메뉴 건너뛰기




Volumn 377, Issue , 1998, Pages 313-345

Direct numerical simulations of bubbly flows. Part 1. Low Reynolds number arrays

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FLOW INTERACTIONS; NAVIER STOKES EQUATIONS; PHASE INTERFACES; REYNOLDS NUMBER; SURFACE TENSION; VOLUME FRACTION;

EID: 0032307143     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098003176     Document Type: Article
Times cited : (229)

References (69)
  • 1
    • 3342981375 scopus 로고
    • MUDPACK: Multigrid FORTRAN software for the efficient solution of linear elliptic partial differential equations
    • ADAMS, J. 1989 MUDPACK: Multigrid FORTRAN software for the efficient solution of linear elliptic partial differential equations. . Appl. Maths Comput. 34, 113 146.
    • (1989) Appl. Maths Comput. , vol.34 , pp. 113-146
    • Adams, J.1
  • 2
    • 84935878905 scopus 로고
    • Sedimentation in a dilute dispersion of spheres
    • BATCHELOR, G. K. 1972 Sedimentation in a dilute dispersion of spheres. J. Fluid Mech. 52, 245-268.
    • (1972) J. Fluid Mech. , vol.52 , pp. 245-268
    • Batchelor, G.K.1
  • 3
    • 0020140472 scopus 로고
    • Sedimentation in a dilute polydisperse system of interacting spheres. Part 1. General theory
    • BATCHELOR, G. K. 1982 Sedimentation in a dilute polydisperse system of interacting spheres. Part 1. General theory. J. Fluid Mech. 119, 379-408.
    • (1982) J. Fluid Mech. , vol.119 , pp. 379-408
    • Batchelor, G.K.1
  • 4
    • 0021517501 scopus 로고
    • Two-phase flow equations for a dilute dispersion of gas bubbles in liquid
    • BIESHEUVEL, A. & WIJNGAARDEN, L. VAN 1984 Two-phase flow equations for a dilute dispersion of gas bubbles in liquid. J. Fluid Mech. 148, 301-318.
    • (1984) J. Fluid Mech. , vol.148 , pp. 301-318
    • Biesheuvel, A.1    Van Wijngaarden, L.2
  • 5
    • 28144462923 scopus 로고
    • A continuum method for modeling surface tension
    • BRACKBILL, J. U., KOTHE, D. B. & ZEMACH, C. 1992 A continuum method for modeling surface tension. J. Comput. Phys. 100, 335-354.
    • (1992) J. Comput. Phys. , vol.100 , pp. 335-354
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 7
    • 0022269123 scopus 로고
    • Variance in the sedimenting speed of suspensions
    • CAFLISCH, R. E. & LUKE, J. H. C. 1985 Variance in the sedimenting speed of suspensions. Phys. Fluids 28, 759-760.
    • (1985) Phys. Fluids , vol.28 , pp. 759-760
    • Caflisch, R.E.1    Luke, J.H.C.2
  • 10
    • 0022182635 scopus 로고
    • Sedimentation of noncolloidal particles at low Reynolds numbers
    • DAVIS, R. H. & ACRIVOS, A. 1985 Sedimentation of noncolloidal particles at low Reynolds numbers. Ann. Rev. Fluid Mech. 17, 91-118.
    • (1985) Ann. Rev. Fluid Mech. , vol.17 , pp. 91-118
    • Davis, R.H.1    Acrivos, A.2
  • 11
    • 0020547432 scopus 로고
    • Mathematical modeling of two-phase flow
    • DREW, D. A. 1983 Mathematical modeling of two-phase flow. Ann. Rev. Fluid Mech. 15, 261-291.
    • (1983) Ann. Rev. Fluid Mech. , vol.15 , pp. 261-291
    • Drew, D.A.1
  • 12
    • 0003131308 scopus 로고
    • Analytical modeling of multiphase flow
    • ed. M. C. Roco, Butterworth
    • DREW, D. A. & LAHEY, R. T. JR. 1993 Analytical modeling of multiphase flow. In Partculate Two-Phase Flow (ed. M. C. Roco), pp. 509-566. Butterworth.
