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1
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0020751294
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A theory for rapid flow of identical, smooth, nearly elastic, spherical particles
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J.T. Jenkins and S.B. Savage, "A theory for rapid flow of identical, smooth, nearly elastic, spherical particles," J. Fluid Mech. 130, 187 (1983).
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Jenkins, J.T.1
Savage, S.B.2
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2
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0021642448
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Kinetic theories of granular flow: Inelastic particles in a Couette flow and slightly inelastic particles in a general flow field
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C.K.K. Lun, S.B. Savage, D.J. Jeffrey and N. Chepurniy, "Kinetic theories of granular flow: inelastic particles in a Couette flow and slightly inelastic particles in a general flow field," J. Fluid Mech. 140, 223 (1984).
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Lun, C.K.K.1
Savage, S.B.2
Jeffrey, D.J.3
Chepurniy, N.4
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3
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0021899363
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Grad's 13-moment system for a dense gas of inclastic particles
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J.T. Jenkins and M.W. Richman, "Grad's 13-moment system for a dense gas of inclastic particles," Arch. Rat. Mech. Anal. 87, 355 (1985).
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(1985)
Arch. Rat. Mech. Anal.
, vol.87
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Jenkins, J.T.1
Richman, M.W.2
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4
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0020811698
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Grain flow as a fluid mechanical phenomenon
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P.K. Haff, "Grain flow as a fluid mechanical phenomenon," J. Fluid Mech. 134, 401 (1983).
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J. Fluid Mech.
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Haff, P.K.1
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5
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12044258224
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Clustering instability in dissipative gases
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I. Goldhirsch and G. Zanetti, "Clustering instability in dissipative gases," Phys. Rev. Lett. 70, 1619 (1993).
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(1993)
Phys. Rev. Lett.
, vol.70
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Goldhirsch, I.1
Zanetti, G.2
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6
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0027556839
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A molecular dynamical study of granular fluids. (I). The unforced granular gas in two-dimensions
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I. Goldhirsch, M-L. Tan, and G. Zanetti, "A molecular dynamical study of granular fluids. (I). The unforced granular gas in two-dimensions," J. Sci. Comput. 8, 1 (1993).
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J. Sci. Comput.
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Goldhirsch, I.1
Tan, M.-L.2
Zanetti, G.3
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7
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0029105874
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Hydrodynamics of a one-dimensional granular medium
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N. Sela and I. Goldhirsch, "Hydrodynamics of a one-dimensional granular medium," Phys. Fluids 7, 507 (1995).
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(1995)
Phys. Fluids
, vol.7
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Sela, N.1
Goldhirsch, I.2
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8
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0347922060
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Inelastic collapse and clumping in a one-dimensional granular medium
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S. McNamara and W.R. Young, "Inelastic collapse and clumping in a one-dimensional granular medium," Phys. Fluids A 4, 496 (1992).
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Phys. Fluids A
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McNamara, S.1
Young, W.R.2
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9
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0027389754
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Kinetics of a one-dimensional granular medium in the quasielastic limit
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S. McNamara and W.R. Young, "Kinetics of a one-dimensional granular medium in the quasielastic limit," Phys. Fluids A 5, 34 (1993).
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McNamara, S.1
Young, W.R.2
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10
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0025957905
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Inelastic microstructure in rapid granular flows of smooth disks
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M.A. Hopkins and M.Y. Louge, "Inelastic microstructure in rapid granular flows of smooth disks," Phys. Fluids A 3, 47 (1991).
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Phys. Fluids A
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Hopkins, M.A.1
Louge, M.Y.2
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11
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0026806621
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Instability of an unbounded uniform granular shear flow
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S.B. Savage, "Instability of an unbounded uniform granular shear flow," J. Fluid Mech. 241, 109 (1992).
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Savage, S.B.1
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12
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0027533086
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On the stability of rapid granular flows
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M. Babic, "On the stability of rapid granular flows," J. Fluid Mech. 254, 127 (1993).
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J. Fluid Mech.
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Babic, M.1
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13
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8344265475
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Intercluster interactions in rapid granular shear flows
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submitted
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M.I. Tan and I. Goldhirsch, "Intercluster interactions in rapid granular shear flows," submitted to Phys. Fluids (1995).
