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Volumn 42, Issue 4, 1999, Pages 573-585

Some considerations on the modeling of disperse multiphase flows by averaged equations

Author keywords

Bubbly Liquids; Disperse Flows; Multiphase Flow; Stability; Suspensions Ensemble Averaging

Indexed keywords

BUBBLY FLOW; MATHEMATICAL MODELING; MULTIPHASE FLOW; STABILITY;

EID: 0033232750     PISSN: 13408054     EISSN: None     Source Type: Journal    
DOI: 10.1299/jsmeb.42.573     Document Type: Article
Times cited : (11)

References (50)
  • 1
    • 0000301079 scopus 로고
    • Bulk conductivity of composites with spherical inclusions
    • Sangani, A.S. and Yao, C., Bulk Conductivity of Composites with Spherical Inclusions. J. Appl. Phys., Vol. 63 (1988), p. 1334-1341.
    • (1988) J. Appl. Phys. , vol.63 , pp. 1334-1341
    • Sangani, A.S.1    Yao, C.2
  • 2
    • 0027951834 scopus 로고
    • A method for computing stokes flow interactions among spherical objects and its application to suspensions of drops and porous particles
    • Mo, G. and Sangani, A.S., A Method for Computing Stokes Flow Interactions among Spherical Objects and Its Application to Suspensions of Drops and Porous Particles. Phys. Fluids, Vol. 6 (1994), p. 1637-1652.
    • (1994) Phys. Fluids , vol.6 , pp. 1637-1652
    • Mo, G.1    Sangani, A.S.2
  • 4
    • 0028039603 scopus 로고
    • The rheology of bimodal hard-sphere dispersions
    • Chang, C.C. and Powell, R.L., The Rheology of Bimodal Hard-Sphere Dispersions. Phys. Fluids, Vol. 6 (1994), p. 1628-1636.
    • (1994) Phys. Fluids , vol.6 , pp. 1628-1636
    • Chang, C.C.1    Powell, R.L.2
  • 5
    • 0028039603 scopus 로고
    • Self-diffusion of bimodal suspensions of hydrodynamically interacting spherical particles in shearing flow
    • Chang, C.C. and Powell, R.L., Self-diffusion of Bimodal Suspensions of Hydrodynamically Interacting Spherical Particles in Shearing Flow. Phys. Fluids, Vol. 6 (1994), p. 1628-1636.
    • (1994) Phys. Fluids , vol.6 , pp. 1628-1636
    • Chang, C.C.1    Powell, R.L.2
  • 7
    • 0029104943 scopus 로고
    • Stokes drag on conglomerates of spheres
    • Cichocki, B. and Hinsen, K., Stokes Drag on Conglomerates of Spheres. Phys. Fluids, Vol. 7 (1995), p. 285-291.
    • (1995) Phys. Fluids , vol.7 , pp. 285-291
    • Cichocki, B.1    Hinsen, K.2
  • 8
    • 36449008138 scopus 로고
    • Dynamical simulations of sedimenting spheres
    • Ladd, A.J.C., Dynamical Simulations of Sedimenting Spheres. Phys. Fluids, Vol. 5 (1993), p. 299-310.
    • (1993) Phys. Fluids , vol.5 , pp. 299-310
    • Ladd, A.J.C.1
  • 9
    • 0028078553 scopus 로고
    • Computer simulation study of the effective viscosity in Brinkman's equation
    • Martys, N., Bentz, D.P. and Garboczi, E.J., Computer Simulation Study of the Effective Viscosity in Brinkman's Equation. Phys. Fluids, Vol. 6 (1994), p. 1434-1439.
    • (1994) Phys. Fluids , vol.6 , pp. 1434-1439
    • Martys, N.1    Bentz, D.P.2    Garboczi, E.J.3
  • 10
    • 0028501577 scopus 로고
    • Pressure-driven flow of suspensions: Simulation and theory
    • Nott, P.R. and Brady, J.F., Pressure-Driven Flow of Suspensions: Simulation and Theory. J. Fluid Mech., Vol. 275 (1994), p. 157-199.
