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Volumn 41, Issue 2, 1997, Pages 399-425

A Smoluchowski theory with simple approximations for hydrodynamic interactions in concentrated dispersions

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EID: 0000259607     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.550873     Document Type: Article
Times cited : (67)

References (61)
  • 1
    • 0017551342 scopus 로고
    • The effect of Brownian motion on the bulk stress in a suspension of spherical particles
    • Batchelor, G. K., "The effect of Brownian motion on the bulk stress in a suspension of spherical particles," J. Fluid Mech. 83, 97-117 (1977).
    • (1977) J. Fluid Mech. , vol.83 , pp. 97-117
    • Batchelor, G.K.1
  • 3
    • 0002560505 scopus 로고
    • The effective viscosity of a concentrated suspension of spheres
    • Beenakker, C. W. J., "The effective viscosity of a concentrated suspension of spheres," Physica A 128, 48-81 (1984).
    • (1984) Physica a , vol.128 , pp. 48-81
    • Beenakker, C.W.J.1
  • 4
    • 48749144415 scopus 로고
    • Self diffusion of spheres in a concentrated suspension
    • Beenakker, C. W. J. and P. Mazur, "Self diffusion of spheres in a concentrated suspension," Physica A 120, 388-410 (1983).
    • (1983) Physica A , vol.120 , pp. 388-410
    • Beenakker, C.W.J.1    Mazur, P.2
  • 5
    • 0642380238 scopus 로고
    • Diffusion of spheres in a concentrated suspension II
    • Beenakker, C. W. J. and P. Mazur, "Diffusion of spheres in a concentrated suspension II," Physica A 126, 349-370 (1984).
    • (1984) Physica A , vol.126 , pp. 349-370
    • Beenakker, C.W.J.1    Mazur, P.2
  • 6
    • 58149323876 scopus 로고
    • Optical measurement of the contributions of colloidal forces to the rheology of concentrated suspensions
    • Bender, J. W. and N. J. Wagner, "Optical measurement of the contributions of colloidal forces to the rheology of concentrated suspensions," J. Colloid Interface Sci 172, 171-184 (1995).
    • (1995) J. Colloid Interface Sci , vol.172 , pp. 171-184
    • Bender, J.W.1    Wagner, N.J.2
  • 7
    • 6644224267 scopus 로고
    • Dynamic simulation of sheared suspensions. I. General method
    • Bossis, G. and J. F. Brady, "Dynamic simulation of sheared suspensions. I. General method," J. Chem. Phys. 80, 5141-5154 (1984).
    • (1984) J. Chem. Phys. , vol.80 , pp. 5141-5154
    • Bossis, G.1    Brady, J.F.2
  • 8
    • 0001056679 scopus 로고
    • Self-diffusion of Brownian particles in concentrated suspensions under shear
    • Bossis, G. and J. F. Brady, "Self-diffusion of Brownian particles in concentrated suspensions under shear," J. Chem. Phys 97, 5437-5448 (1987).
    • (1987) J. Chem. Phys , vol.97 , pp. 5437-5448
    • Bossis, G.1    Brady, J.F.2
  • 9
    • 2242457103 scopus 로고
    • Shear-induced structure in colloidal suspensions I. Numerical simulation
    • Bossis, G., J. F. Brady, and C. Mathis, "Shear-induced structure in colloidal suspensions I. Numerical simulation," J. Colloid Interface Sci. 126, 1-15 (1988).
    • (1988) J. Colloid Interface Sci. , vol.126 , pp. 1-15
    • Bossis, G.1    Brady, J.F.2    Mathis, C.3
  • 10
    • 36449002021 scopus 로고
    • Brownian motion, hydrodynamics, and the osmotic pressure
    • Brady, J. F., "Brownian motion, hydrodynamics, and the osmotic pressure," J. Chem. Phys. 98, 3335-3341 (1993a).
