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Volumn 623, Issue , 2009, Pages 387-411

Modified Sonine approximation for granular binary mixtures

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; DISTRIBUTION FUNCTIONS; MONTE CARLO METHODS; NAVIER STOKES EQUATIONS;

EID: 65549130131     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008005375     Document Type: Article
Times cited : (22)

References (57)
  • 1
    • 33744779877 scopus 로고    scopus 로고
    • Patterns and collective behaviour in granular media: Theoretical concepts
    • ARANSON, I. S. & TSIMRING, L. V. 2006 Patterns and collective behaviour in granular media: Theoretical concepts. Rev. Mod. Phys. 78, 641-692.
    • (2006) Rev. Mod. Phys , vol.78 , pp. 641-692
    • ARANSON, I.S.1    TSIMRING, L.V.2
  • 2
    • 11744251699 scopus 로고    scopus 로고
    • Thermal diffusion in binary mixtures of smooth, nearly elastic spheres with and without gravity
    • ARNARSON, B. & WILLITS, J. T. 1998 Thermal diffusion in binary mixtures of smooth, nearly elastic spheres with and without gravity. Phys. Fluids 10, 1324-1328.
    • (1998) Phys. Fluids , vol.10 , pp. 1324-1328
    • ARNARSON, B.1    WILLITS, J.T.2
  • 3
    • 0036666117 scopus 로고    scopus 로고
    • Lack of energy equipartition in homogeneous heated binary granular mixtures
    • BARRAT, A. & TRIZAC, E. 2002 Lack of energy equipartition in homogeneous heated binary granular mixtures. Gran. Matt. 4, 57-63.
    • (2002) Gran. Matt , vol.4 , pp. 57-63
    • BARRAT, A.1    TRIZAC, E.2
  • 4
    • 17544387003 scopus 로고    scopus 로고
    • BIRD, G. A. 1994 Molecular Gas Dynamics and the Direct Simulation Monte Carlo of Gas Flows. Clarendon.
    • BIRD, G. A. 1994 Molecular Gas Dynamics and the Direct Simulation Monte Carlo of Gas Flows. Clarendon.
  • 5
    • 0031161527 scopus 로고    scopus 로고
    • Dissipative dynamics for hard spheres
    • BREY, J. J., DUFTY, J. W. & SANTOS, A. 1997 Dissipative dynamics for hard spheres. J. Stat. Phys. 87, 1051-1066.
    • (1997) J. Stat. Phys , vol.87 , pp. 1051-1066
    • BREY, J.J.1    DUFTY, J.W.2    SANTOS, A.3
  • 6
    • 0032185855 scopus 로고    scopus 로고
    • Hydrodynamics for granular flows at low density
    • BREY, J. J., DUFTY, J. W., SANTOS, A. & KIM, C. S. 1998 Hydrodynamics for granular flows at low density. Phys. Rev. E 58, 4638-4653.
    • (1998) Phys. Rev. E , vol.58 , pp. 4638-4653
    • BREY, J.J.1    DUFTY, J.W.2    SANTOS, A.3    KIM, C.S.4
  • 7
    • 41349109076 scopus 로고    scopus 로고
    • Simulation study of the Green-Kubo relations for dilute granular gases
    • BREY, J. J. & RUIZ-MOMTERO, M. J. 2004 Simulation study of the Green-Kubo relations for dilute granular gases. Phys. Rev. E 70 051301.
    • (2004) Phys. Rev. E , vol.70 , pp. 051301
    • BREY, J.J.1    RUIZ-MOMTERO, M.J.2
  • 8
    • 0033244252 scopus 로고    scopus 로고
    • On the validity of linear hydrodynamics for low-density granular flows described by the Boltzmann equation
    • BREY, J. J., RUIZ-MOMTERO, M. J. & CUBERO, D. 1999 On the validity of linear hydrodynamics for low-density granular flows described by the Boltzmann equation. Europhys. Lett. 48, 359-364.
    • (1999) Europhys. Lett , vol.48 , pp. 359-364
    • BREY, J.J.1    RUIZ-MOMTERO, M.J.2    CUBERO, D.3
  • 10
    • 21044434174 scopus 로고    scopus 로고
    • Hydrodynamic modes, Green-Kubo relations, and velocity correlations in dilute granular gases
    • S2502
    • BREY, J. J., RUIZ-MONTERO, M. J., MAYNAR, P. & GARCÍA DE SORIA, I. 2005a Hydrodynamic modes, Green-Kubo relations, and velocity correlations in dilute granular gases. J. Phys.: Condens. Matter 17 (S2502).
