1996 Origin of normal stress differences in rapid granular flows. Phys. Rev. E 54, 4458.
    • (1996) Phys. Rev. E , vol.54 , pp. 4458
    • Goldhirsch, I.1    Sela, N.2
  • 20
    • 12044258224 scopus 로고
    • Clustering instability in dissipative gases
    • Goldhirsch, I. & Zanetti, D. 1993 Clustering instability in dissipative gases. Phys. Rev. Lett. 70, 1619.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 1619
    • Goldhirsch, I.1    Zanetti, D.2
  • 22
    • 0028992020 scopus 로고
    • Hydrodynamics of granular materials
    • Goldshtein, A. & Shapiro, M. 1995 Hydrodynamics of granular materials. J. Fluid Mech. 282, 75.
    • (1995) J. Fluid Mech. , vol.282 , pp. 75
    • Goldshtein, A.1    Shapiro, M.2
  • 23
    • 33750222049 scopus 로고    scopus 로고
    • Note on a micropolar gas-kinetic theory
    • (ed. M. Fukui, Y. Sugiyama, M. Schreckenberg & D. Wolf) Springer
    • Hayakawa, H. 2003 Note on a micropolar gas-kinetic theory. In Traffic and Granular Flows 2001 (ed. M. Fukui, Y. Sugiyama, M. Schreckenberg & D. Wolf), pp. 485-490. Springer.
    • (2003) Traffic and Granular Flows 2001 , pp. 485-490
    • Hayakawa, H.1
  • 27
    • 0000365265 scopus 로고    scopus 로고
    • Dynamics of inelastically colliding rough spheres: Relaxation of translational and rotational energy
    • Huthmann, M. & Zippelius, A. 1997 Dynamics of inelastically colliding rough spheres: Relaxation of translational and rotational energy. Phys. Rev. E 56, R6275.
    • (1997) Phys. Rev. E , vol.56
    • Huthmann, M.1    Zippelius, A.2
  • 30
    • 0001142863 scopus 로고
    • Kinetic theory for plane flows of a dense gas of identical, rough, inelastic disks
    • Jenkins, J. T. & Richman, M. W. 1985 Kinetic theory for plane flows of a dense gas of identical, rough, inelastic disks. Phys. Fluids 28, 3485.
    • (1985) Phys. Fluids , vol.28 , pp. 3485
    • Jenkins, J.T.1    Richman, M.W.2
  • 31
    • 0036504172 scopus 로고    scopus 로고
    • Kinetic theory for identical, frictional, nearly elastic spheres
    • Jenkins, J. T. & Zhang, C. 2002 Kinetic theory for identical, frictional, nearly elastic spheres. Phys. Fluids 14, 1228.
    • (2002) Phys. Fluids , vol.14 , pp. 1228
    • Jenkins, J.T.1    Zhang, C.2
  • 32
    • 0022287934 scopus 로고
    • Change of type and loss of evolution in the flow of viscoelastic fluids
    • Joseph, D. D. & Saut, J. C. 1986 Change of type and loss of evolution in the flow of viscoelastic fluids. J. Non-Newtonian Fluid Mech. 20, 117.
    • (1986) J. Non-Newtonian Fluid Mech. , vol.20 , pp. 117
    • Joseph, D.D.1    Saut, J.C.2
  • 33
    • 0033248427 scopus 로고    scopus 로고
    • Built upon sand: Theoretical ideas inspired by granular flows
    • Kadanoff, L. 1999 Built upon sand: Theoretical ideas inspired by granular flows. Rev. Mod. Phys. 71, 435.
    • (1999) Rev. Mod. Phys. , vol.71 , pp. 435
    • Kadanoff, L.1
  • 34
    • 0018724201 scopus 로고
    • A micropolar continuum theory for the flow of granular materials
    • Kanatani, K. 1979 A micropolar continuum theory for the flow of granular materials. Intl J. Engng Sci. 17, 419.
    • (1979) Intl J. Engng Sci. , vol.17 , pp. 419
    • Kanatani, K.1
  • 35
    • 0000467602 scopus 로고
    • Stability of fluid motion
    • Kelvin, Lord 1887 Stability of fluid motion. Phil. Mag. 24, 188.
    • (1887) Phil. Mag. , vol.24 , pp. 188
    • Kelvin, L.1
  • 36
    • 19644400891 scopus 로고    scopus 로고
    • Anomalous behaviour of the coefficient of normal restitution in oblique impact
    • Kuninaka, H. & Hayakawa, H. 2004 Anomalous behaviour of the coefficient of normal restitution in oblique impact. Phys. Rev. Lett. 93, 154301.