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(1995)
Phys. Fluids
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Tan, M.I.1
Goldhirsch, I.2
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14
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0022153028
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Stress calculations for assemblies of inelastic spheres in uniform shear
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O.R. Walton and R.I. Braun, "Stress calculations for assemblies of inelastic spheres in uniform shear," Acta Mech. 63, 73 (1986).
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Acta Mech.
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Walton, O.R.1
Braun, R.I.2
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15
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0022678361
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The stress tensor in a two-dimensional granular shear flow
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C.S. Campbell and A. Gong, "The stress tensor in a two-dimensional granular shear flow," J. Fluid Mech. 164, 107 (1986).
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J. Fluid Mech.
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Campbell, C.S.1
Gong, A.2
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17
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85033006947
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Ph.D. thesis, Princeton University
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M.L. Tan, Ph.D. thesis, Princeton University, 1995.
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(1995)
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Tan, M.L.1
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18
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0018504051
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Transport processes in dilute gases over the whole range of Knudsen numbers. Part 1: General theory
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L.C. Woods, "Transport processes in dilute gases over the whole range of Knudsen numbers. Part 1: General theory," J. Fluid Mech. 93, 585 (1979).
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Woods, L.C.1
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19
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0001279602
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Comparison of Burnett, super-Burnett, and Monte-Carlo solutions for hypersonic shock structure
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K.A. Fiscko and D.R. Chapman, "Comparison of Burnett, super-Burnett, and Monte-Carlo solutions for hypersonic shock structure," Prog. Aeronaut. Astronaut. 118, 374 (1989).
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Fiscko, K.A.1
Chapman, D.R.2
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20
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0004292239
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Springer-Verlag, Berlin, and references therein
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D. Jou, J. Casa-Vazquez and G. Lebon, Extended Irreversible Thermodynamics (Springer-Verlag, Berlin, 1993), and references therein.
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Extended Irreversible Thermodynamics
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Jou, D.1
Casa-Vazquez, J.2
Lebon, G.3
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21
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0000777660
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A continuum theory for granular materials
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M.A Goodman and S.C. Cowin, "A continuum theory for granular materials," Arch. Rat. Mech. Anal. 44, 249 (1972).
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Goodman, M.A.1
Cowin, S.C.2
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22
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34249773440
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On flows of granular materials
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and references therein
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K. Hutter and W.R. Rajagopal, "On flows of granular materials," Continuum Mech. Thermodyn. 6, 81 (1994), and references therein.
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Hutter, K.1
Rajagopal, W.R.2
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23
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0028992020
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Mechanics of collisional motion of granular materials, Part 1: General hydrodynamic equations
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A. Goldshtein and M. Shapiro, "Mechanics of collisional motion of granular materials, Part 1: General hydrodynamic equations," J. Fluid Mech. 282, 75 (1995).
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J. Fluid Mech.
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Goldshtein, A.1
Shapiro, M.2
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24
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0025546095
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A theory for granular materials exhibiting normal stress effects based on Enskog's dense gas theory
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E.J. Boyle and M. Massoudi, "A theory for granular materials exhibiting normal stress effects based on Enskog's dense gas theory," Int. J. Eng. Sci. 28, 1261 (1990).
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Boyle, E.J.1
Massoudi, M.2
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25
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84974313513
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Plane simple shear of smooth inelastic circular disks: The anisotropy of the second moment in the dilute and dense limit
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J.T. Jenkins and M.W. Richman, "Plane simple shear of smooth inelastic circular disks: the anisotropy of the second moment in the dilute and dense limit," J. Fluid Mech. 192, 313 (1988).
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Jenkins, J.T.1
Richman, M.W.2
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26
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85033008667
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Origin of normal stress differences in rapid granular flows
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Brief Reports (in press)
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I. Goldhirsch and N. Sela, "Origin of normal stress differences in rapid granular flows," Phys. Rev. E., Brief Reports (in press).
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Phys. Rev. E.
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Goldhirsch, I.1
Sela, N.2
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28
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85033007963
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note
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The problem of separating the γ→0 and ∈→0 limits (which are equivalent in the steady-state, at a given temperature, as explained in the main text) has been addressedin Ref. 26. To this end the Chapman-Enskog formulation is generalized in Ref. 26 to a transient case by allowing the homogeneity. The shear-rate γ (appropriately nondimensionalized) and ∈ are then employed as the (independent) small parameters of the expansion. The result of the formalism is that Eq. (55) in the above holds in general and that it reduces to Eq. (54) in the steady-state.
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