    • (2005) J. Phys.: Condens. Matter , vol.17
    • BREY, J.J.1    RUIZ-MONTERO, M.J.2    MAYNAR, P.3    GARCÍA4    DE SORIA, I.5
  • 11
    • 27144441404 scopus 로고    scopus 로고
    • Energy partition and segregation for an intruder in a vibrated granular system under gravity
    • BREY, J. J., RUIZ-MONTERO, M. J. & MORENO, F. 2005b Energy partition and segregation for an intruder in a vibrated granular system under gravity. Phys. Rev. Lett. 95, 098001.
    • (2005) Phys. Rev. Lett , vol.95 , pp. 098001
    • BREY, J.J.1    RUIZ-MONTERO, M.J.2    MORENO, F.3
  • 12
    • 33644624234 scopus 로고    scopus 로고
    • Hydrodynamic profiles for an impurity in an open vibrated granular gas
    • BREY, J. J., RUIZ-MONTERO, M. J. & MORENO, F. 2006 Hydrodynamic profiles for an impurity in an open vibrated granular gas. Phys. Rev. E 73, 031301.
    • (2006) Phys. Rev. E , vol.73 , pp. 031301
    • BREY, J.J.1    RUIZ-MONTERO, M.J.2    MORENO, F.3
  • 13
    • 41349114560 scopus 로고    scopus 로고
    • Transversal inhomogeneities in dilute vibrofluidized granular fluids
    • BREY, J. J., RUIZ-MONTERO, M. J., MORENO, F. & GARCÍA-ROJO, R. 2002 Transversal inhomogeneities in dilute vibrofluidized granular fluids. Phys. Rev. E 65, 061302.
    • (2002) Phys. Rev. E , vol.65 , pp. 061302
    • BREY, J.J.1    RUIZ-MONTERO, M.J.2    MORENO, F.3    GARCÍA-ROJO, R.4
  • 18
    • 0037071292 scopus 로고    scopus 로고
    • Breakdown of energy equipartition in a 2d binary vibrated granular gas
    • FEITOSA, K. & MENON, N. 2002 Breakdown of energy equipartition in a 2d binary vibrated granular gas. Phys. Rev. Lett. 88, 198301.
    • (2002) Phys. Rev. Lett , vol.88 , pp. 198301
    • FEITOSA, K.1    MENON, N.2
  • 19
    • 27244449781 scopus 로고    scopus 로고
    • Instabilities in a free granular fluid described by the Enskog equation
    • GARZÓ, V. 2005 Instabilities in a free granular fluid described by the Enskog equation. Phys. Rev. E 72, 021106.
    • (2005) Phys. Rev. E , vol.72 , pp. 021106
    • GARZÓ, V.1
  • 20
    • 0001215813 scopus 로고    scopus 로고
    • Dense fluid transport for inelastic hard spheres
    • GARZÓ, V. & DUFTY, J. W. 1999a Dense fluid transport for inelastic hard spheres. Phys. Rev. E 59, 5895-5911.
    • (1999) Phys. Rev. E , vol.59 , pp. 5895-5911
    • GARZÓ, V.1    DUFTY, J.W.2
  • 21
    • 0001254865 scopus 로고    scopus 로고
    • Homogeneous cooling state for a granular mixture
    • GARZÓ, V. & DUFTY, J. W. 1999b Homogeneous cooling state for a granular mixture. Phys. Rev. E 60, 5706-5713.
    • (1999) Phys. Rev. E , vol.60 , pp. 5706-5713
    • GARZÓ, V.1    DUFTY, J.W.2
  • 22
    • 0036538463 scopus 로고    scopus 로고
    • Hydrodynamics for a granular binary mixture at low density
    • GARZÓ, V. & DUFTY, J. W. 2002 Hydrodynamics for a granular binary mixture at low density. Phys. Fluids. 14, 1476-1490.
    • (2002) Phys. Fluids , vol.14 , pp. 1476-1490
    • GARZÓ, V.1    DUFTY, J.W.2
  • 23
    • 34548814781 scopus 로고    scopus 로고
    • Enskog theory for polydisperse granular mixtures. Part 1. Navier-Stokes order transport
    • GARZÓ, V., DUFTY, J. W. & HRENYA, C. M. 2007a Enskog theory for polydisperse granular mixtures. Part 1. Navier-Stokes order transport. Phys. Rev. E 76, 031303.
