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Volumn 568, Issue , 2006, Pages 1-17

A dissipative anisotropic fluid model for non-colloidal particle dispersions

Author keywords

[No Author keywords available]

Indexed keywords

GRANULAR MATERIALS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; RHEOLOGY; SUSPENSIONS (FLUIDS); TENSORS; VISCOPLASTICITY; VISCOSITY;

EID: 33751067310     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006002333     Document Type: Article
Times cited : (60)

References (45)
  • 1
    • 0026808133 scopus 로고
    • Longitudinal shear-induced diffusion of spheres in a dilute suspension
    • Acrivos, A., Batchelor, G. K., Hinch, E. J., Koch, D. L. & Mauri, R. 1992 Longitudinal shear-induced diffusion of spheres in a dilute suspension. J. Fluid Mech. 240, 651-657.
    • (1992) J. Fluid Mech. , vol.240 , pp. 651-657
    • Acrivos, A.1    Batchelor, G.K.2    Hinch, E.J.3    Koch, D.L.4    Mauri, R.5
  • 2
    • 0015570216 scopus 로고
    • The rheology of suspensions and its relation to phenomenological theories for non-Newtonian fluids
    • Barthès-Biesel, D. & Acrivos, A. 1973 The rheology of suspensions and its relation to phenomenological theories for non-Newtonian fluids. Intl J. Multiphase Flow 1, 1-24.
    • (1973) Intl J. Multiphase Flow , vol.1 , pp. 1-24
    • Barthès-Biesel, D.1    Acrivos, A.2
  • 3
    • 0014767108 scopus 로고
    • The stress system in a suspension of force-free particles
    • Batchelor, G. K. 1970 The stress system in a suspension of force-free particles. J. Fluid Mech. 41, 545-570.
    • (1970) J. Fluid Mech. , vol.41 , pp. 545-570
    • Batchelor, G.K.1
  • 5
    • 6644224267 scopus 로고
    • Dynamic simulation of sheared suspensions. I. General method
    • Bossis, G. & Brady, J. F. 1984 Dynamic simulation of sheared suspensions. I. General method. J. Chem. Phys. 80, 5141-5154.
    • (1984) J. Chem. Phys. , vol.80 , pp. 5141-5154
    • Bossis, G.1    Brady, J.F.2
  • 6
    • 0031246912 scopus 로고    scopus 로고
    • Microstructure of strongly sheared suspensions and its impact on rheology and diffusion
    • Brady, J. F. & Morris, J. F. 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.F.2
  • 7
    • 0015110891 scopus 로고
    • Theory of induced birefringence in materials with memory
    • Coleman, B. D. & Dill, E. H. 1971 Theory of induced birefringence in materials with memory. J. Mech. Phys. Solids 19, 215-243.
    • (1971) J. Mech. Phys. Solids , vol.19 , pp. 215-243
    • Coleman, B.D.1    Dill, E.H.2
  • 8
    • 0000906473 scopus 로고
    • Foundations of linear viscoelasticity
    • Coleman, B. D. & Noll, W. 1961 Foundations of linear viscoelasticity. Rev. Mod. Phys. 33, 239-249.
    • (1961) Rev. Mod. Phys. , vol.33 , pp. 239-249
    • Coleman, B.D.1    Noll, W.2
  • 9
    • 0022097744 scopus 로고
    • The relationship between the elasticity tensor and the fabric tensor
    • Cowin, S. C. 1985 The relationship between the elasticity tensor and the fabric tensor. Mech. Materials 4, 137-147.
    • (1985) Mech. Materials , vol.4 , pp. 137-147
    • Cowin, S.C.1
  • 11
    • 0037054630 scopus 로고    scopus 로고
    • Deterministic and stochastic behaviour of non-Brownian spheres in sheared suspensions
    • Drazer, G., Koplik, J., Khusid, B. & Acrivos, A. 2002 Deterministic and stochastic behaviour of non-Brownian spheres in sheared suspensions. J. Fluid Mech. 460, 307-335.
    • (2002) J. Fluid Mech. , vol.460 , pp. 307-335
