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Volumn 124, Issue 3, 1998, Pages 301-310

Rheological equations in asymptotic regimes of granular flow

Author keywords

[No Author keywords available]

Indexed keywords

GRANULAR SOLID; RHEOLOGY; SOLID FLOW;

EID: 0031925825     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1998)124:3(301)     Document Type: Article
Times cited : (15)

References (84)
  • 1
    • 0025376848 scopus 로고
    • Simple kinetic model for rapid granular flows including fractional losses
    • ASCE
    • Abu-Zaid, S., and Ahmadi, G. (1990). "Simple kinetic model for rapid granular flows including fractional losses." J. Engrg. Mech., ASCE, 116(2), 379-389.
    • (1990) J. Engrg. Mech. , vol.116 , Issue.2 , pp. 379-389
    • Abu-Zaid, S.1    Ahmadi, G.2
  • 2
    • 0024673664 scopus 로고
    • Simple mean free path theory for stresses in a rapid granular flow
    • ASCE
    • Babic, M., and Shen, H. H. (1989). "Simple mean free path theory for stresses in a rapid granular flow." J. Engrg. Mech., ASCE, 115(6), 1262-1282.
    • (1989) J. Engrg. Mech. , vol.115 , Issue.6 , pp. 1262-1282
    • Babic, M.1    Shen, H.H.2
  • 3
    • 0002902651 scopus 로고
    • Experiments on a gravity free dispersion of large solid spheres in a Newtonian fluid under shear
    • Bagnold, R. A. (1954). "Experiments on a gravity free dispersion of large solid spheres in a Newtonian fluid under shear." Proc. Royal Soc. of London, Serial A (225), 49-63.
    • (1954) Proc. Royal Soc. of London, Serial A , Issue.225 , pp. 49-63
    • Bagnold, R.A.1
  • 5
    • 0017551342 scopus 로고
    • The effect of Brownian motion on the bulk stress in a suspension of spherical particles
    • Batchelor, G. K. (1977). "The effect of Brownian motion on the bulk stress in a suspension of spherical particles." J. Fluid Mech., 83, 97-117.
    • (1977) J. Fluid Mech. , vol.83 , pp. 97-117
    • Batchelor, G.K.1
  • 6
    • 0342936958 scopus 로고
    • PhD thesis, California Inst. of Technol., Pasadena, Calif.
    • Campbell, C. S. (1982). "Shear flows of granular materials," PhD thesis, California Inst. of Technol., Pasadena, Calif.
    • (1982) Shear Flows of Granular Materials
    • Campbell, C.S.1
  • 7
    • 0024855805 scopus 로고
    • The stress tensor for simple shear flows of a granular material
    • Campbell, C. S. (1989). "The stress tensor for simple shear flows of a granular material." J. Fluid Mech., 203, 449-473.
    • (1989) J. Fluid Mech. , vol.203 , pp. 449-473
    • Campbell, C.S.1
  • 9
    • 0022026421 scopus 로고
    • Chute flows of granular material: Some computer simulations
    • Campbell, C. S., and Brennen, C. E. (1985a). "Chute flows of granular material: Some computer simulations." J. Appl. Mech., 52(1), 172-178.
    • (1985) J. Appl. Mech. , vol.52 , Issue.1 , pp. 172-178
    • Campbell, C.S.1    Brennen, C.E.2
  • 10
    • 0022164741 scopus 로고
    • Computer simulation of granular shear flows
    • Campbell, C. S., and Brennen, C. E. (1985b). "Computer simulation of granular shear flows." J. Fluid Mech., 151, 167-188.
    • (1985) J. Fluid Mech. , vol.151 , pp. 167-188
    • Campbell, C.S.1    Brennen, C.E.2
  • 11
    • 0022678361 scopus 로고
    • The stress tensor in a two-dimensional granular shear flow
    • Campbell, C. S., and Gong, A. (1986). "The stress tensor in a two-dimensional granular shear flow." J. Fluid Mech., 164, 107-125.