    • (1993) Partculate Two-Phase Flow , pp. 509-566
    • Drew, D.A.1    Lahey Jr., R.T.2
  • 13
    • 0027390143 scopus 로고
    • On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification
    • ELGHOBASHI, S. & TRUESDELL, G. C. 1993 On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification. Phys. Fluids A 15, 1790-1801.
    • (1993) Phys. Fluids A , vol.15 , pp. 1790-1801
    • Elghobashi, S.1    Truesdell, G.C.2
  • 15
    • 0030149750 scopus 로고    scopus 로고
    • An inverse energy cascade in two-dimensional, low Reynolds number bubbly flows
    • ESMAEELI, A. & TRYGGVASON, G. 1996 An inverse energy cascade in two-dimensional, low Reynolds number bubbly flows. J. Fluid Mech. 314, 315-330.
    • (1996) J. Fluid Mech. , vol.314 , pp. 315-330
    • Esmaeeli, A.1    Tryggvason, G.2
  • 16
    • 0032682394 scopus 로고    scopus 로고
    • Direct numerical simulations of bubbly flows. Part 2. Moderate Reynolds number arrays
    • to appear
    • ESMAEELI, A. & TRYGGVASON, G. 1999 Direct numerical simulations of bubbly flows. Part 2. Moderate Reynolds number arrays. J. Fluid Mech. (to appear).
    • (1999) J. Fluid Mech.
    • Esmaeeli, A.1    Tryggvason, G.2
  • 17
    • 0028160288 scopus 로고
    • Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 1. Sedimentation
    • FENG, J., HU, H. H. & JOSEPH, D. D. 1994 Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 1. Sedimentation. J. Fluid Mech. 261, 95-134.
    • (1994) J. Fluid Mech. , vol.261 , pp. 95-134
    • Feng, J.1    Hu, H.H.2    Joseph, D.D.3
  • 18
    • 0028519593 scopus 로고
    • Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiscuille flows
    • FENG, J., HU, H. H. & JOSEPH, D. D. 1995 Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiscuille flows. J. Fluid Mech. 277, 271-301.
    • (1995) J. Fluid Mech. , vol.277 , pp. 271-301
    • Feng, J.1    Hu, H.H.2    Joseph, D.D.3
  • 19
    • 0023141731 scopus 로고
    • Nonlinear mechanics of fluidization of beds of spherical particles
    • FORTES, A., JOSEPH, D. D. & LUNDGREN, T. 1987 Nonlinear mechanics of fluidization of beds of spherical particles. J. Fluid Mech. 177, 467-483.
    • (1987) J. Fluid Mech. , vol.177 , pp. 467-483
    • Fortes, A.1    Joseph, D.D.2    Lundgren, T.3
  • 20
    • 0026406460 scopus 로고
    • Nonlinear and stochastic phenomena: The grand challenge for partial differential equations
    • GLIMM, J. 1991 Nonlinear and stochastic phenomena: The grand challenge for partial differential equations. SIAM Rev. 33, 625-643.
    • (1991) SIAM Rev. , vol.33 , pp. 625-643
    • Glimm, J.1
  • 21
    • 1542408869 scopus 로고
    • Sedimentation in dilute dispersion of small drops of various sizes
    • HABER, S. & HETSRONI, G. 1981 Sedimentation in dilute dispersion of small drops of various sizes. J. Colloid Interface Sci. 79, 56-74.
    • (1981) J. Colloid Interface Sci. , vol.79 , pp. 56-74
    • Haber, S.1    Hetsroni, G.2
  • 23
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surfaces
    • HARLOW, F. H. & WELCH, J. E. 1965 Numerical calculation of time-dependent viscous incompressible flow of fluid with free surfaces. Phys. Fluids 8, 2182-2189.
