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Volumn 204, Issue 1, 2010, Pages 11-20

Extension of the kinetic theory of granular flow to include dense quasi-static stresses

Author keywords

Computational fluid dynamics; Fluidized beds; Kinetic theory of granular flow; Quasi static granular flow

Indexed keywords

BUBBLE DIAMETER; BUBBLE SHAPES; CHUTE FLOW; CLOSURE TERM; COMMONLY USED; EULERIAN-EULERIAN; FLUIDIZED BED TECHNOLOGY; GAS-SOLID; GAS-SOLID FLUIDIZED BED; GEOPHYSICAL FLOWS; GRANULAR FLOW MODEL; GRANULAR FLOWS; HIGH SOLID CONCENTRATION; KINETIC THEORY OF GRANULAR FLOW; LONG TERM; MASS BALANCE; NONLINEAR BEHAVIOURS; PARTICLE CONTACTS; PLASTIC INDUSTRY; POROSITY PROFILES; POWER INDUSTRY; PRESSURE DROP MEASUREMENTS; QUASI-STATIC; QUASI-STATIC MODEL; QUASI-STATIC STRESS;

EID: 77956615648     PISSN: 00325910     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.powtec.2010.07.001     Document Type: Article
Times cited : (35)

References (49)
  • 1
    • 0027009975 scopus 로고
    • A comparison of the solutions of some proposed equations of motion of granular materials for fully developed flow down inclined planes
    • Anderson T.B., Jackson R. A comparison of the solutions of some proposed equations of motion of granular materials for fully developed flow down inclined planes. J. Fluid Mech. 1992, 241:145-168.
    • (1992) J. Fluid Mech. , vol.241 , pp. 145-168
    • Anderson, T.B.1    Jackson, R.2
  • 2
    • 57249108660 scopus 로고    scopus 로고
    • Validation study of two continuum granular frictional flow theories
    • Benyahia S. Validation study of two continuum granular frictional flow theories. Ind. Eng. Chem. Res. 2008, 47:8926-8932.
    • (2008) Ind. Eng. Chem. Res. , vol.47 , pp. 8926-8932
    • Benyahia, S.1
  • 3
    • 0031237914 scopus 로고    scopus 로고
    • Eulerian simulation of bubble formation at a jet in a two-dimensional fluidized bed
    • Boemer A., Qi H., Renz U. Eulerian simulation of bubble formation at a jet in a two-dimensional fluidized bed. Int. J. Multiphase Flow 1997, 23(5):927-944.
    • (1997) Int. J. Multiphase Flow , vol.23 , Issue.5 , pp. 927-944
    • Boemer, A.1    Qi, H.2    Renz, U.3
  • 4
    • 0024679787 scopus 로고
    • Porosity distributions in a fluidized bed with an immersed obstacle
    • Bouillard J.X., Lyczkowski R.W., Gidaspow D. Porosity distributions in a fluidized bed with an immersed obstacle. AIChE J. 1989, 35(6):908-922.
    • (1989) AIChE J. , vol.35 , Issue.6 , pp. 908-922
    • Bouillard, J.X.1    Lyczkowski, R.W.2    Gidaspow, D.3
  • 8
    • 10444235040 scopus 로고    scopus 로고
    • Numerical simulation of particulate flow by the Eulerian-Lagrangian and the Eulerian-Eulerian approach with application to a fluidized bed
    • Chiesa M., Mathiesen V., Melheim J.A., Halvorsen B. Numerical simulation of particulate flow by the Eulerian-Lagrangian and the Eulerian-Eulerian approach with application to a fluidized bed. Comput. Chem. Eng. 2005, 29:291-304.
    • (2005) Comput. Chem. Eng. , vol.29 , pp. 291-304
    • Chiesa, M.1    Mathiesen, V.2    Melheim, J.A.3    Halvorsen, B.4
  • 9
    • 0018441375 scopus 로고
    • A discrete numerical model for granular assemblies
    • Cundall P.A., Strack O.D.L. A discrete numerical model for granular assemblies. Geotechnique 1979, 29:47-65.