    • (1986) J. Fluid Mech. , vol.164 , pp. 107-125
    • Campbell, C.S.1    Gong, A.2
  • 12
    • 0001117617 scopus 로고
    • Equations of state for non-attracting rigid spheres
    • Carnahan, N. F., and Starling, K. E. (1969). "Equations of state for non-attracting rigid spheres." J. Chemical Phys., 51, 635-636.
    • (1969) J. Chemical Phys. , vol.51 , pp. 635-636
    • Carnahan, N.F.1    Starling, K.E.2
  • 14
    • 85040884500 scopus 로고
    • Bingham plastic or Bagnold's dilatant fluid as a rheological model of debris flow?
    • Chen, C. L. (1986a). "Bingham plastic or Bagnold's dilatant fluid as a rheological model of debris flow?" Proc., 3rd Int. Symp. on River Sedimentation, 1624-1636.
    • (1986) Proc., 3rd Int. Symp. on River Sedimentation , pp. 1624-1636
    • Chen, C.L.1
  • 15
    • 85040882302 scopus 로고
    • Chinese concepts of modeling hyperconcentrated streamflow and debris flow
    • Chen, C. L. (1986b). "Chinese concepts of modeling hyperconcentrated streamflow and debris flow." Proc., 3rd Int. Symp. on River Sedimentation, 1647-1657.
    • (1986) Proc., 3rd Int. Symp. on River Sedimentation , pp. 1647-1657
    • Chen, C.L.1
  • 16
    • 0030321977 scopus 로고    scopus 로고
    • Granular-flow rheology: Role of shear-rate number in transition regime
    • ASCE
    • Chen, C. L., and Ling, C. H. (1996). "Granular-flow rheology: Role of shear-rate number in transition regime." J. Engrg. Mech., ASCE, 122(5), 469-480.
    • (1996) J. Engrg. Mech. , vol.122 , Issue.5 , pp. 469-480
    • Chen, C.L.1    Ling, C.H.2
  • 18
    • 0002457421 scopus 로고
    • Viscosity of suspensions of electrically charged particles and solutions of polymeric electrolytes
    • F. R. Eirich, ed., Academic Press, New York, N.Y.
    • Conway, B. E., and Dobry-Duclaux, A. (1960). "Viscosity of suspensions of electrically charged particles and solutions of polymeric electrolytes." Rheology, Vol. 3, F. R. Eirich, ed., Academic Press, New York, N.Y.
    • (1960) Rheology , vol.3
    • Conway, B.E.1    Dobry-Duclaux, A.2
  • 20
    • 34547914946 scopus 로고
    • Hard sphere colloidal dispersions: Viscosity as a function of shear rate and volume fraction
    • de Kruif, C. G., van lersel, E. M. K, Vrij, A., and Russel, W. B. (1985). "Hard sphere colloidal dispersions: Viscosity as a function of shear rate and volume fraction." J. Chemical Phys., 83(9), 4717-4725.
    • (1985) J. Chemical Phys. , vol.83 , Issue.9 , pp. 4717-4725
    • De Kruif, C.G.1    Van Lersel, E.M.K.2    Vrij, A.3    Russel, W.B.4
  • 21
    • 0344225780 scopus 로고
    • Die viskositat von emulsionen hochviskoser Stoffe als funktion der konzentration
    • in German
    • Eilers, V. H. (1941). "Die viskositat von emulsionen hochviskoser Stoffe als funktion der konzentration." Kolliod-Zeitschrift, 97, 313-321 (in German).
    • (1941) Kolliod-Zeitschrift , vol.97 , pp. 313-321
    • Eilers, V.H.1
  • 22
    • 0003195691 scopus 로고
    • A new determination of molecular dimensions
    • Einstein, A. (1906). "A new determination of molecular dimensions." Annalen der Physik, 19, 289-306.
    • (1906) Annalen der Physik , vol.19 , pp. 289-306
    • Einstein, A.1
  • 23
    • 0000108565 scopus 로고
    • Corrections to 'A new determination of molecular dimensions,' by A. Einstein
    • Einstein, A. (1911). "Corrections to 'A new determination of molecular dimensions,' by A. Einstein." Annalen der Physik, 34, 591-592.