    • (1994) J. Fluid Mech. , vol.275 , pp. 157-199
    • Nott, P.R.1    Brady, J.F.2
  • 11
    • 0028112140 scopus 로고
    • Inclusion of lubrication forces in dynamic simulations
    • Sangani, A.S. and Mo, G.B., Inclusion of Lubrication Forces in Dynamic Simulations. Phys. Fluids, Vol. A6 (1994), p. 1653-1662.
    • (1994) Phys. Fluids , vol.A6 , pp. 1653-1662
    • Sangani, A.S.1    Mo, G.B.2
  • 12
    • 0027470871 scopus 로고
    • Dynamic simulations of flows of bubbly liquids at large reynolds numbers
    • Sangani, A.S. and Didwania, A.K., Dynamic Simulations of Flows of Bubbly Liquids at Large Reynolds Numbers. J. Fluid Mech., Vol. 250 (1993), p. 307-337.
    • (1993) J. Fluid Mech. , vol.250 , pp. 307-337
    • Sangani, A.S.1    Didwania, A.K.2
  • 13
    • 0030127099 scopus 로고    scopus 로고
    • Simple shear flow of dense gas-solid suspensions at finite stokes numbers
    • Sangani, A.S., Mo, G.B., Tsao, H.K. and Koch, D. L., Simple Shear Flow of Dense Gas-Solid Suspensions at Finite Stokes Numbers. J. Fluid Mech., Vol. 313 (1996), p. 309-341.
    • (1996) J. Fluid Mech. , vol.313 , pp. 309-341
    • Sangani, A.S.1    Mo, G.B.2    Tsao, H.K.3    Koch, D.L.4
  • 16
    • 84985607750 scopus 로고
    • Numerical aspects of the SIMMER-II code
    • A.V. Jones, editor, Harwood Academic Publishers, London
    • Prosperetti, A., Numerical Aspects of the SIMMER-II Code, In A.V. Jones, editor, Multiphase Processes in LMFBR Safety Analysis, (1984), p. 197-224, Harwood Academic Publishers, London.
    • (1984) Multiphase Processes in LMFBR Safety Analysis , pp. 197-224
    • Prosperetti, A.1
  • 17
    • 0022025070 scopus 로고
    • On the suitability of first-order differential models for two-phase flow prediction
    • Jones, A.V. and Prosperetti, A., On the Suitability of First-order Differential Models for Two-phase Flow Prediction. Int. J. Multiphase Flow, Vol. 11 (1985), p. 133-148.
    • (1985) Int. J. Multiphase Flow , vol.11 , pp. 133-148
    • Jones, A.V.1    Prosperetti, A.2
  • 18
    • 0011051065 scopus 로고
    • Stability of two-phase flow models
    • D.D. Joseph and D.G. Schaeffer, editors, Springer
    • Prosperetti, A. and Satrape, J.V., Stability of Two-phase Flow Models. In D.D. Joseph and D.G. Schaeffer, editors, Two Phase Flows and Waves, (1990), p. 98-117. Springer.
    • (1990) Two Phase Flows and Waves , pp. 98-117
    • Prosperetti, A.1    Satrape, J.V.2
  • 19
    • 0023312847 scopus 로고
    • The linear stability of general two-phase flow models - II
    • Prosperetti, A. and Jones, A.V., The Linear Stability of General Two-phase Flow Models - II. Int. J. Multiphase Flow, Vol. 13 (1987), p. 161-171.
    • (1987) Int. J. Multiphase Flow , vol.13 , pp. 161-171
    • Prosperetti, A.1    Jones, A.V.2
  • 20
    • 0028431170 scopus 로고
    • Averaged equations for inviscid disperse two-phase flow
    • Zhang, D.Z. and Prosperetti, A., Averaged Equations for Inviscid Disperse Two-Phase Flow. J. Fluid Mech., Vol. 267 (1994), p. 185-219.