    • (1979) Geotechnique , vol.29 , pp. 47-65
    • Cundall, P.A.1    Strack, O.D.L.2
  • 10
    • 72049102396 scopus 로고    scopus 로고
    • "Numerical modelling of geophysical granular flows: 1. A comprehensive approach to granular rheologies and geophysical multiphase flows", 5, Q08003, doi:10.1029/2003GC000636
    • Dartevelle, S, (2004), "Numerical modelling of geophysical granular flows: 1. A comprehensive approach to granular rheologies and geophysical multiphase flows", Geochem. Geophys. Geosys. 5, Q08003, doi:10.1029/2003GC000636.
    • (2004) Geochem. Geophys. Geosys.
    • Dartevelle, S.1
  • 11
    • 0025412936 scopus 로고
    • A bubbling fluidization model using kinetic theory of granular flow
    • Ding J., Gidaspow D. A bubbling fluidization model using kinetic theory of granular flow. AIChE J. 1990, 36(4):523-539.
    • (1990) AIChE J. , vol.36 , Issue.4 , pp. 523-539
    • Ding, J.1    Gidaspow, D.2
  • 12
    • 0002127397 scopus 로고
    • Fluid flow through packed columns
    • Ergun S. Fluid flow through packed columns. Chem. Eng. Prog. 1952, 48:89-94.
    • (1952) Chem. Eng. Prog. , vol.48 , pp. 89-94
    • Ergun, S.1
  • 13
    • 3242793355 scopus 로고    scopus 로고
    • Discrete particle simulation of gas fluidization of particle mixtures
    • Feng Y.Q., Xu B.H., Zhang S.J., Yu A.B., Zulli P. Discrete particle simulation of gas fluidization of particle mixtures. AIChE J. 2004, 50:1713-1728.
    • (2004) AIChE J. , vol.50 , pp. 1713-1728
    • Feng, Y.Q.1    Xu, B.H.2    Zhang, S.J.3    Yu, A.B.4    Zulli, P.5
  • 14
    • 33750995265 scopus 로고    scopus 로고
    • Microdynamic modelling and analysis of the mixing and segregation of binary mixtures of particles in gas fluidization
    • Feng Y.Q., Yu A.B. Microdynamic modelling and analysis of the mixing and segregation of binary mixtures of particles in gas fluidization. Chem. Eng. Sci. 2007, 62:256-286.
    • (2007) Chem. Eng. Sci. , vol.62 , pp. 256-286
    • Feng, Y.Q.1    Yu, A.B.2
  • 16
    • 2942544737 scopus 로고    scopus 로고
    • Hydrodynamic modelling of dense gas-fluidised beds: comparison and validation of 3D discrete particle and continuum models
    • Goldschmidt M.J.V., Beetstra R., Kuipers J.A.M. Hydrodynamic modelling of dense gas-fluidised beds: comparison and validation of 3D discrete particle and continuum models. Powder Technol. 2004, 142:23-57.
    • (2004) Powder Technol. , vol.142 , pp. 23-57
    • Goldschmidt, M.J.V.1    Beetstra, R.2    Kuipers, J.A.M.3
  • 17
    • 0002545846 scopus 로고
    • The viscosity of fluidized beds
    • Grace J.R. The viscosity of fluidized beds. Can. J. Chem. Eng. 1970, 48:30-33.
    • (1970) Can. J. Chem. Eng. , vol.48 , pp. 30-33
    • Grace, J.R.1
  • 18
    • 0342300152 scopus 로고
    • On the Constitutive Relations for Frictional Flow of Granular Materials
    • U.S Dept of Energy, Washington, D.C
    • Gray D.D., Stiles J.M. On the Constitutive Relations for Frictional Flow of Granular Materials. Top. Rep. DOE/MC/21353-2584, DE88001089 1988, 29. U.S Dept of Energy, Washington, D.C.