    • (1993) J. Chem. Phys. , vol.98 , pp. 3335-3341
    • Brady, J.F.1
  • 11
    • 0001647254 scopus 로고
    • The rheological behavior of concentrated colloidal dispersions
    • Brady, J. F., "The rheological behavior of concentrated colloidal dispersions," J. Chem. Phys. 99, 567-581 (1993b).
    • (1993) J. Chem. Phys. , vol.99 , pp. 567-581
    • Brady, J.F.1
  • 12
    • 36549092859 scopus 로고
    • Rheology of Brownian suspensions
    • Brady, J. F. and G. Bossis, "Rheology of Brownian suspensions," J. Chem. Phys. 91, 1866-1874 (1989).
    • (1989) J. Chem. Phys. , vol.91 , pp. 1866-1874
    • Brady, J.F.1    Bossis, G.2
  • 13
    • 0001451343 scopus 로고
    • Diffusion coefficients and effective viscosity of suspensions of sticky hard spheres with hydrodynamic interactions
    • Cichocki, B. and B. U. Felderhof, "Diffusion coefficients and effective viscosity of suspensions of sticky hard spheres with hydrodynamic interactions," J. Chem. Phys. 93, 4427-4432 (1990).
    • (1990) J. Chem. Phys. , vol.93 , pp. 4427-4432
    • Cichocki, B.1    Felderhof, B.U.2
  • 14
    • 44949269794 scopus 로고
    • Dynamic computer simulation of concentrated hard sphere suspensions
    • Cichocki, B. and K. Hinsen, "Dynamic computer simulation of concentrated hard sphere suspensions," Physica A 166, 473-491 (1990).
    • (1990) Physica A , vol.166 , pp. 473-491
    • Cichocki, B.1    Hinsen, K.2
  • 15
    • 0347991492 scopus 로고
    • The colloidal many body problem: Colloidal suspensions as hard sphere fluids
    • Plenum, New York
    • Cohen, E. G. D. and I. M. de Schepper, "The colloidal many body problem: Colloidal suspensions as hard sphere fluids," in Recent Progress in Many Body Theories (Plenum, New York, 1992), Vol. 3.
    • (1992) Recent Progress in Many Body Theories , vol.3
    • Cohen, E.G.D.1    De Schepper, I.M.2
  • 16
    • 0001126561 scopus 로고
    • Relaxation dynamics in supercooled liquids
    • Cummins, H. Z., G. Li, W. M. Du, and J. Hernandez, "Relaxation dynamics in supercooled liquids," Physica A 204, 169-201 (1994).
    • (1994) Physica A , vol.204 , pp. 169-201
    • Cummins, H.Z.1    Li, G.2    Du, W.M.3    Hernandez, J.4
  • 17
    • 34547914946 scopus 로고
    • Hard sphere colloidal dispersion: Viscosity as a function of shear rate and volume fraction
    • de Kruif, C. G., E. M. van Iersel, A. Vrij, and W. B. Russel, "Hard sphere colloidal dispersion: viscosity as a function of shear rate and volume fraction," J. Chem. Phys. 83, 4717-4725 (1986).
    • (1986) J. Chem. Phys. , vol.83 , pp. 4717-4725
    • De Kruif, C.G.1    Van Iersel, E.M.2    Vrij, A.3    Russel, W.B.4
  • 19
    • 4243850073 scopus 로고
    • Brownian motion and creeping flow on the smoluchowski time scale
    • Felderhof, B. U., "Brownian motion and creeping flow on the smoluchowski time scale," Physica A 147, 203-218 (1987).
    • (1987) Physica A , vol.147 , pp. 203-218
    • Felderhof, B.U.1
  • 20
    • 4244207038 scopus 로고
    • The contribution of brownian motion to the viscosity of a suspension of spherical particles
    • Felderhof, B. U., "The contribution of brownian motion to the viscosity of a suspension of spherical particles," Physica A 147, 533-543 (1988).