    • (1911) Annalen der Physik , vol.34 , pp. 591-592
    • Einstein, A.1
  • 25
    • 11344256201 scopus 로고
    • Viscosities of polymer solutions
    • Flory, P. J. (1942). "Viscosities of polymer solutions." J. Phys. Chem., 46(8), 870-877.
    • (1942) J. Phys. Chem. , vol.46 , Issue.8 , pp. 870-877
    • Flory, P.J.1
  • 27
    • 49949140804 scopus 로고
    • On the viscosity of a concentrated suspension of solid spheres
    • Frankel, N. A., and Acrivos, A. (1967). "On the viscosity of a concentrated suspension of solid spheres." Chemical Engrg. Sci., 22, 847-853.
    • (1967) Chemical Engrg. Sci. , vol.22 , pp. 847-853
    • Frankel, N.A.1    Acrivos, A.2
  • 28
    • 11344284649 scopus 로고
    • A kinetic interpretation of the rheological behavior of high polymers
    • Furakawa, J. (1955). "A kinetic interpretation of the rheological behavior of high polymers." J. Polymer Sci., 15(79), 193-202.
    • (1955) J. Polymer Sci. , vol.15 , Issue.79 , pp. 193-202
    • Furakawa, J.1
  • 29
    • 0000387510 scopus 로고
    • Statistical geometrical approach to random packing density of equal spheres
    • Gotoh, K., and Finney, J. L. (1974). "Statistical geometrical approach to random packing density of equal spheres." Nature, 252, 202-205.
    • (1974) Nature , vol.252 , pp. 202-205
    • Gotoh, K.1    Finney, J.L.2
  • 30
    • 0642350836 scopus 로고
    • Variation on van der Waals' equation of state for high densities
    • Guggenheim, E. A. (1965). "Variation on van der Waals' equation of state for high densities." Molecular Phys., 9(2), 199-200.
    • (1965) Molecular Phys. , vol.9 , Issue.2 , pp. 199-200
    • Guggenheim, E.A.1
  • 33
    • 0021855314 scopus 로고
    • Observations of rapidly flowing granular-fluid mixtures
    • Hanes, D. M., and Inman, D. L. (1985). "Observations of rapidly flowing granular-fluid mixtures." J. Fluid Mech., 150, 357-380.
    • (1985) J. Fluid Mech. , vol.150 , pp. 357-380
    • Hanes, D.M.1    Inman, D.L.2
  • 34
    • 0542412207 scopus 로고
    • Equilibrium theory of liquids and liquid mixtures
    • H. Eyring, ed., Academic Press, Inc., New York, N.Y.
    • Henderson, D., and Davison, S. (1967). "Equilibrium theory of liquids and liquid mixtures." Physical chemistry: An advanced treatise, Vol. II/Stat. Mech., H. Eyring, ed., Academic Press, Inc., New York, N.Y., 339-404.
    • (1967) Physical Chemistry: An Advanced Treatise, Vol. II/Stat. Mech. , vol.2 , pp. 339-404
    • Henderson, D.1    Davison, S.2
  • 35
    • 0004173902 scopus 로고
    • McGraw-Hill Book Co., Inc., New York, N.Y.
    • Hill, T. L. (1956). Statistical mechanics. McGraw-Hill Book Co., Inc., New York, N.Y.
    • (1956) Statistical Mechanics
    • Hill, T.L.1
  • 36
    • 84889174360 scopus 로고
    • The viscosities of concentrated polymer solutions. I. Moderately concentrated solutions
    • Hirai, N. (1959a). "The viscosities of concentrated polymer solutions. I. Moderately concentrated solutions." J. Polymer Sci., 39(135), 435-443.
    • (1959) J. Polymer Sci. , vol.39 , Issue.135 , pp. 435-443
    • Hirai, N.1
  • 37
    • 84889229541 scopus 로고
    • The viscosities of concentrated polymer solutions. II. Extremely concentrated solutions
    • Hirai, N. (1959b). "The viscosities of concentrated polymer solutions. II. Extremely concentrated solutions." J. Polymer Sci., 40(136), 255-262.