    • (1994) J. Fluid Mech. , vol.267 , pp. 185-219
    • Zhang, D.Z.1    Prosperetti, A.2
  • 21
    • 0028036044 scopus 로고
    • Ensemble phase-averaged equations for bubbly flows
    • Zhang, D.Z. and Prosperetti, A., Ensemble Phase-averaged Equations for Bubbly Flows. Phys. Fluids, Vol. 6 (1994), p. 2956-2970.
    • (1994) Phys. Fluids , vol.6 , pp. 2956-2970
    • Zhang, D.Z.1    Prosperetti, A.2
  • 22
    • 0031172149 scopus 로고    scopus 로고
    • Momentum and energy equations for disperse two-phase flows and their closure for dilute suspensions
    • Zhang, D.Z. and Prosperetti, A., Momentum and Energy Equations for Disperse Two-Phase Flows and Their Closure for Dilute Suspensions. Int. J. Multiphase Flow, Vol. 23 (1997), p. 425-453.
    • (1997) Int. J. Multiphase Flow , vol.23 , pp. 425-453
    • Zhang, D.Z.1    Prosperetti, A.2
  • 24
    • 0020547826 scopus 로고
    • Theories of immiscible and structured mixtures
    • Bedford, A. and Drumheller, D.S., Theories of Immiscible and Structured Mixtures. Int. J. Engng. Sci., Vol. 21 (1983), p. 863-960.
    • (1983) Int. J. Engng. Sci. , vol.21 , pp. 863-960
    • Bedford, A.1    Drumheller, D.S.2
  • 26
    • 0015077923 scopus 로고
    • Averaged field equations for two-phase media
    • Drew, D.A., Averaged Field Equations for Two-phase Media. Studies in Appl. Math., Vol. 50 (1971), p. 133-166.
    • (1971) Studies in Appl. Math. , vol.50 , pp. 133-166
    • Drew, D.A.1
  • 27
    • 33947335754 scopus 로고
    • A fluid mechanical description of fluidized beds
    • Anderson, T.B. and Jackson, R., A Fluid Mechanical Description of Fluidized Beds. I & EC Fundamentals, Vol. 6 (1967), p. 527-539.
    • (1967) I & EC Fundamentals , vol.6 , pp. 527-539
    • Anderson, T.B.1    Jackson, R.2
  • 28
    • 0018533050 scopus 로고
    • Spatial averaging in the mechanics of heterogeneous and dispersed systems
    • Nigmatulin, R.I., Spatial Averaging in the Mechanics of Heterogeneous and Dispersed Systems. Int. J. Multiphase Flow, Vol. 5 (1979), p. 353-385.
    • (1979) Int. J. Multiphase Flow , vol.5 , pp. 353-385
    • Nigmatulin, R.I.1
  • 30
    • 0020547432 scopus 로고
    • Mathematical modeling of two-phase flow
    • Drew, D.A., Mathematical Modeling of Two-Phase Flow. Ann. Rev. Fluid Mech., Vol. 15 (1983), p. 261-291.
    • (1983) Ann. Rev. Fluid Mech. , vol.15 , pp. 261-291
    • Drew, D.A.1
  • 31
    • 0023744269 scopus 로고
    • A new theory of the instability of a uniform fluidized bed
    • Batchelor, G.K., A New Theory of the Instability of a Uniform Fluidized Bed. J. Fluid Mech., Vol. 193 (1988), p. 75-110.
    • (1988) J. Fluid Mech. , vol.193 , pp. 75-110
    • Batchelor, G.K.1
  • 32
    • 0027390143 scopus 로고
    • On the two-way interaction between homogeneous turbulence and dispersed solid particles, I: Turbulence modification
    • Elghobashi, S. and Truesdell, G.C., On the Two-Way Interaction between Homogeneous Turbulence and Dispersed Solid Particles, I: Turbulence Modification. Phys. Fluids, Vol. A5 (1993), p. 1790-1801.