    • (1965) Phys. Fluids , vol.8 , pp. 2182-2189
    • Harlow, F.H.1    Welch, J.E.2
  • 24
    • 84886764942 scopus 로고
    • On the periodic fundamental solution of the Stokes equations and their application to viscous flow past a cubic array of spheres
    • HASIMOTO, H. 1959 On the periodic fundamental solution of the Stokes equations and their application to viscous flow past a cubic array of spheres. J. Fluid Mech. 5, 317-328.
    • (1959) J. Fluid Mech. , vol.5 , pp. 317-328
    • Hasimoto, H.1
  • 25
    • 0019367877 scopus 로고
    • Volume of fluid (VOF) method for the dynamics of free boundaries
    • HIRT, C. W. & NICHOLS, B. D. 1981 Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39, 201-226.
    • (1981) J. Comput. Phys. , vol.39 , pp. 201-226
    • Hirt, C.W.1    Nichols, B.D.2
  • 26
    • 0030111555 scopus 로고    scopus 로고
    • Direct simulation of flows of liquid-solid mixtures
    • HU, H. H. 1996 Direct simulation of flows of liquid-solid mixtures. Intl J. Multiphase Flow 22, 335-352.
    • (1996) Intl J. Multiphase Flow , vol.22 , pp. 335-352
    • Hu, H.H.1
  • 28
    • 0018515453 scopus 로고
    • Drag coefficient and relative velocity in bubbly, droplet or particulate flows
    • ISHII, M. & ZUBER, N. 1979 Drag coefficient and relative velocity in bubbly, droplet or particulate flows. AIChE J. 25, 843-855.
    • (1979) AIChE J. , vol.25 , pp. 843-855
    • Ishii, M.1    Zuber, N.2
  • 30
    • 0031171755 scopus 로고    scopus 로고
    • 3D simulation of fluid-particle interactions with the number of particles reaching 100
    • JOHNSON, A. A. & TEZDUYAR, T. E. 1997 3D simulation of fluid-particle interactions with the number of particles reaching 100. Comput. Methods Appl. Mech. Engng 145, 301-321.
    • (1997) Comput. Methods Appl. Mech. Engng , vol.145 , pp. 301-321
    • Johnson, A.A.1    Tezduyar, T.E.2
  • 31
    • 0028372579 scopus 로고
    • Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flows
    • KENNEDY, M. R., POZRIKIDIS, C. & SKALAK, R. 1994 Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flows. Computers Fluids 23, 251-278.
    • (1994) Computers Fluids , vol.23 , pp. 251-278
    • Kennedy, M.R.1    Pozrikidis, C.2    Skalak, R.3
  • 32
    • 0027392351 scopus 로고
    • Three-dimensional flow over two spheres placed side by side
    • KIM, I., ELGHOBASHI, S. & SIRIGNANO, W. A. 1993 Three-dimensional flow over two spheres placed side by side. J. Fluid Mech. 246, 465-488.
    • (1993) J. Fluid Mech. , vol.246 , pp. 465-488
    • Kim, I.1    Elghobashi, S.2    Sirignano, W.A.3
  • 33
    • 0027531424 scopus 로고
    • Hydrodynamic diffusion in dilute sedimenting suspensions at moderate Reynolds numbers
    • KOCH, D. L. 1993 Hydrodynamic diffusion in dilute sedimenting suspensions at moderate Reynolds numbers. Phys. Fluids A 5, 1141-1155.
    • (1993) Phys. Fluids A , vol.5 , pp. 1141-1155
    • Koch, D.L.1
  • 34
    • 0026359472 scopus 로고
    • Screening in sedimenting suspensions
    • KOCH, D. L. & SHAQFEH, E. S. G. 1991 Screening in sedimenting suspensions. J. Fluid Mech. 224, 275-303.
    • (1991) J. Fluid Mech. , vol.224 , pp. 275-303
    • Koch, D.L.1    Shaqfeh, E.S.G.2
  • 35
    • 36449008138 scopus 로고
    • Dynamical simulations of sedimenting spheres
    • LADD, A. J. C 1993 Dynamical simulations of sedimenting spheres. Phys. Fluids A 5, 299-310.