    • (1988) Top. Rep. DOE/MC/21353-2584, DE88001089 , pp. 29
    • Gray, D.D.1    Stiles, J.M.2
  • 19
    • 31744450245 scopus 로고
    • Theoretical Numerical Studies of Constitutive Relations for Frictional Granular Flow
    • U.S Dept of Energy, Washington, D.C
    • Gray D.D., Stiles J.M. Theoretical Numerical Studies of Constitutive Relations for Frictional Granular Flow. Top. Rep. DOE/MC/24207-3009, DE91002089 1991, U.S Dept of Energy, Washington, D.C.
    • (1991) Top. Rep. DOE/MC/24207-3009, DE91002089
    • Gray, D.D.1    Stiles, J.M.2
  • 20
    • 0001572610 scopus 로고
    • A viscous sea ice law as a stochastic average of plasticity
    • Hibler W.D. A viscous sea ice law as a stochastic average of plasticity. J. Geophys. Res. 1977, 82(27):3932-3938.
    • (1977) J. Geophys. Res. , vol.82 , Issue.27 , pp. 3932-3938
    • Hibler, W.D.1
  • 21
    • 0029657217 scopus 로고    scopus 로고
    • Discrete particle simulation of bubble and slug formation in a two-dimensional gas-fluidised bed: a hard-sphere approach
    • Hoomans B.P.B., Kuipers J.A.M., Briels W.J., van Swaaij W.P.M. Discrete particle simulation of bubble and slug formation in a two-dimensional gas-fluidised bed: a hard-sphere approach. Chem. Eng. Sci. 1996, 51(1):99-118.
    • (1996) Chem. Eng. Sci. , vol.51 , Issue.1 , pp. 99-118
    • Hoomans, B.P.B.1    Kuipers, J.A.M.2    Briels, W.J.3    van Swaaij, W.P.M.4
  • 22
    • 0020751294 scopus 로고
    • A theory for the rapid flow of identical smooth, nearly elastic, spherical particles
    • Jenkins J.T., Savage S.B. A theory for the rapid flow of identical smooth, nearly elastic, spherical particles. J. Fluid Mech. 1983, 130:187.
    • (1983) J. Fluid Mech. , vol.130 , pp. 187
    • Jenkins, J.T.1    Savage, S.B.2
  • 23
    • 0025220801 scopus 로고
    • Frictional-collisional equations of motion for particulate flows and their application to chutes
    • Johnson P.C., Nott P., Jackson R. Frictional-collisional equations of motion for particulate flows and their application to chutes. J. Fluid Mech. 1990, 210:501-535.
    • (1990) J. Fluid Mech. , vol.210 , pp. 501-535
    • Johnson, P.C.1    Nott, P.2    Jackson, R.3
  • 24
    • 0023314860 scopus 로고
    • Frictional-collisional constitutive relations for granular materials, with application to plane shearing
    • Johnson P.C., Jackson R. Frictional-collisional constitutive relations for granular materials, with application to plane shearing. J. Fluid Mech. 1987, 176:67-93.
    • (1987) J. Fluid Mech. , vol.176 , pp. 67-93
    • Johnson, P.C.1    Jackson, R.2
  • 25
    • 0037135351 scopus 로고    scopus 로고
    • Discrete particle-continuum fluid modelling for gas-solid fluidized beds
    • Kafui K.D., Thornton C., Admas M.J. Discrete particle-continuum fluid modelling for gas-solid fluidized beds. Chem. Eng. Sci. 2002, 57:2395-2410.
    • (2002) Chem. Eng. Sci. , vol.57 , pp. 2395-2410
    • Kafui, K.D.1    Thornton, C.2    Admas, M.J.3
  • 26
    • 0032080294 scopus 로고    scopus 로고
    • Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two- and three-dimensional models)
    • Kawaguchi T., Tanaka T., Tsuji Y. Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two- and three-dimensional models). Powder Technol. 1998, 96:129-138.
    • (1998) Powder Technol. , vol.96 , pp. 129-138
    • Kawaguchi, T.1    Tanaka, T.2    Tsuji, Y.3
  • 27
    • 0026360446 scopus 로고
    • Theoretical and experimental bubble formation at a single orifice in a two-dimensional gas fluidized bed
    • Kuipers J.A.M., Prins W., Van Swaaij W.P.M. Theoretical and experimental bubble formation at a single orifice in a two-dimensional gas fluidized bed. Chem. Eng. Sci. 1991, 46(11):2881-2894.