    • (1959) J. Polymer Sci. , vol.40 , Issue.136 , pp. 255-262
    • Hirai, N.1
  • 40
    • 0022864910 scopus 로고
    • Constitutive relations for a plannar, simple shear flow of rough disks
    • Hopkins, M. A., and Shen, H. (1986). "Constitutive relations for a plannar, simple shear flow of rough disks." Int. J. Engrg. Sci., 24, 1717-1730.
    • (1986) Int. J. Engrg. Sci. , vol.24 , pp. 1717-1730
    • Hopkins, M.A.1    Shen, H.2
  • 41
    • 84976195321 scopus 로고
    • A Monte Carlo simulation of a rapid simple shear flow of granular materials
    • M. Satake and J. T. Jenkins, eds., Elsevier, Amsterdam, The Netherlands
    • Hopkins, M. A., and Shen, H. (1988). "A Monte Carlo simulation of a rapid simple shear flow of granular materials." Micromechanics of granular materials, M. Satake and J. T. Jenkins, eds., Elsevier, Amsterdam, The Netherlands, 349-358.
    • (1988) Micromechanics of Granular Materials , pp. 349-358
    • Hopkins, M.A.1    Shen, H.2
  • 42
    • 0020751294 scopus 로고
    • A theory for the rapid flow of identical smooth nearly elastic particles
    • Jenkins, J. T., and Savage, S. B. (1983). "A theory for the rapid flow of identical smooth nearly elastic particles." J. Fluid Mech., 130, 187-202.
    • (1983) J. Fluid Mech. , vol.130 , pp. 187-202
    • Jenkins, J.T.1    Savage, S.B.2
  • 43
    • 0016080963 scopus 로고
    • The rheology of suspensions
    • Jinescu, V. V. (1974). "The rheology of suspensions." Int. Chemical Engrg., 14(3), 397-420.
    • (1974) Int. Chemical Engrg. , vol.14 , Issue.3 , pp. 397-420
    • Jinescu, V.V.1
  • 44
    • 0025220801 scopus 로고
    • Frictional-collisional equations of motion for particulate flows and their application to chutes
    • Johnson, P. C., Nott, P., and Jackson, R. (1990). "Frictional-collisional equations of motion for particulate flows and their application to chutes." J. Fluid Mech., 210, 501-535.
    • (1990) J. Fluid Mech. , vol.210 , pp. 501-535
    • Johnson, P.C.1    Nott, P.2    Jackson, R.3
  • 46
    • 84892289943 scopus 로고
    • A mechanism for non-Newtonian flow in suspensions of rigid spheres
    • Krieger, I. M., and Dougherty, T. J. (1959). "A mechanism for non-Newtonian flow in suspensions of rigid spheres." Trans., Soc. of Rheology, 3, 137-152.
    • (1959) Trans., Soc. of Rheology , vol.3 , pp. 137-152
    • Krieger, I.M.1    Dougherty, T.J.2
  • 47
    • 11344262761 scopus 로고
    • The effective viscosity of suspensions of spherical particles
    • Kynch, G. J. (1956). "The effective viscosity of suspensions of spherical particles." Proc., Royal Soc. of London, Serial A(237), 90-116.
    • (1956) Proc., Royal Soc. of London, Serial A , Issue.237 , pp. 90-116
    • Kynch, G.J.1
  • 48
    • 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, 539-559.
    • (1991) J. Fluid Mech. , vol.233 , pp. 539-559
    • Lun, C.K.K.1
  • 49
    • 11344253024 scopus 로고
    • Computer simulation of simple shear flow of inelastic, factional spheres
    • C. Thornton, ed., A. A. Balkema, Rotterdam, The Netherlands
    • Lun, C. K. K., and Bent, A. A. (1993). "Computer simulation of simple shear flow of inelastic, factional spheres." Powders & Grains 93, C. Thornton, ed., A. A. Balkema, Rotterdam, The Netherlands, 301-306.
    • (1993) Powders & Grains 93 , pp. 301-306
    • Lun, C.K.K.1    Bent, A.A.2
  • 50
    • 0028160270 scopus 로고
    • Numerical simulation of inelastic factional spheres in simple shear flow
    • Lun, C. K. K., and Bent, A. A. (1994). "Numerical simulation of inelastic factional spheres in simple shear flow." J. Fluid Mech., 258, 335-353.