    • (2007) Phys. Rev. E , vol.76 , pp. 031303
    • GARZÓ, V.1    DUFTY, J.W.2    HRENYA, C.M.3
  • 24
    • 34548827099 scopus 로고    scopus 로고
    • Enskog theory for polydisperse granular mixtures. Part 2. Sonine polynomial approximation
    • GARZÓ, V., HRENYA, C. M. & DUFTY, J. W. 2007b Enskog theory for polydisperse granular mixtures. Part 2. Sonine polynomial approximation. Phys. Rev. E 76, 031304.
    • (2007) Phys. Rev. E , vol.76 , pp. 031304
    • GARZÓ, V.1    HRENYA, C.M.2    DUFTY, J.W.3
  • 25
    • 0037107940 scopus 로고    scopus 로고
    • Transport coefficients of a heated granular gas
    • GARZÓ, V. & MONTERO, J. M. 2002 Transport coefficients of a heated granular gas. Physica A 313, 336-356.
    • (2002) Physica A , vol.313 , pp. 336-356
    • GARZÓ, V.1    MONTERO, J.M.2
  • 26
    • 37649026558 scopus 로고    scopus 로고
    • Diffusion of impurities in a granular gas
    • GARZÓ, V. & MONTANERO, J. M. 2004 Diffusion of impurities in a granular gas. Phys. Rev. E 69, 021301.
    • (2004) Phys. Rev. E , vol.69 , pp. 021301
    • GARZÓ, V.1    MONTANERO, J.M.2
  • 27
    • 34548628974 scopus 로고    scopus 로고
    • Navier-Stokes transport coefficients of d-dimensional granular binary mixtures at low density
    • GARZÓ, V. & MONTANERO, J. M. 2007 Navier-Stokes transport coefficients of d-dimensional granular binary mixtures at low density. J. Stat. Phys. 129, 27-58.
    • (2007) J. Stat. Phys , vol.129 , pp. 27-58
    • GARZÓ, V.1    MONTANERO, J.M.2
  • 28
    • 33748251283 scopus 로고    scopus 로고
    • Mass and heat fluxes for a binary granular mixture at low density
    • GARZÓ, V., MONTANERO, J. M. & DUFTY, J. W. 2006 Mass and heat fluxes for a binary granular mixture at low density. Phys. Fluids 18, 083305.
    • (2006) Phys. Fluids , vol.18 , pp. 083305
    • GARZÓ, V.1    MONTANERO, J.M.2    DUFTY, J.W.3
  • 30
    • 33846147722 scopus 로고    scopus 로고
    • Modified Sonine approximation for the Navier-Stokes transport coefficients of a granular gas
    • GARZÓ, V., SANTOS, A. & MONTANERO, J. M. 2007c Modified Sonine approximation for the Navier-Stokes transport coefficients of a granular gas. Physica A 376, 94-107.
    • (2007) Physica A , vol.376 , pp. 94-107
    • GARZÓ, V.1    SANTOS, A.2    MONTANERO, J.M.3
  • 32
    • 0028992020 scopus 로고
    • Mechanics of collisional motion of granular materials. 1. General hydrodynamic equations
    • GOLDSHTEIN, A. & SHAPIRO, M. 1995 Mechanics of collisional motion of granular materials. 1. General hydrodynamic equations. J. Fluid Mech. 282, 75-114.
    • (1995) J. Fluid Mech , vol.282 , pp. 75-114
    • GOLDSHTEIN, A.1    SHAPIRO, M.2
  • 33
    • 40449124109 scopus 로고    scopus 로고
    • Evidence of higher order effects in thermally driven granular flows
    • HRENYA, C. M., GALVIN, J. E. & WILDMAN, R. D. 2008 Evidence of higher order effects in thermally driven granular flows. J. Fluid Mech. 598, 429-450.
    • (2008) J. Fluid Mech , vol.598 , pp. 429-450
    • HRENYA, C.M.1    GALVIN, J.E.2    WILDMAN, R.D.3
  • 34
    • 42749104320 scopus 로고    scopus 로고
    • NMR experiments on a three-dimensional vibrofluidized granular medium
    • HUAN, C., YANG, X., CANDELA, D., MAIR, R. W. & WALSWORTH, R. L. 2004 NMR experiments on a three-dimensional vibrofluidized granular medium. Phys. Rev. E 69, 041302.
    • (2004) Phys. Rev. E , vol.69 , pp. 041302
    • HUAN, C.1    YANG, X.2    CANDELA, D.3    MAIR, R.W.4    WALSWORTH, R.L.5
  • 35
    • 36549101643 scopus 로고
    • Kinetic theory for binary mixtures of smooth, nearly elastic spheres
    • JENKINS, J. T. & MANCINI, F. 1989 Kinetic theory for binary mixtures of smooth, nearly elastic spheres. Phys. Fluids A 1 2050-2057.