    • (1991) Chem. Eng. Sci. , vol.46 , Issue.11 , pp. 2881-2894
    • Kuipers, J.A.M.1    Prins, W.2    Van Swaaij, W.P.M.3
  • 28
    • 77956614451 scopus 로고    scopus 로고
    • "Modeling of dilute and dense dispersed fluid-particle two-phase flows", PhD Thesis, Norway
    • Laux, H., (1998) "Modeling of dilute and dense dispersed fluid-particle two-phase flows", PhD Thesis, Norway. Norwegian Uni. Of Sci. and Tech.
    • (1998) Norwegian Uni. Of Sci. and Tech.
    • Laux, H.1
  • 29
    • 0021642448 scopus 로고
    • Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield
    • Lun K.K., Savage S.B., Jefferey J.And, Chepurniy Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield. J. Fluid Mech. 1984, 140:223-256.
    • (1984) J. Fluid Mech. , vol.140 , pp. 223-256
    • Lun, K.K.1    Savage, S.B.2    Jefferey, J.A.3    Chepurniy4
  • 30
    • 10244257496 scopus 로고    scopus 로고
    • Critical comparison of hydrodynamic models for gas-solid fluidized beds-Part 1: bubbling gas-solid fluidized beds operated with a jet
    • Patil D.J., Van Sint Annaland M., Kuipers J.A.M. Critical comparison of hydrodynamic models for gas-solid fluidized beds-Part 1: bubbling gas-solid fluidized beds operated with a jet. Chem. Eng. Sci. 2005, 60:57-72.
    • (2005) Chem. Eng. Sci. , vol.60 , pp. 57-72
    • Patil, D.J.1    Van Sint Annaland, M.2    Kuipers, J.A.M.3
  • 31
    • 0023825504 scopus 로고
    • Steady compressible flow of granular materials through a wedge shaped hopper: the smooth wall, radial gravity problem
    • Prakash J.R., Rao K.K. Steady compressible flow of granular materials through a wedge shaped hopper: the smooth wall, radial gravity problem. Chem. Eng. Sci. 1988, 43:479-494.
    • (1988) Chem. Eng. Sci. , vol.43 , pp. 479-494
    • Prakash, J.R.1    Rao, K.K.2
  • 32
    • 0032305779 scopus 로고    scopus 로고
    • Analyses of slow high-concentration flows of granular materials
    • Savage S.B. Analyses of slow high-concentration flows of granular materials. J. Fluid Mech. 1998, 377:1-26.
    • (1998) J. Fluid Mech. , vol.377 , pp. 1-26
    • Savage, S.B.1
  • 33
    • 0002197012 scopus 로고
    • Instability in the evolution equations describing incompressible granular flow
    • Schaffer D.G. Instability in the evolution equations describing incompressible granular flow. J. Diff. Equ. 1987, 66:9-50.
    • (1987) J. Diff. Equ. , vol.66 , pp. 9-50
    • Schaffer, D.G.1
  • 34
    • 50549159159 scopus 로고
    • Unregelmässiges Verhalten von Fliessbettsystemen bei rheologischen Messungen
    • Schugerl K., Merz M., Fetting F. Unregelmässiges Verhalten von Fliessbettsystemen bei rheologischen Messungen. Chem. Eng. Sci. 1961, 15(1-2):75-99.
    • (1961) Chem. Eng. Sci. , vol.15 , Issue.1-2 , pp. 75-99
    • Schugerl, K.1    Merz, M.2    Fetting, F.3
  • 35
    • 70349150904 scopus 로고    scopus 로고
    • Numerical simulations of flow behaviour of gas and particles in spouted beds using frictional-kinetic stresses model
    • Shuyan W., Xiang L., Huilin L., Long Y., Dan S., Yurong H., Yonglong D. Numerical simulations of flow behaviour of gas and particles in spouted beds using frictional-kinetic stresses model. Powder Technol. 2009, 196:184-193.