    • Drazer, G.1    Koplik, J.2    Khusid, B.3    Acrivos, A.4
  • 12
    • 3843052765 scopus 로고    scopus 로고
    • Microstructure and velocity fluctuations in sheared suspensions
    • Drazer, G., Koplik, J., Khusid, B. & Acrivos, A. 2004 Microstructure and velocity fluctuations in sheared suspensions. J. Fluid Mech. 511, 237-263.
    • (2004) J. Fluid Mech. , vol.511 , pp. 237-263
    • Drazer, G.1    Koplik, J.2    Khusid, B.3    Acrivos, A.4
  • 14
    • 0019283709 scopus 로고
    • Shear-induced structure in a concentrated suspension of solid spheres
    • Gadala-Maria, F. & Acrivos, A. 1980 Shear-induced structure in a concentrated suspension of solid spheres. J. Rheol. 24, 799-814.
    • (1980) J. Rheol. , vol.24 , pp. 799-814
    • Gadala-Maria, F.1    Acrivos, A.2
  • 15
    • 33751069429 scopus 로고
    • A modified functional expansion for viscoelastic fluids
    • Goddard, J. D. 1967 A modified functional expansion for viscoelastic fluids. J. Rheol. 11, 381-399.
    • (1967) J. Rheol. , vol.11 , pp. 381-399
    • Goddard, J.D.1
  • 16
    • 0020165644 scopus 로고
    • Memory materials without characteristic time and their relation to the rheology of certain particle suspensions
    • Goddard, J. D. 1982 Memory materials without characteristic time and their relation to the rheology of certain particle suspensions. Adv. Colloid Interface Sci. 17, 241-262.
    • (1982) Adv. Colloid Interface Sci. , vol.17 , pp. 241-262
    • Goddard, J.D.1
  • 17
    • 0021202680 scopus 로고
    • Dissipative materials as models of thixotropy and plasticity
    • Goddard, J. D. 1984 Dissipative materials as models of thixotropy and plasticity. J. Non-Newtonian Fluid Mech. 14, 141-160.
    • (1984) J. Non-Newtonian Fluid Mech , vol.14 , pp. 141-160
    • Goddard, J.D.1
  • 18
    • 0022153035 scopus 로고    scopus 로고
    • Dissipative materials as constitutive models for granular materials
    • Goddard, J. D. 1996 Dissipative materials as constitutive models for granular materials. Acta Mech. 63, 3-13.
    • (1996) Acta Mech. , vol.63 , pp. 3-13
    • Goddard, J.D.1
  • 19
    • 0008237541 scopus 로고    scopus 로고
    • Continuum modeling of granular assemblies
    • In (ed. H. J. Herrmann, J.-P. Hovi & S. Luding) Kluwer
    • Goddard, J. D. 1998 Continuum modeling of granular assemblies. In NATO ASI, Physics of Dry Granular Media (ed. H. J. Herrmann, J.-P. Hovi & S. Luding), pp. 1-24. Kluwer.
    • (1998) NATO ASI, Physics of Dry Granular Media , pp. 1-24
    • Goddard, J.D.1
  • 20
    • 84958429237 scopus 로고
    • A theory of anisotropic fluids
    • Hand, G. L. 1962 A theory of anisotropic fluids. J. Fluid Mech. 13, 33-46.
    • (1962) J. Fluid Mech. , vol.13 , pp. 33-46
    • Hand, G.L.1
  • 21
    • 0016565323 scopus 로고
    • Constitutive equations in suspension mechanics. I. General formulation
    • Hinch, E. J. & Leal, L. G. 1975 Constitutive equations in suspension mechanics. I. General formulation. J. Fluid Mech. 71, 481-95.
    • (1975) J. Fluid Mech , vol.71 , pp. 481-495
    • Hinch, E.J.1    Leal, L.G.2
  • 23
    • 0023166270 scopus 로고
    • Anisotropic particle distribution in dilute suspensions of solid spheres in cylindrical Couette flow
    • Husband, D. M. & Gadala-Maria, F. 1987 Anisotropic particle distribution in dilute suspensions of solid spheres in cylindrical Couette flow. J. Rheol. 31, 95-110.
    • (1987) J. Rheol. , vol.31 , pp. 95-110
    • Husband, D.M.1    Gadala-Maria, F.2