    • (1993) Phys. Fluids A , vol.5 , pp. 299-310
    • Ladd, A.J.C.1
  • 36
    • 0030745218 scopus 로고    scopus 로고
    • Sedimentation of homogeneous suspensions of non-Brownian spheres
    • LADD, A. J. C. 1997 Sedimentation of homogeneous suspensions of non-Brownian spheres. Phys. Fluids 9, 491-499.
    • (1997) Phys. Fluids , vol.9 , pp. 491-499
    • Ladd, A.J.C.1
  • 39
    • 0026005481 scopus 로고
    • Turbulence in the liquid phase of a uniform bubbly air-water flow
    • LANCE, M. & BATAILLE, J. 1991 Turbulence in the liquid phase of a uniform bubbly air-water flow. J. Fluid Mech. 222, 95-118.
    • (1991) J. Fluid Mech. , vol.222 , pp. 95-118
    • Lance, M.1    Bataille, J.2
  • 40
    • 0030207760 scopus 로고    scopus 로고
    • Numerical simulation of a concentrated emulsion in shear flow
    • LOEWENBERG, M. & HINCH, E. J. 1996 Numerical simulation of a concentrated emulsion in shear flow. J. Fluid Mech. 321, 395-419.
    • (1996) J. Fluid Mech. , vol.321 , pp. 395-419
    • Loewenberg, M.1    Hinch, E.J.2
  • 41
    • 0030691568 scopus 로고    scopus 로고
    • The force acting on bubbles and rigid particles
    • Summer Meeting, June 22-26 (FEDSM97-3522)
    • MAGNAUDET, J. J. M. 1997 The force acting on bubbles and rigid particles. ASME FED Summer Meeting, June 22-26 (FEDSM97-3522).
    • (1997) ASME FED
    • Magnaudet, J.J.M.1
  • 42
    • 0001206701 scopus 로고
    • Buoyancy-driven interactions between deformable drops at low Reynolds numbers
    • MANGA, M. & STONE, H. A. 1993 Buoyancy-driven interactions between deformable drops at low Reynolds numbers. J. Fluid Mech. 256, 647-683.
    • (1993) J. Fluid Mech. , vol.256 , pp. 647-683
    • Manga, M.1    Stone, H.A.2
  • 43
    • 0009397950 scopus 로고    scopus 로고
    • Time-marching cfd simulation for moving boundary problems
    • June 24-28, Trondheim, Norway
    • MIYATA, H. 1996 Time-marching cfd simulation for moving boundary problems. 21st symposium on naval hydrodynamics, June 24-28, Trondheim, Norway, pp. 1-21.
    • (1996) 21st Symposium on Naval Hydrodynamics , pp. 1-21
    • Miyata, H.1
  • 44
    • 0026864161 scopus 로고
    • Particle-generated turbulence in homogeneous dilute dispersed flows
    • MIZUKAMI, M., PARTHASARATHY, R. N. & FAETH, G. M. 1992 Particle-generated turbulence in homogeneous dilute dispersed flows. Intl J. Multiphase Flow 18, 397-412.
    • (1992) Intl J. Multiphase Flow , vol.18 , pp. 397-412
    • Mizukami, M.1    Parthasarathy, R.N.2    Faeth, G.M.3
  • 45
    • 0028976830 scopus 로고
    • Effect of vessel size on the hydrodynamics diffusion of sedimenting spheres
    • NICOLAI, H. & GUAZZELLI, E. 1995 Effect of vessel size on the hydrodynamics diffusion of sedimenting spheres. Phys. Fluids 7, 3-5.
    • (1995) Phys. Fluids , vol.7 , pp. 3-5
    • Nicolai, H.1    Guazzelli, E.2
  • 46
    • 0027009844 scopus 로고
    • Numerical simulations of polydisperse sedimentation: Equal-sized spheres
    • REVAY, J. M. & HIGDON, J. J. L. 1992 Numerical simulations of polydisperse sedimentation: equal-sized spheres. J. Fluid Mech. 243, 15-32.
    • (1992) J. Fluid Mech. , vol.243 , pp. 15-32
    • Revay, J.M.1    Higdon, J.J.L.2
  • 48
    • 0021517185 scopus 로고
    • Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid
    • RYSKIN, G. & LEAL, L. G. 1984 Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid. J. Fluid Mech. 148, 19-35.