    • (1994) J. Fluid Mech. , vol.258 , pp. 335-353
    • Lun, C.K.K.1    Bent, A.A.2
  • 51
    • 0022153034 scopus 로고
    • The effects of an impact dependent coefficient of restitution on stresses developed by sheared granular materials
    • Lun, C. K. K., and Savage, S. B. (1986). "The effects of an impact dependent coefficient of restitution on stresses developed by sheared granular materials." Acta Mechanica, 63(1-4), 15-44.
    • (1986) Acta Mechanica , vol.63 , Issue.1-4 , pp. 15-44
    • Lun, C.K.K.1    Savage, S.B.2
  • 52
    • 84983709074 scopus 로고
    • A simple kinetic theory for granular flow of rough, inelastic, spherical particles
    • Lun, C. K. K., and Savage, S. B. (1987). "A simple kinetic theory for granular flow of rough, inelastic, spherical particles." J. Appl. Mech., 54(1), 47-53.
    • (1987) J. Appl. Mech. , vol.54 , Issue.1 , pp. 47-53
    • Lun, C.K.K.1    Savage, S.B.2
  • 53
    • 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., and 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
  • 54
    • 0001207546 scopus 로고
    • An equation of state for dense rigid sphere gases
    • Ma, D. N., and Ahmadi, G. (1986). "An equation of state for dense rigid sphere gases." J. Chemical Phys., 84, 3449-3350.
    • (1986) J. Chemical Phys. , vol.84 , pp. 3449-13350
    • Ma, D.N.1    Ahmadi, G.2
  • 56
    • 0020139206 scopus 로고
    • A nonlinear constitutive model for granular materials: Application to gravity flow
    • McTigue, D. F. (1982). "A nonlinear constitutive model for granular materials: Application to gravity flow." J. Appl. Mech., 49(2), 291-296.
    • (1982) J. Appl. Mech. , vol.49 , Issue.2 , pp. 291-296
    • McTigue, D.F.1
  • 57
    • 34249290252 scopus 로고
    • The viscosity of a concentrated suspension of spherical particles
    • Mooney, M. (1951). "The viscosity of a concentrated suspension of spherical particles." J. Colloid Sci., 6(2), 162-170.
    • (1951) J. Colloid Sci. , vol.6 , Issue.2 , pp. 162-170
    • Mooney, M.1
  • 59
    • 11344283257 scopus 로고
    • Ueber-osmose und quellung disperser systeme
    • in German
    • Ostwald, W., and Mundler, K. (1919). "Ueber-osmose und quellung disperser systeme." Kolloid-Zeitschrift, 24(1), 7-27 (in German).
    • (1919) Kolloid-Zeitschrift , vol.24 , Issue.1 , pp. 7-27
    • Ostwald, W.1    Mundler, K.2
  • 60
    • 36849121550 scopus 로고
    • Fifth and sixth virial coefficients for hard spheres and hard disks
    • Ree, F. H., and Hoover, W. G. (1964). "Fifth and sixth virial coefficients for hard spheres and hard disks." J. Chemical Phys., 40(4), 939-950.
    • (1964) J. Chemical Phys. , vol.40 , Issue.4 , pp. 939-950
    • Ree, F.H.1    Hoover, W.G.2
  • 61
    • 0022926649 scopus 로고
    • Kinetic theories for rate dependent granular flows
    • ASME, New York, N.Y.
    • Richman, M. W. (1987). "Kinetic theories for rate dependent granular flows." Proc., 10th U.S. Nat. Congr. on Appl. Mech., ASME, New York, N.Y., 339-346.
    • (1987) Proc., 10th U.S. Nat. Congr. on Appl. Mech. , pp. 339-346
    • Richman, M.W.1
  • 62
    • 0000004138 scopus 로고
    • The viscosity of suspensions of rigid spheres
    • Roscoe, R. (1952). "The viscosity of suspensions of rigid spheres." British J. Appl. Phys., 3, 267-269.