    • (1993) Phys. Fluids , vol.A5 , pp. 1790-1801
    • Elghobashi, S.1    Truesdell, G.C.2
  • 33
    • 0030107405 scopus 로고    scopus 로고
    • Particle dispersion in flowing gases
    • Stock, D.E., Particle Dispersion in Flowing Gases. J. Fluids Engr., Vol. 118 (1996), p. 4-17.
    • (1996) J. Fluids Engr. , vol.118 , pp. 4-17
    • Stock, D.E.1
  • 34
    • 0032022692 scopus 로고    scopus 로고
    • Direct numerical simulation of bubble-laden turbulent flows using the two-fluid formulation
    • Druzhinin, O.A. and Elghobashi, S., Direct Numerical Simulation of Bubble-Laden Turbulent Flows Using the Two-Fluid Formulation. Phys. Fluids, Vol. 10 (1998), p. 685-697.
    • (1998) Phys. Fluids , vol.10 , pp. 685-697
    • Druzhinin, O.A.1    Elghobashi, S.2
  • 35
    • 0021475597 scopus 로고
    • Pressure forces in disperse two-phase flows
    • Prosperetti, A. and Jones, A.V., Pressure Forces in Disperse Two-Phase Flows. Int. J. Multiphase Flow, Vol. 10 (1984), p. 425-440.
    • (1984) Int. J. Multiphase Flow , vol.10 , pp. 425-440
    • Prosperetti, A.1    Jones, A.V.2
  • 37
    • 0021517501 scopus 로고
    • Two-phase flow equations for a dilute dispersion of gas bubbles in liquid
    • Biesheuvel, A. and van Wijngaarden, L., Two-phase Flow Equations for a Dilute Dispersion of Gas Bubbles in Liquid. J. Fluid Mech., Vol. 148 (1984), p. 301-318.
    • (1984) J. Fluid Mech. , vol.148 , pp. 301-318
    • Biesheuvel, A.1    Van Wijngaarden, L.2
  • 38
    • 0026254505 scopus 로고
    • The averaged bernoulli equation and macroscopic equations of motion for the potential flow of a two-phase dispersion
    • Wallis, G.B., The Averaged Bernoulli Equation and Macroscopic Equations of Motion for the Potential Flow of a Two-Phase Dispersion. Int. J. Multiphase Flow, Vol. 17 (1991), p. 683-695.
    • (1991) Int. J. Multiphase Flow , vol.17 , pp. 683-695
    • Wallis, G.B.1
  • 39
    • 0003131308 scopus 로고
    • Analytical modeling of multiphase flow
    • Roco, M.C., editor, Butterworth-Heinemann, Boston
    • Drew, D.A. and Lahey, R.T. Jr., Analytical Modeling of Multiphase Flow. In Roco, M.C., editor, Particulate Two-Phase Flow, (1993), p. 509-566. Butterworth-Heinemann, Boston.
    • (1993) Particulate Two-Phase Flow , pp. 509-566
    • Drew, D.A.1    Lahey R.T., Jr.2
  • 40
    • 0343980390 scopus 로고
    • Effect of particle velocity fluctuations in particle-fluid flows
    • Drew, D.A., Effect of Particle Velocity Fluctuations in Particle-Fluid Flows. Physica, Vol. A179 (1991), p. 69-80.
    • (1991) Physica , vol.A179 , pp. 69-80
    • Drew, D.A.1
  • 41
    • 0024142881 scopus 로고
    • The force exerted on a body in inviscid unsteady non-uniform rotational flow
    • Auton, T.R., Hunt, J.C.R. and Prud'homme, M., The Force Exerted on a Body in Inviscid Unsteady Non-Uniform Rotational Flow. J. Fluid Mech., Vol. 197 (1988), p. 241-257.