    • (1989) Phys. Fluids A , vol.1 , pp. 2050-2057
    • JENKINS, J.T.1    MANCINI, F.2
  • 36
    • 37649032113 scopus 로고    scopus 로고
    • Mass and size effects in three-dimensional vibrofluidized granular mixtures
    • KROUSKOP, P. & TALBOT, J. 2003 Mass and size effects in three-dimensional vibrofluidized granular mixtures. Phys. Rev. E 68, 021304.
    • (2003) Phys. Rev. E , vol.68 , pp. 021304
    • KROUSKOP, P.1    TALBOT, J.2
  • 37
    • 34547670748 scopus 로고    scopus 로고
    • Spatial force correlations in granular shear flow. Part 2. Theoretical implications
    • LOIS, G., LEMAÎTRE, A. & CARLSON, J. M. 2007 Spatial force correlations in granular shear flow. Part 2. Theoretical implications. Phys. Rev. E 76, 021303.
    • (2007) Phys. Rev. E , vol.76 , pp. 021303
    • LOIS, G.1    LEMAÎTRE, A.2    CARLSON, J.M.3
  • 38
    • 27244450131 scopus 로고    scopus 로고
    • Transport properties of dense dissipative hard-sphere fluids for arbitrary energy loss models
    • LUTSKO, J. 2005 Transport properties of dense dissipative hard-sphere fluids for arbitrary energy loss models. Phys. Rev. E 72, 021306.
    • (2005) Phys. Rev. E , vol.72 , pp. 021306
    • LUTSKO, J.1
  • 39
    • 37649029379 scopus 로고    scopus 로고
    • Diffusion in a granular fluid. Part 2. Simulation
    • LUTSKO, J., BREY, J. J. & DUFTY, J. W. 2002 Diffusion in a granular fluid. Part 2. Simulation. Phys. Rev. E 65, 051304.
    • (2002) Phys. Rev. E , vol.65 , pp. 051304
    • LUTSKO, J.1    BREY, J.J.2    DUFTY, J.W.3
  • 40
    • 23044529462 scopus 로고    scopus 로고
    • Monte Carlo simulation of the homogeneous cooling state for a granular mixture
    • MONTANERO, J. M. & GARZÓ, V. 2002 Monte Carlo simulation of the homogeneous cooling state for a granular mixture. Gran. Matt. 4 17-24.
    • (2002) Gran. Matt , vol.4 , pp. 17-24
    • MONTANERO, J.M.1    GARZÓ, V.2
  • 41
    • 0038733738 scopus 로고    scopus 로고
    • Shear viscosity for a heated granular binary mixture at low density
    • MONTANERO, J. M. & GARZÓ, V. 2003 Shear viscosity for a heated granular binary mixture at low density. Phys. Rev. E 67, 021308.
    • (2003) Phys. Rev. E , vol.67 , pp. 021308
    • MONTANERO, J.M.1    GARZÓ, V.2
  • 42
    • 33749020323 scopus 로고    scopus 로고
    • MONTANERO, J. M., SANTOS, A. & GARZÓ, V. 2005 DSMC evaluation of the Navier-Stokes shear viscosity of a granular fluid. In Rarefied Gas Dynamics 24 (ed. M. Capitelli, AIP Conference Proceedings), 762, pp. 797-802.
    • MONTANERO, J. M., SANTOS, A. & GARZÓ, V. 2005 DSMC evaluation of the Navier-Stokes shear viscosity of a granular fluid. In Rarefied Gas Dynamics 24 (ed. M. Capitelli, AIP Conference Proceedings), vol. 762, pp. 797-802.
  • 43
    • 33846148397 scopus 로고    scopus 로고
    • First-order Chapman-Enskog velocity distribution function in a granular gas
    • MONTANERO, J. M., SANTOS, A. & GARZÓ, V. 2007 First-order Chapman-Enskog velocity distribution function in a granular gas. Physica A 376, 75-93.
    • (2007) Physica A , vol.376 , pp. 75-93
    • MONTANERO, J.M.1    SANTOS, A.2    GARZÓ, V.3
  • 47
    • 42749104192 scopus 로고    scopus 로고
    • Inherent rheology of a granular fluid in uniform shear flow
    • SANTOS, A., GARZÓ, V. & DUFTY, J. W. 2004 Inherent rheology of a granular fluid in uniform shear flow. Phys. Rev. E 69, 061303.