    • (1988) Physica A , vol.147 , pp. 533-543
    • Felderhof, B.U.1
  • 22
    • 4243241923 scopus 로고
    • β relaxation at the glass transition of hard sphere colloids
    • Gotze, W. and L. Sjogren, "β relaxation at the glass transition of hard sphere colloids," Phys. Rev. A 43, 5442-5448 (1991).
    • (1991) Phys. Rev. A , vol.43 , pp. 5442-5448
    • Gotze, W.1    Sjogren, L.2
  • 23
    • 84916823908 scopus 로고
    • Generalized hydrodynamics of systems of interacting brownian particles
    • Hess, W. and R. Klein, "Generalized hydrodynamics of systems of interacting brownian particles," Adv. Phys. 32, 173-283 (1983).
    • (1983) Adv. Phys. , vol.32 , pp. 173-283
    • Hess, W.1    Klein, R.2
  • 24
    • 37049077269 scopus 로고
    • Self diffusion and viscoelasticity of dense hard sphere colloids
    • Heyes, D. M. and P. J. Mitchell, "Self diffusion and viscoelasticity of dense hard sphere colloids," J. Chem. Soc. Faraday Trans. 90, 1913-1940 (1994).
    • (1994) J. Chem. Soc. Faraday Trans. , vol.90 , pp. 1913-1940
    • Heyes, D.M.1    Mitchell, P.J.2
  • 26
    • 0022245329 scopus 로고
    • The resistance and mobility functions of two equal spheres in low reynolds number flow
    • Kim, S. and R. T. Mifflin, "The resistance and mobility functions of two equal spheres in low reynolds number flow," Phys. Fluids 28, 2033-2045 (1985).
    • (1985) Phys. Fluids , vol.28 , pp. 2033-2045
    • Kim, S.1    Mifflin, R.T.2
  • 27
    • 36749109673 scopus 로고
    • Dynamic behavior of silica dispersion studied near the optical matching point
    • Kops-Werkhoven, M. N. and H. M. Fijnaut, "Dynamic behavior of silica dispersion studied near the optical matching point," J. Chem. Phys. 77, 2242-2253 (1982).
    • (1982) J. Chem. Phys. , vol.77 , pp. 2242-2253
    • Kops-Werkhoven, M.N.1    Fijnaut, H.M.2
  • 28
    • 0342921142 scopus 로고
    • Hydrodynamic transport coefficients of random dispersions of hard spheres
    • Ladd, A. J. C., "Hydrodynamic transport coefficients of random dispersions of hard spheres," J. Chem. Phys. 93, 3483-3494 (1990).
    • (1990) J. Chem. Phys. , vol.93 , pp. 3483-3494
    • Ladd, A.J.C.1
  • 30
    • 0028543345 scopus 로고
    • High frequency modulus of hard spheres
    • Lionberger, R. A. and W. B. Russel, "High frequency modulus of hard spheres," J. Rheol. 38, 1885-1908 (1994).
    • (1994) J. Rheol. , vol.38 , pp. 1885-1908
    • Lionberger, R.A.1    Russel, W.B.2
  • 31
    • 0001073634 scopus 로고    scopus 로고
    • Effectiveness of closures for the nonequilibrium forces in colloidal dispersions
    • Lionberger, R. A. and W. B. Russel, "Effectiveness of closures for the nonequilibrium forces in colloidal dispersions," J. Chem. Phys. 106, 402-416 (1997).
    • (1997) J. Chem. Phys. , vol.106 , pp. 402-416
    • Lionberger, R.A.1    Russel, W.B.2
  • 32
    • 84926805355 scopus 로고
    • The bridge function for hard spheres
    • Malijevsky, A. and S. Labik, "The bridge function for hard spheres," Mol. Phys. 60, 663-669 (1987).
    • (1987) Mol. Phys. , vol.60 , pp. 663-669
    • Malijevsky, A.1    Labik, S.2
  • 33
    • 0001705051 scopus 로고
    • Experimental studies on the rheology of hard sphere suspensions near the glass transition
    • Marshall, L. and C. F. Zukoski, "Experimental studies on the rheology of hard sphere suspensions near the glass transition," J. Phys. Chem. 94, 1164-1171 (1990).