  • 24
    • 0033579248 scopus 로고    scopus 로고
    • Statistics of a filtered telegraph signal
    • Jakeman, E. & Ridley, K. D. 1999 Statistics of a filtered telegraph signal. J. Phys. A 32, 8803-8821.
    • (1999) J. Phys. A , vol.32 , pp. 8803-8821
    • Jakeman, E.1    Ridley, K.D.2
  • 25
    • 27744551809 scopus 로고    scopus 로고
    • Crucial role of sidewalls in granular surface flows: Consequences for the rheology
    • Jop, P., Forterre, Y. & Pouliquen, O. 2005 Crucial role of sidewalls in granular surface flows: Consequences for the rheology. J. Fluid Mech. 541, 167-192.
    • (2005) J. Fluid Mech. , vol.541 , pp. 167-192
    • Jop, P.1    Forterre, Y.2    Pouliquen, O.3
  • 26
    • 0021212686 scopus 로고
    • Distribution of directional data and fabric tensors
    • Kanatani, K.-I. 1984 Distribution of directional data and fabric tensors. Intl J. Engng Sci. 22, 149-164.
    • (1984) Intl J. Engng Sci. , vol.22 , pp. 149-164
    • Kanatani, K.-I.1
  • 27
    • 0036256062 scopus 로고    scopus 로고
    • Transient normal stress response in a concentrated suspension of spherical particles
    • Kolli, V. G., Pollauf, E. J. & Gadala-Maria, F. 2002 Transient normal stress response in a concentrated suspension of spherical particles. J. Rheol. 46, 321-334.
    • (2002) J. Rheol. , vol.46 , pp. 321-334
    • Kolli, V.G.1    Pollauf, E.J.2    Gadala-Maria, F.3
  • 30
    • 0023330292 scopus 로고
    • Measurement of shear-induced self-diffusion in concentrated suspensions of spheres
    • Leighton, D. & Acrivos, A. 1987 Measurement of shear-induced self-diffusion in concentrated suspensions of spheres. J. Fluid Mech. 177, 109-131.
    • (1987) J. Fluid Mech. , vol.177 , pp. 109-131
    • Leighton, D.1    Acrivos, A.2
  • 31
    • 0030111507 scopus 로고    scopus 로고
    • Self-diffusion in sheared suspensions
    • Morris, J. F. & Brady, J. F. 1996 Self-diffusion in sheared suspensions. J. Fluid Mech. 312, 223-252.
    • (1996) J. Fluid Mech. , vol.312 , pp. 223-252
    • Morris, J.F.1    Brady, J.F.2
  • 32
    • 0036612278 scopus 로고    scopus 로고
    • Microstructure from simulated Brownian suspension flows at large shear rate
    • Morris, J. F. & Katyal, B. 2002 Microstructure from simulated Brownian suspension flows at large shear rate. Phy. Fluids 14, 1920-1937.
    • (2002) Phy. Fluids , vol.14 , pp. 1920-1937
    • Morris, J.F.1    Katyal, B.2
  • 33
    • 0346319021 scopus 로고
    • New mathematical theory of simple materials
    • Noll, W. 1972 New mathematical theory of simple materials. Arch. Rat. Mech. Anal. 48, 1-50.
    • (1972) Arch. Rat. Mech. Anal. , vol.48 , pp. 1-50
    • Noll, W.1
  • 34
    • 0021641959 scopus 로고
    • Effective viscosity of a periodic suspension
    • Nunan, K. C. & Keller, J. B. 1984 Effective viscosity of a periodic suspension. J. Fluid Mech. 142, 269-287.
    • (1984) J. Fluid Mech. , vol.142 , pp. 269-287
    • Nunan, K.C.1    Keller, J.B.2
  • 35
    • 80052466354 scopus 로고
    • Fore-and-aft asymmetry in a concentrated suspension of solid spheres
    • Parsi, F. & Gadala-Maria, F. 1987 Fore-and-aft asymmetry in a concentrated suspension of solid spheres. J. Rheol. 31, 725-732.
    • (1987) J. Rheol. , vol.31 , pp. 725-732
    • Parsi, F.1    Gadala-Maria, F.2
  • 36
    • 0000993406 scopus 로고
    • Constitutive equation for concentrated suspensions in Newtonian liquids