    • (1952) British J. Appl. Phys. , vol.3 , pp. 267-269
    • Roscoe, R.1
  • 63
    • 0000656568 scopus 로고
    • Relative viscosity and concentration
    • Rutgers, I. R. (1962a). "Relative viscosity and concentration." Rheologica Acta, 2(4), 305-348.
    • (1962) Rheologica Acta , vol.2 , Issue.4 , pp. 305-348
    • Rutgers, I.R.1
  • 64
    • 0000656566 scopus 로고
    • Relative viscosity of suspensions of rigid spheres in Newtonian liquids
    • Rutgers, I. R. (1962b). "Relative viscosity of suspensions of rigid spheres in Newtonian liquids." Rheologica Acta, 2(3), 202-210.
    • (1962) Rheologica Acta , vol.2 , Issue.3 , pp. 202-210
    • Rutgers, I.R.1
  • 65
    • 84954733866 scopus 로고
    • The lift on a small sphere in a slow shear flow
    • Saffman, P. G. (1965). "The lift on a small sphere in a slow shear flow." J. Fluid Mech., 22, 385-400.
    • (1965) J. Fluid Mech. , vol.22 , pp. 385-400
    • Saffman, P.G.1
  • 67
    • 85034465601 scopus 로고
    • Gravity flow of cohesionless granular materials in chutes and channels
    • Savage, S. B. (1979). "Gravity flow of cohesionless granular materials in chutes and channels." J. Fluid Mech., 110, 255-272.
    • (1979) J. Fluid Mech. , vol.110 , pp. 255-272
    • Savage, S.B.1
  • 68
    • 0021295449 scopus 로고
    • The mechanics of rapid granular flows
    • J. W. Hutchinson and T. Y. Wu, eds., Academic Press, Inc., Orlando, Fla.
    • Savage, S. B. (1984). "The mechanics of rapid granular flows." Advances in applied mechanics, J. W. Hutchinson and T. Y. Wu, eds., Academic Press, Inc., Orlando, Fla., 24, 289-366.
    • (1984) Advances in Applied Mechanics , vol.24 , pp. 289-366
    • Savage, S.B.1
  • 69
    • 0024082756 scopus 로고
    • Streaming motions in a bed of vibrationally fluidized dry granular material
    • Savage, S. B. (1988). "Streaming motions in a bed of vibrationally fluidized dry granular material." J. Fluid Mech., 194, 457-478.
    • (1988) J. Fluid Mech. , vol.194 , pp. 457-478
    • Savage, S.B.1
  • 70
    • 84974346356 scopus 로고
    • The stress tensor in a granular flow at high shear rates
    • Savage, S. B., and 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
  • 71
    • 84974040597 scopus 로고
    • Shear stresses developed during rapid shear of concentrated suspensions of large spherical particles between concentric cylinders
    • Savage, S. B., and McKeown, S. (1983). "Shear stresses developed during rapid shear of concentrated suspensions of large spherical particles between concentric cylinders." J. Fluid Mech., 127, 453-472.
    • (1983) J. Fluid Mech. , vol.127 , pp. 453-472
    • Savage, S.B.1    McKeown, S.2
  • 72
    • 0021641958 scopus 로고
    • Stresses developed by dry cohesionless granular materials sheared in an annular shear cell
    • Savage, S. B., and Sayed, M. (1984). "Stresses developed by dry cohesionless granular materials sheared in an annular shear cell." J. Fluid Mech., 142, 391-430.
    • (1984) J. Fluid Mech. , vol.142 , pp. 391-430
    • Savage, S.B.1    Sayed, M.2
  • 74
    • 0002212819 scopus 로고
    • Rapid gravity flow of cohesionless granular materials down inclined chutes
    • Sayed, M., and Savage, S. B. (1983). "Rapid gravity flow of cohesionless granular materials down inclined chutes." J. Appl. Mathematics and Phys. (ZAMP), 34(1), 84-100.
    • (1983) J. Appl. Mathematics and Phys. (ZAMP) , vol.34 , Issue.1 , pp. 84-100
    • Sayed, M.1    Savage, S.B.2
  • 75
    • 0002591409 scopus 로고
    • Uber eine neue viskositatsfunktion von weitem gultigkeitsbereich
    • Schramek, W. (1955). "Uber eine neue viskositatsfunktion von weitem gultigkeitsbereich." Makromolekulare Chemie, 17, 19-28.