    • (2004) Phys. Rev. E , vol.69 , pp. 061303
    • SANTOS, A.1    GARZÓ, V.2    DUFTY, J.W.3
  • 48
  • 49
    • 0032050661 scopus 로고    scopus 로고
    • Hydrodynamic equations for rapid flows of smooth inelastic spheres to Burnett order
    • SELA, N. & GOLDHIRSCH, I. 1998 Hydrodynamic equations for rapid flows of smooth inelastic spheres to Burnett order. J. Fluid Mech. 361, 41-74.
    • (1998) J. Fluid Mech , vol.361 , pp. 41-74
    • SELA, N.1    GOLDHIRSCH, I.2
  • 50
    • 33646027030 scopus 로고    scopus 로고
    • Hydrodynamics of granular gases and granular gas mixtures
    • SERERO, D., GOLDHIRSCH, I., NOSKOWICZ, S. H. & TAN, M. L. 2006 Hydrodynamics of granular gases and granular gas mixtures. J. Fluid Mech. 554, 237-258.
    • (2006) J. Fluid Mech , vol.554 , pp. 237-258
    • SERERO, D.1    GOLDHIRSCH, I.2    NOSKOWICZ, S.H.3    TAN, M.L.4
  • 51
    • 56149122437 scopus 로고    scopus 로고
    • The effect of inelasticity on the phase transitions of a thin vibrated granular layer
    • VEGA REYES, F. & URBACH, J. S. 2008a The effect of inelasticity on the phase transitions of a thin vibrated granular layer. Phys. Rev. E 78, 051301.
    • (2008) Phys. Rev. E , vol.78 , pp. 051301
    • VEGA REYES, F.1    URBACH, J.S.2
  • 52
    • 65649101666 scopus 로고    scopus 로고
    • VEGA REYES, F. & URBACH, J. S. 2008b Steady base states for Navier-Stokes granulodynamics with boundary heating and shear. J. Fluid. Mech. (submitted) (Preprint: ArXiv: 0807.5125).
    • VEGA REYES, F. & URBACH, J. S. 2008b Steady base states for Navier-Stokes granulodynamics with boundary heating and shear. J. Fluid. Mech. (submitted) (Preprint: ArXiv: 0807.5125).
  • 53
    • 0242410628 scopus 로고    scopus 로고
    • Simulation study on kinetic temperatures of vibrated binary granular mixtures
    • WANG, H., JIN, G. & MA, Y. 2003 Simulation study on kinetic temperatures of vibrated binary granular mixtures. Phys. Rev. E 68, 031301.
    • (2003) Phys. Rev. E , vol.68 , pp. 031301
    • WANG, H.1    JIN, G.2    MA, Y.3
  • 54
    • 4043121171 scopus 로고    scopus 로고
    • Coexistence of two granular temperatures in binary vibrofluidized beds
    • WILDMAN, R. D. & PARKER, D. J. 2002 Coexistence of two granular temperatures in binary vibrofluidized beds. Phys. Rev. Lett. 88 064301.
    • (2002) Phys. Rev. Lett , vol.88 , pp. 064301
    • WILDMAN, R.D.1    PARKER, D.J.2
  • 55
    • 0032620766 scopus 로고    scopus 로고
    • Kinetic theory of a binary mixture of nearly elastic disks
    • WILLITS, J. T. & ARNARSON, B. 1999 Kinetic theory of a binary mixture of nearly elastic disks. Phys. Fluids 11, 3116-3122.
    • (1999) Phys. Fluids , vol.11 , pp. 3116-3122
    • WILLITS, J.T.1    ARNARSON, B.2
  • 56
    • 0037185580 scopus 로고    scopus 로고
    • Measurements of grain motion in a dense, three-dimensional granular fluid
    • YANG, X., HUAN, C., CANDELA, D., MAIR, R. W. & WALSWORTH, R. L. 2002 Measurements of grain motion in a dense, three-dimensional granular fluid. Phys. Rev. Lett. 88, 044301.
    • (2002) Phys. Rev. Lett , vol.88 , pp. 044301
    • YANG, X.1    HUAN, C.2    CANDELA, D.3    MAIR, R.W.4    WALSWORTH, R.L.5
  • 57
    • 21244435468 scopus 로고
    • Kinetic theory for multicomponent dense mixtures of slightly inelastic spherical particles
    • ZAMANKHAN, Z. 1995 Kinetic theory for multicomponent dense mixtures of slightly inelastic spherical particles. Phys. Rev. E 52, 4877-4891.
    • (1995) Phys. Rev. E , vol.52 , pp. 4877-4891
    • ZAMANKHAN, Z.1


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