    • Phan-Thien, N. 1995 Constitutive equation for concentrated suspensions in Newtonian liquids. J. Rheol. 39, 679-695.
    • (1995) J. Rheol. , vol.39 , pp. 679-695
    • Phan-Thien, N.1
  • 37
    • 33751025350 scopus 로고    scopus 로고
    • Granulence
    • In (ed. R. García-Rojo, H. Herrmann & S. McNamara) Balkema
    • Radjai, F. & Roux, S. 2005 Granulence. In Powders and Grains 2005 (ed. R. García-Rojo, H. Herrmann & S. McNamara), vol. 1, pp. 193-196. Balkema.
    • (2005) Powders and Grains 2005 , vol.1 , pp. 193-196
    • Radjai, F.1    Roux, S.2
  • 38
    • 0001526377 scopus 로고
    • Further remarks on the stress-deformation relations for isotropic materials
    • Rivlin, R. 1955 Further remarks on the stress-deformation relations for isotropic materials. J. Rat. Mech. Anal. 4, 681-702.
    • (1955) J. Rat. Mech. Anal. , vol.4 , pp. 681-702
    • Rivlin, R.1
  • 39
    • 0036732502 scopus 로고    scopus 로고
    • Rheology and microstructure in concentrated noncolloidal suspensions
    • Sierou, A. & Brady, J. F. 2002 Rheology and microstructure in concentrated noncolloidal suspensions. J. Rheol. 46, 1031-1056.
    • (2002) J. Rheol. , vol.46 , pp. 1031-1056
    • Sierou, A.1    Brady, J.F.2
  • 40
    • 0141787970 scopus 로고    scopus 로고
    • Experimental measurements of the normal stresses in sheared Stokesian suspensions
    • Singh, A. & Nott, P. R. 2003 Experimental measurements of the normal stresses in sheared Stokesian suspensions. J. Fluid Mech. 490, 293-320.
    • (2003) J. Fluid Mech. , vol.490 , pp. 293-320
    • Singh, A.1    Nott, P.R.2
  • 41
    • 14544306929 scopus 로고    scopus 로고
    • Fluid mechanics and rheology of dense suspensions
    • Stickel, J. J. & Powell, R. L. 2005 Fluid mechanics and rheology of dense suspensions. Annu. Rev. Fluid Mech. 37, 129-149.
    • (2005) Annu. Rev. Fluid Mech. , vol.37 , pp. 129-149
    • Stickel, J.J.1    Powell, R.L.2
  • 42
    • 0028387262 scopus 로고
    • A new computational method for the solution of flow problems of microstructured fluids. II. Inhomogeneous shear flow of a suspension
    • Szeri, A. J. & Leal, L. G. 1994 A new computational method for the solution of flow problems of microstructured fluids. II. Inhomogeneous shear flow of a suspension. J. Fluid Mech. 262, 171-204.
    • (1994) J. Fluid Mech. , vol.262 , pp. 171-204
    • Szeri, A.J.1    Leal, L.G.2
  • 43
    • 0002565890 scopus 로고
    • The non-linear field theories of mechanics
    • In (ed. S. Flügge) Springer
    • Truesdell, C. & Noll, W. 1965 The non-linear field theories of mechanics. In Handbuch der Physik (ed. S. Flügge), vol. 3/3. Springer.
    • (1965) Handbuch Der Physik , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 44
    • 45849155845 scopus 로고    scopus 로고
    • Slowly sheared dense granular flows: Crystallization and nonunique final states
    • 031303
    • Tsai, J. C. & Gollub, J. P. 2004 Slowly sheared dense granular flows: crystallization and nonunique final states. Phys. Rev. E 70, 031303/1-13.
    • (2004) Phys. Rev. E , vol.70 , pp. 1-13
    • Tsai, J.C.1    Gollub, J.P.2
  • 45
    • 0000290178 scopus 로고    scopus 로고
    • The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids
    • Zarraga, I. E., Hill, D. A. & Leighton, D. T., J. 2000 The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids. J. Rheol. 44, 185-220.
    • (2000) J. Rheol. , vol.44 , pp. 185-220
    • Zarraga, I.E.1    Hill, D.A.2    Leighton, D.T.J.3


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