    • (1990) J. Phys. Chem. , vol.94 , pp. 1164-1171
    • Marshall, L.1    Zukoski, C.F.2
  • 34
    • 4243591791 scopus 로고
    • Linear viscoelasticity of colloidal hard sphere suspensions near the glass transition
    • Mason, T. G. and D. A. Weitz, "Linear viscoelasticity of colloidal hard sphere suspensions near the glass transition," Phys. Rev. Lett. 75, 2770-2773 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 2770-2773
    • Mason, T.G.1    Weitz, D.A.2
  • 35
    • 0001337961 scopus 로고
    • Long-time self diffusion in concentrated colloidal dispersions
    • Medina-Noyola, M., "Long-time self diffusion in concentrated colloidal dispersions," Phys. Rev. Lett. 60, 2705-2708 (1988).
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 2705-2708
    • Medina-Noyola, M.1
  • 36
    • 0024631479 scopus 로고
    • The rheology of suspension containing polymerically stabilized particles
    • Mewis, J., W. J. Frith, T. A. Strivens, and W. B. Russel, "The rheology of suspension containing polymerically stabilized particles," AIChE J. 35, 415-422 (1989).
    • (1989) AIChE J. , vol.35 , pp. 415-422
    • Mewis, J.1    Frith, W.J.2    Strivens, T.A.3    Russel, W.B.4
  • 37
    • 0342334088 scopus 로고
    • Dynamical properties of stongly interacting Brownian particles I. Dynamic shear viscosity
    • Ohtsuki, T., "Dynamical properties of stongly interacting Brownian particles I. Dynamic shear viscosity," Physica A 108A, 441-458 (1981).
    • (1981) Physica A , vol.108 A , pp. 441-458
    • Ohtsuki, T.1
  • 38
    • 49049139556 scopus 로고
    • Dynamical properties of stongly interacting Brownian particles II. Self diffusion
    • Ohtsuki, T., "Dynamical properties of stongly interacting Brownian particles II. Self diffusion," Physica A 109A, 606-616 (1982).
    • (1982) Physica A , vol.109 A , pp. 606-616
    • Ohtsuki, T.1
  • 39
    • 0001589914 scopus 로고
    • Study of particle motion in concentrated suspensions by tracer diffusion
    • Ottewill, R. H. and N. S. J. Williams, "Study of particle motion in concentrated suspensions by tracer diffusion," Nature 325, 232-234 (1987).
    • (1987) Nature , vol.325 , pp. 232-234
    • Ottewill, R.H.1    Williams, N.S.J.2
  • 40
    • 0028441139 scopus 로고
    • Viscoelastic behavior of concentrated spherical suspensions
    • Pearson, D. S. and T. Shikata, "Viscoelastic behavior of concentrated spherical suspensions," J. Rheol. 38, 601-616 (1994).
    • (1994) J. Rheol. , vol.38 , pp. 601-616
    • Pearson, D.S.1    Shikata, T.2
  • 41
    • 0000350012 scopus 로고    scopus 로고
    • Phase transition, equation of state, and limiting shear viscosities of hard sphere dispersions
    • Phan, S., W. B. Russel, Z. Cheng, J. Zhu, P. Chaikin, J. Dunsmuir, and R. Ottewill, "Phase transition, equation of state, and limiting shear viscosities of hard sphere dispersions," Phys. Rev. E 54, 6633-6645 (1996).
    • (1996) Phys. Rev. E , vol.54 , pp. 6633-6645
    • Phan, S.1    Russel, W.B.2    Cheng, Z.3    Zhu, J.4    Chaikin, P.5    Dunsmuir, J.6    Ottewill, R.7
  • 42
    • 0001534927 scopus 로고
    • Hydrodynamic transport properties of hard sphere dispersions
    • Phillips, R. J., J. F. Brady, and G. Bossis, "Hydrodynamic transport properties of hard sphere dispersions," Phys. Fluids 31, 3462-3472 (1988).