    • (2009) Powder Technol. , vol.196 , pp. 184-193
    • Shuyan, W.1    Xiang, L.2    Huilin, L.3    Long, Y.4    Dan, S.5    Yurong, H.6    Yonglong, D.7
  • 36
  • 37
    • 0037425442 scopus 로고    scopus 로고
    • Analysis of a frictional-kinetic model for gas-particle flow
    • Srivastava A., Sundaresan S. Analysis of a frictional-kinetic model for gas-particle flow. Powder Technol. 2003, 129:72-85.
    • (2003) Powder Technol. , vol.129 , pp. 72-85
    • Srivastava, A.1    Sundaresan, S.2
  • 39
    • 0031171163 scopus 로고    scopus 로고
    • A fluid mechanistic approach to slow, frictional flow of powders
    • Tardos G. A fluid mechanistic approach to slow, frictional flow of powders. Powder Technol. 1997, 92:61-74.
    • (1997) Powder Technol. , vol.92 , pp. 61-74
    • Tardos, G.1
  • 40
    • 0037417109 scopus 로고    scopus 로고
    • Slow intermediate flow of a frictional bulk powder in the Couette geometry
    • Tardos G., McNamara S., Talu I. Slow intermediate flow of a frictional bulk powder in the Couette geometry. Powder Technol. 2003, 131:23-39.
    • (2003) Powder Technol. , vol.131 , pp. 23-39
    • Tardos, G.1    McNamara, S.2    Talu, I.3
  • 41
    • 0027675958 scopus 로고
    • Discrete particle simulation of two-dimensional fluidized bed
    • Tsuji Y., Kawaguchi T., Tanaka T. Discrete particle simulation of two-dimensional fluidized bed. Powder Technol. 1993, 77:79-87.
    • (1993) Powder Technol. , vol.77 , pp. 79-87
    • Tsuji, Y.1    Kawaguchi, T.2    Tanaka, T.3
  • 45
    • 0032437306 scopus 로고    scopus 로고
    • A numerical model for predicting bubble formation in a 3D fluidized bed
    • Witt P.J., Perry J.H., Schwarz M.P. A numerical model for predicting bubble formation in a 3D fluidized bed. Appl. Math. Model. 1998, 22(12):1071-1080.
    • (1998) Appl. Math. Model. , vol.22 , Issue.12 , pp. 1071-1080
    • Witt, P.J.1    Perry, J.H.2    Schwarz, M.P.3
  • 46
    • 0031214812 scopus 로고    scopus 로고
    • Numerical simulation of the gas-solid flow in a fluidised bed by combining discrete particle method with computational fluid dynamics
    • Xu B.H., Yu A.B. Numerical simulation of the gas-solid flow in a fluidised bed by combining discrete particle method with computational fluid dynamics. Chem. Eng. Sci. 1997, 52:2786-2809.
    • (1997) Chem. Eng. Sci. , vol.52 , pp. 2786-2809
    • Xu, B.H.1    Yu, A.B.2
  • 48
    • 0020544070 scopus 로고
    • The flow of granular materials - III - Rapid Shear Flows
    • S.B. Savage, R.M. Nedderman, U. Tuzun, G.T. Houlsby, The flow of granular materials - III - Rapid Shear Flows, Chem. Eng. Sci. 38 (2) (1983) 189-195.
    • (1983) Chem. Eng. Sci. , vol.38 , Issue.2 , pp. 189-195
    • Savage, S.B.1    Nedderman, R.M.2    Tuzun, U.3    Houlsby, G.T.4
  • 49
    • 77956618686 scopus 로고    scopus 로고
    • Development of a numerical model of the flow processes in a fluidised bed, Phd Thesis, Swinburne University of Technology, Melbourne
    • P. Witt, Development of a numerical model of the flow processes in a fluidised bed, Phd Thesis, Swinburne University of Technology, Melbourne, 1997.
    • (1997)
    • Witt, P.1


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