    • (1988) J. Fluid Mech. , vol.197 , pp. 241-257
    • Auton, T.R.1    Hunt, J.C.R.2    Prud'homme, M.3
  • 42
    • 0342995303 scopus 로고    scopus 로고
    • Ensemble averaging techniques for disperse flows
    • D. Drew, D.D. Joseph, and S.L. Passman, editors, Springer
    • Prosperetti, A., Ensemble Averaging Techniques for Disperse Flows. In D. Drew, D.D. Joseph, and S.L. Passman, editors, Particulate Flows: Processing and Rheology, (1998), p. 99-136. Springer.
    • (1998) Particulate Flows: Processing and Rheology , pp. 99-136
    • Prosperetti, A.1
  • 43
    • 0022044855 scopus 로고
    • Effective equations for wave propagation in bubbly liquids
    • Caflisch, R.E., Miksis, M.J., Papanicolaou, G. and Ting, L., Effective Equations for Wave Propagation in Bubbly Liquids. J. Fluid Mech., Vol. 153 (1985), p. 259-273.
    • (1985) J. Fluid Mech. , vol.153 , pp. 259-273
    • Caflisch, R.E.1    Miksis, M.J.2    Papanicolaou, G.3    Ting, L.4
  • 44
    • 0027531162 scopus 로고
    • Dispersed-phase stress tensor in flows of bubbly liquids at large reynolds numbers
    • Sangani, A.S. and Didwania, A.K., Dispersed-Phase Stress Tensor in Flows of Bubbly Liquids at Large Reynolds Numbers. J. Fluid Mech., Vol. 248 (1993), p. 27-54.
    • (1993) J. Fluid Mech. , vol.248 , pp. 27-54
    • Sangani, A.S.1    Didwania, A.K.2
  • 45
    • 0343980389 scopus 로고    scopus 로고
    • PhD Thesis, University of Twente, AE 7500 Enschede, The Netherlands
    • Bulthuis, H.E., Dynamics of Bubbly Flows. PhD Thesis, University of Twente, AE 7500 Enschede, The Netherlands, (1997).
    • (1997) Dynamics of Bubbly Flows
    • Bulthuis, H.E.1
  • 47
    • 85038040223 scopus 로고    scopus 로고
    • Flow of spatially non-uniform suspensions, part II: An approach to the closure of the averaged equations
    • submitted
    • Marchioro, M., Tanksley, M. and Prosperetti, A., Flow of Spatially Non-uniform Suspensions, Part II: An Approach to the Closure of the Averaged Equations. Int. J. Multiphase Flow, submitted.
    • Int. J. Multiphase Flow
    • Marchioro, M.1    Tanksley, M.2    Prosperetti, A.3
  • 48
    • 0024626110 scopus 로고
    • Modeling the solid phase stress in a fluid-solid mixture
    • Hwang, G.J. and Shen, H.H., Modeling the Solid Phase Stress in a Fluid-Solid Mixture. Int. J. Multiphase Flow, Vol. 15 (1989), p. 257-268.
    • (1989) Int. J. Multiphase Flow , vol.15 , pp. 257-268
    • Hwang, G.J.1    Shen, H.H.2
  • 49
    • 0029656985 scopus 로고    scopus 로고
    • Disperse phase stress in two-phase flow
    • Prosperetti, A. and Zhang, D.Z., Disperse Phase Stress in Two-Phase Flow. Chem. Eng. Comm., Vol. 141-142 (1996), p. 387-398.
    • (1996) Chem. Eng. Comm. , vol.141-142 , pp. 387-398
    • Prosperetti, A.1    Zhang, D.Z.2
  • 50
    • 84935878905 scopus 로고
    • Sedimentation in a dilute dispersion of spheres
    • Batchelor, G.K., Sedimentation in a Dilute Dispersion of Spheres. J. Fluid Mech., Vol. 52 (1972), p. 245-268.
    • (1972) J. Fluid Mech. , vol.52 , pp. 245-268
    • Batchelor, G.K.1


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