    • (1988) Phys. Fluids , vol.31 , pp. 3462-3472
    • Phillips, R.J.1    Brady, J.F.2    Bossis, G.3
  • 44
    • 0002934557 scopus 로고
    • Analogies between the dynamics of concentrated charged colloidal suspensions and dense atomic liquids
    • Pusey, P. N., H. N. W. Lekkerkerker, E. G. D. Cohen, and I. M. de Schepper, "Analogies between the dynamics of concentrated charged colloidal suspensions and dense atomic liquids,"Physica A 164, 12-27 (1990).
    • (1990) Physica A , vol.164 , pp. 12-27
    • Pusey, P.N.1    Lekkerkerker, H.N.W.2    Cohen, E.G.D.3    De Schepper, I.M.4
  • 45
    • 0000651465 scopus 로고
    • Nonequilibrium statistical mechanics of concentrated colloidal dispersions: Hard spheres in weak flows
    • Russel, W. B. and A. P. Gast, "Nonequilibrium statistical mechanics of concentrated colloidal dispersions: Hard spheres in weak flows," J. Chem. Phys. 84, 1815-1826 (1986).
    • (1986) J. Chem. Phys. , vol.84 , pp. 1815-1826
    • Russel, W.B.1    Gast, A.P.2
  • 47
    • 0004647259 scopus 로고
    • Two approximations for the classical triplet distribution function
    • Scherwinski, K., "Two approximations for the classical triplet distribution function," Mol. Phys. 70, 797-809 (1990).
    • (1990) Mol. Phys. , vol.70 , pp. 797-809
    • Scherwinski, K.1
  • 48
    • 0001505006 scopus 로고
    • Viscosity and structural relaxation in suspensions of hard sphere colloids
    • Segré, P. N., S. P. Meeker, P. N. Pusey, and W. C. K. Poon, "Viscosity and structural relaxation in suspensions of hard sphere colloids," Phys. Rev. Lett. 75, 958-961 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 958-961
    • Segré, P.N.1    Meeker, S.P.2    Pusey, P.N.3    Poon, W.C.K.4
  • 49
    • 0001808747 scopus 로고
    • On the theory of concentrated hard-sphere suspensions
    • Tokuyama, M. and I. Oppenheim, "On the theory of concentrated hard-sphere suspensions," Physica A 216, 85-119 (1995).
    • (1995) Physica A , vol.216 , pp. 85-119
    • Tokuyama, M.1    Oppenheim, I.2
  • 50
    • 33847250847 scopus 로고
    • Long-time self-diffusion of spherical colloidal particles measured with fluorescence recovery after photobleaching
    • van Blaaderen, A., J. Peetermans, G. Maret, and J. K. G. Dhont, "Long-time self-diffusion of spherical colloidal particles measured with fluorescence recovery after photobleaching," J. Chem. Phys. 96, 4591-4603 (1992).
    • (1992) J. Chem. Phys. , vol.96 , pp. 4591-4603
    • Van Blaaderen, A.1    Peetermans, J.2    Maret, G.3    Dhont, J.K.G.4
  • 51
    • 0024639670 scopus 로고
    • Hard sphere colloidal dispersion: The scaling of rheological properties with particle size shear rate and volume fraction
    • van der Werff, J. C. and C. G. Kruif, "Hard sphere colloidal dispersion: the scaling of rheological properties with particle size shear rate and volume fraction," J. Rheol. 33, 421-454 (1989).
    • (1989) J. Rheol. , vol.33 , pp. 421-454
    • Van Der Werff, J.C.1    Kruif, C.G.2
  • 52
    • 36549098219 scopus 로고
    • Tracer diffusion in concentrated dispersion. III. Mean squared displacement and self-diffusion coefficients
    • van Megen, W. and S. M. Underwood, "Tracer diffusion in concentrated dispersion. III. Mean squared displacement and self-diffusion coefficients," J. Chem. Phys. 91, 552-559 (1989).