    • (1955) Makromolekulare Chemie , vol.17 , pp. 19-28
    • Schramek, W.1
  • 76
    • 36849122890 scopus 로고
    • Equation of state for hard spheres
    • Thiele, E. (1963). "Equation of state for hard spheres." J. Chemical Phys., 39(2), 474-479.
    • (1963) J. Chemical Phys. , vol.39 , Issue.2 , pp. 474-479
    • Thiele, E.1
  • 77
    • 0011902517 scopus 로고
    • Three-body hydrodynamic effects on viscosity of suspensions of spheres
    • Thomas, C. U., and Muthukumar, M. (1991). "Three-body hydrodynamic effects on viscosity of suspensions of spheres." J. Chemical Phys., 94(6), 5180-5189.
    • (1991) J. Chemical Phys. , vol.94 , Issue.6 , pp. 5180-5189
    • Thomas, C.U.1    Muthukumar, M.2
  • 78
    • 33846170952 scopus 로고
    • Transport characteristics of suspension: VIII. A note on the viscosity of Newtonian suspensions of uniform spherical particles
    • Thomas, D. G. (1965). "Transport characteristics of suspension: VIII. A note on the viscosity of Newtonian suspensions of uniform spherical particles." J. Colloid Sci., 20, 267-277.
    • (1965) J. Colloid Sci. , vol.20 , pp. 267-277
    • Thomas, D.G.1
  • 79
    • 0029352739 scopus 로고
    • Simple shear flows of dilute gassolid suspensions
    • Tsao, H.-K., and Koch, D. L. (1995). "Simple shear flows of dilute gassolid suspensions." J. Fluid Mech., 296, 211-245.
    • (1995) J. Fluid Mech. , vol.296 , pp. 211-245
    • Tsao, H.-K.1    Koch, D.L.2
  • 80
    • 33947469682 scopus 로고
    • Viscosity of solutions and suspensions. I. Theory
    • Vand, V. (1948). "Viscosity of solutions and suspensions. I. Theory." J. Phys. and Colloid Chem., 52(2), 277-299.
    • (1948) J. Phys. and Colloid Chem. , vol.52 , Issue.2 , pp. 277-299
    • Vand, V.1
  • 81
    • 34347122158 scopus 로고
    • Theoretische bemerkunger uber die viskositat der kolloide
    • in German
    • v. Smoluchowski, M. (1916). "Theoretische bemerkunger uber die viskositat der kolloide." Kolloid-Zeitschrift, 18(5), 190-195 (in German).
    • (1916) Kolloid-Zeitschrift , vol.18 , Issue.5 , pp. 190-195
    • V. Smoluchowski, M.1
  • 82
    • 0022138225 scopus 로고
    • Viscosity, granular temperature and stress calculations for shearing assemblies of inelastic, frictional disks
    • Walton, O. R., and Braun, R. L. (1985). "Viscosity, granular temperature and stress calculations for shearing assemblies of inelastic, frictional disks." J. Rheology, 30(5), 949-980.
    • (1985) J. Rheology , vol.30 , Issue.5 , pp. 949-980
    • Walton, O.R.1    Braun, R.L.2
  • 83
    • 0022153028 scopus 로고
    • Stress calculations for assemblies of inelastic spheres in uniform shear
    • Walton, O. R., and Braun, R. L. (1987). "Stress calculations for assemblies of inelastic spheres in uniform shear." Acta Mechanica, 63(1-4), 73-86.
    • (1987) Acta Mechanica , vol.63 , Issue.1-4 , pp. 73-86
    • Walton, O.R.1    Braun, R.L.2
  • 84
    • 0027009841 scopus 로고
    • Reynolds analogy for a shearing granular material
    • Wang, D. G., and Campbell, C. S. (1992). "Reynolds analogy for a shearing granular material." J. Fluid Mech., 244, 527-546.
    • (1992) J. Fluid Mech. , vol.244 , pp. 527-546
    • Wang, D.G.1    Campbell, C.S.2


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