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 154301
    • Kuninaka, H.1    Hayakawa, H.2
  • 37
    • 0033196129 scopus 로고    scopus 로고
    • Cluster growth in freely cooling granular media
    • Luding, S. & Herrmann, H. J. 1999 Cluster growth in freely cooling granular media. Chaos 9, 673.
    • (1999) Chaos , vol.9 , pp. 673
    • Luding, S.1    Herrmann, H.J.2
  • 38
    • 0001386809 scopus 로고    scopus 로고
    • Homogeneous cooling of rough, dissipative particles: Theory and simulations
    • Luding, S., Huthmann, M., McNamara, S. & Zippelius, A. 1998 Homogeneous cooling of rough, dissipative particles: Theory and simulations. Phys. Rev. E 58, 3416.
    • (1998) Phys. Rev. E , vol.58 , pp. 3416
    • Luding, S.1    Huthmann, M.2    McNamara, S.3    Zippelius, A.4
  • 39
    • 12144281707 scopus 로고    scopus 로고
    • Driven granular gases
    • Granular Gas Dynamics (ed. T. Pöschel & N. V. Brilliantov) Springer
    • Luding, S., Cafiero, R. & Herrmann, H. J. 2003 Driven granular gases. In Granular Gas Dynamics (ed. T. Pöschel & N. V. Brilliantov) Lectures Notes in Physics, vol. 624. Springer.
    • (2003) Lectures Notes in Physics , vol.624
    • Luding, S.1    Cafiero, R.2    Herrmann, H.J.3
  • 40
    • 0026392047 scopus 로고
    • Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres
    • Lun, C. K. K. 1991 Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres. J. Fluid Mech. 233, 539.
    • (1991) J. Fluid Mech. , vol.233 , pp. 539
    • Lun, C.K.K.1
  • 41
    • 0028160270 scopus 로고
    • Numerical simulations of inelastic frictional spheres in simple shear flow
    • Lun, C. K. K. & Bent, A. A. 1994 Numerical simulations of inelastic frictional spheres in simple shear flow. J. Fluid Mech. 258, 335.
    • (1994) J. Fluid Mech. , vol.258 , pp. 335
    • Lun, C.K.K.1    Bent, A.A.2
  • 42
    • 84983709074 scopus 로고
    • A simple kinetic theory for granular flow of rough, inelastic, spherical particles
    • Lun, C. K. K. & Savage, S. B. 1987 A simple kinetic theory for granular flow of rough, inelastic, spherical particles. Trans. ASME E: J. Appl. Mech. 54, 47.
    • (1987) Trans. ASME E: J. Appl. Mech. , vol.54 , pp. 47
    • Lun, C.K.K.1    Savage, S.B.2
  • 43
    • 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
  • 44
    • 0000505008 scopus 로고
    • Transport properties of polyatomic fluids. IV. The Kinetic theory of a dense gas of perfectly rough spheres
    • McCoy, B. J., Sandler, S. I. & Dahler, J. S. 1966 Transport properties of polyatomic fluids. IV. The Kinetic theory of a dense gas of perfectly rough spheres. J. Chem. Phys. 45, 3485.
    • (1966) J. Chem. Phys. , vol.45 , pp. 3485
    • McCoy, B.J.1    Sandler, S.I.2    Dahler, J.S.3
  • 45
    • 0027439535 scopus 로고
    • Hydrodynamic modes of a uniform granular medium
    • McNamara, S. 1993 Hydrodynamic modes of a uniform granular medium. Phys. Fluids 5, 3056.
    • (1993) Phys. Fluids , vol.5 , pp. 3056
    • McNamara, S.1
  • 46
    • 0001122756 scopus 로고    scopus 로고
    • Energy non-equipartition in systems of inelastic, rough spheres
    • McNamara, S. & Luding, S. 1998 Energy non-equipartition in systems of inelastic, rough spheres. Phys. Rev. E 58, 2247.
    • (1998) Phys. Rev. E , vol.58 , pp. 2247
    • McNamara, S.1    Luding, S.2
  • 48
  • 49
    • 0037193010 scopus 로고    scopus 로고
    • Collisional granular flow as a micropolar fluid
    • Mitarai, N., Hayakawa, H. & Nakanishi, H. 2002 Collisional granular flow as a micropolar fluid. Phys. Rev. Lett. 88, 174301.
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 174301
    • Mitarai, N.1    Hayakawa, H.2    Nakanishi, H.3
  • 50
    • 0032660715 scopus 로고    scopus 로고
    • Kinetic theory of simple granular shear flows of smooth hard spheres
    • Montanero, J. M., Garzo, V., Santos, A & Brey, J. J. 1999 Kinetic theory of simple granular shear flows of smooth hard spheres. J. Fluid Mech. 389, 391.