    • (1989) J. Chem. Phys. , vol.91 , pp. 552-559
    • Van Megen, W.1    Underwood, S.M.2
  • 53
    • 0142135553 scopus 로고
    • Glass transition in colloidal hard spheres: Mode coupling theory analysis
    • van Megen, W. and S. M. Underwood, "Glass transition in colloidal hard spheres: Mode coupling theory analysis," Phys. Rev. Lett. 70, 2766-2769 (1993).
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 2766-2769
    • Van Megen, W.1    Underwood, S.M.2
  • 54
    • 0001028464 scopus 로고
    • Tracer diffusion in concentrated dispersion
    • van Megen, W., S. M. Underwood, and I. Snook, "Tracer diffusion in concentrated dispersion," J. Chem. Phys. 85, 4065-4072 (1986).
    • (1986) J. Chem. Phys. , vol.85 , pp. 4065-4072
    • Van Megen, W.1    Underwood, S.M.2    Snook, I.3
  • 55
    • 0141803181 scopus 로고
    • Non-gaussian behavior of the displacement statistics of interacting colloidal particles
    • van Veluwen, A. and H. N. W. Lekkerkerker, "Non-gaussian behavior of the displacement statistics of interacting colloidal particles," Phys. Rev. A 38, 375-3763 (1988).
    • (1988) Phys. Rev. A , vol.38 , pp. 375-3763
    • Van Veluwen, A.1    Lekkerkerker, H.N.W.2
  • 56
    • 30244472523 scopus 로고
    • The theory of simple liquids
    • Verlet, L. and J. J. Weiss, "The theory of simple liquids," Phys. Rev. A 5, 939-952 (1972).
    • (1972) Phys. Rev. A , vol.5 , pp. 939-952
    • Verlet, L.1    Weiss, J.J.2
  • 57
    • 0000222876 scopus 로고
    • The high-frequency shear modulus of colloidal suspensions and the effect of hydrodynamic interactions
    • Wagner, N. J., "The high-frequency shear modulus of colloidal suspensions and the effect of hydrodynamic interactions," J. Colloid Interface Sci. 161, 169-181 (1994a).
    • (1994) J. Colloid Interface Sci. , vol.161 , pp. 169-181
    • Wagner, N.J.1
  • 58
    • 0001049377 scopus 로고
    • A self-consistent solution for the generalized hydrodynamics model of suspension dynamics; comparison of theory with rheological and optical measurements
    • Wagner, N. J., "A self-consistent solution for the generalized hydrodynamics model of suspension dynamics; comparison of theory with rheological and optical measurements," Phys. Rev. E 49, 376-401 (1994b).
    • (1994) Phys. Rev. E , vol.49 , pp. 376-401
    • Wagner, N.J.1
  • 59
    • 0026137140 scopus 로고
    • The rheology and microstructure of charged colloidal suspensions
    • Wagner, N. J. and R. Klein, "The rheology and microstructure of charged colloidal suspensions," Colloid Polym. Sci. 269, 295-319 (1991).
    • (1991) Colloid Polym. Sci. , vol.269 , pp. 295-319
    • Wagner, N.J.1    Klein, R.2
  • 60
    • 45149143456 scopus 로고
    • Nonequilibrium statistical mechanics of concentrated colloidal dispersions: Hard spheres in weak flows with many-body thermodynamic interactions
    • Wagner, N. J. and W. B. Russel, "Nonequilibrium statistical mechanics of concentrated colloidal dispersions: Hard spheres in weak flows with many-body thermodynamic interactions," Physica A 155, 475-518 (1989).
    • (1989) Physica A , vol.155 , pp. 475-518
    • Wagner, N.J.1    Russel, W.B.2
  • 61
    • 0001029699 scopus 로고
    • Light scattering measurements of a hard sphere suspension under shear
    • Wagner, N. J. and W. B. Russel, "Light scattering measurements of a hard sphere suspension under shear," Phys. Fluids A 2, 491-502 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 491-502
    • Wagner, N.J.1    Russel, W.B.2


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