    • (1999) J. Fluid Mech. , vol.389 , pp. 391
    • Montanero, J.M.1    Garzo, V.2    Santos, A.3    Brey, J.J.4
  • 51
    • 42749108338 scopus 로고    scopus 로고
    • Role of friction in pattern formation in oscillated granular layers
    • Moon, S. J., Swift, J. B. & Swinney, H. L. 2004 Role of friction in pattern formation in oscillated granular layers. Phys. Rev. E 69, 031301.
    • (2004) Phys. Rev. E , vol.69 , pp. 031301
    • Moon, S.J.1    Swift, J.B.2    Swinney, H.L.3
  • 52
    • 0001684224 scopus 로고    scopus 로고
    • Cahn-Hilliard theory of unstable granular fluids
    • van Noije, T. P. C. & Ernst, E. 2000 Cahn-Hilliard theory of unstable granular fluids. Phys. Rev. E 61, 1765.
    • (2000) Phys. Rev. E , vol.61 , pp. 1765
    • van Noije, T.P.C.1    Ernst, E.2
  • 53
    • 42749104192 scopus 로고    scopus 로고
    • Inherent rheology of a granular fluid in uniform shear flow
    • 061303
    • Santos, A., Garzo, V. & Dufty, J. 2004 Inherent rheology of a granular fluid in uniform shear flow. Phys. Rev. E 69, 061303.
    • (2004) Phys. Rev. E , vol.69
    • Santos, A.1    Garzo, V.2    Dufty, J.3
  • 54
    • 0021295449 scopus 로고
    • The mechanics of rapid granular flows
    • Savage, S. B. 1984 The mechanics of rapid granular flows. Adv. Appl. Mech. 24, 289.
    • (1984) Adv. Appl. Mech. , vol.24 , pp. 289
    • Savage, S.B.1
  • 55
    • 0026806621 scopus 로고
    • Instability of unbounded uniform granular shear flow
    • Savage, S. B. 1992 Instability of unbounded uniform granular shear flow. J. Fluid Mech. 241, 109.
    • (1992) J. Fluid Mech. , vol.241 , pp. 109
    • Savage, S.B.1
  • 57
    • 0028166662 scopus 로고
    • Transient and asymptotic stability of granular shear flow
    • Schmid, P. J. & Kytömaa, H. K. 1994 Transient and asymptotic stability of granular shear flow. J. Fluid Mech. 264, 255.
    • (1994) J. Fluid Mech. , vol.264 , pp. 255
    • Schmid, P.J.1    Kytömaa, H.K.2
  • 58
    • 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
  • 59
    • 0030747526 scopus 로고    scopus 로고
    • Intercluster interactions in rapid granular shear flows
    • Tan, M.-L. & Goldhirsch, I. 1997 Intercluster interactions in rapid granular shear flows. Phys. Fluids A 9, 856.
    • (1997) Phys. Fluids A , vol.9 , pp. 856
    • Tan, M.-L.1    Goldhirsch, I.2
  • 60
    • 36749119623 scopus 로고
    • Kinetic theory of dense polyatomic liquids. II. The rough sphere, rigid ellipsoid, and square-well ellipsoid models
    • Theodosopulu, M. & Dahler, J. S. 1974 Kinetic theory of dense polyatomic liquids. II. The rough sphere, rigid ellipsoid, and square-well ellipsoid models. J. Chem. Phys. 60, 4048.
    • (1974) J. Chem. Phys. , vol.60 , pp. 4048
    • Theodosopulu, M.1    Dahler, J.S.2
  • 61
    • 0030086850 scopus 로고    scopus 로고
    • Stability of bounded rapid shear flows of a granular material
    • Wang, C.-H., Jackson, R. & Sundaresan, S. 1996 Stability of bounded rapid shear flows of a granular material. J. Fluid Mech. 308, 31.
    • (1996) J. Fluid Mech. , vol.308 , pp. 31
    • Wang, C.-H.1    Jackson, R.2    Sundaresan, S.3
  • 62
    • 0001170114 scopus 로고
    • Numerical simulation of inelastic, frictional particle-particle interactions
    • (Ed. M. C. Roco). Butterworth-Heinemann
    • Walton, O. R. 1992 Numerical simulation of inelastic, frictional particle-particle interactions. In Particulate Two-phase Flow (Ed. M. C. Roco). Butterworth-Heinemann.
    • (1992) Particulate Two-phase Flow
    • Walton, O.R.1


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