    • (1984) J. Fluid Mech. , vol.148 , pp. 19-35
    • Ryskin, G.1    Leal, L.G.2
  • 49
    • 0013168839 scopus 로고
    • Sedimentation in ordered emulsions of drops at low Reynolds number
    • SANGANI, A. S. 1988 Sedimentation in ordered emulsions of drops at low Reynolds number. Z. Angew. Maths Phys. 38, 542-555.
    • (1988) Z. Angew. Maths Phys. , vol.38 , pp. 542-555
    • Sangani, A.S.1
  • 50
    • 0020148179 scopus 로고
    • Slow flow past periodic arrays of cylinders with application to heat Transfer
    • SANGANI, A. S. & ACRIVOS, A. 1982« Slow flow past periodic arrays of cylinders with application to heat Transfer. Intl J. Multiphase Flow 8, 193-206.
    • (1982) Intl J. Multiphase Flow , vol.8 , pp. 193-206
    • Sangani, A.S.1    Acrivos, A.2
  • 51
    • 0020169176 scopus 로고
    • Slow flow through a periodic arrays of spheres
    • SANGANI, A. S. & ACRIVOS, A. 1982b Slow flow through a periodic arrays of spheres. Intl J. Multiphase Flow 8, 343-360.
    • (1982) Intl J. Multiphase Flow , vol.8 , pp. 343-360
    • Sangani, A.S.1    Acrivos, A.2
  • 52
    • 0020738363 scopus 로고
    • Creeping flow through cubic arrays of spherical bubbles
    • SANGANI, A. S. & ACRIVOS, A. 1983 Creeping flow through cubic arrays of spherical bubbles. Intl J. Multiphase Flow 9, 181-185.
    • (1983) Intl J. Multiphase Flow , vol.9 , pp. 181-185
    • Sangani, A.S.1    Acrivos, A.2
  • 53
    • 0027470871 scopus 로고
    • Dynamic simulations of flows of bubbly liquids at large Reynolds numbers
    • SANGANI, A. S. & DIDWANIA, A. K. 1993 Dynamic simulations of flows of bubbly liquids at large Reynolds numbers. J. Fluid Mech. 250, 307-337.
    • (1993) J. Fluid Mech. , vol.250 , pp. 307-337
    • Sangani, A.S.1    Didwania, A.K.2
  • 54
    • 0028992056 scopus 로고
    • Dynamics of fluidized suspension of spheres of finite size
    • SINGH, P. & JOSEPH, D. D. 1995 Dynamics of fluidized suspension of spheres of finite size. Intl J. Multiphase Flow 21, 1-26.
    • (1995) Intl J. Multiphase Flow , vol.21 , pp. 1-26
    • Singh, P.1    Joseph, D.D.2
  • 55
    • 0027473572 scopus 로고
    • On the motion of bubbles in a periodic box
    • SMEREKA, P. 1993 On the motion of bubbles in a periodic box. J. Fluid Mech. 254, 79-112.
    • (1993) J. Fluid Mech. , vol.254 , pp. 79-112
    • Smereka, P.1
  • 56
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flows
    • SUSSMAN, M., SMEREKA, P. & OSHER, S. 1994 A level set approach for computing solutions to incompressible two-phase flows. J. Comput. Phys. 114, 146-159.
    • (1994) J. Comput. Phys. , vol.114 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 59
    • 0000163297 scopus 로고
    • Compulations of three-dimensional Rayleigh-Taylor instability
    • TRYGGVASON, G. & UNVERDI, S. O. 1990 Compulations of three-dimensional Rayleigh-Taylor instability. Phys. Fluids A 2, 656-659.
    • (1990) Phys. Fluids A , vol.2 , pp. 656-659
    • Tryggvason, G.1    Unverdi, S.O.2
  • 60
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • UNVERDI, S. O. & TRYGGVASON, G. 1992a A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100, 25-37.
    • (1992) J. Comput. Phys. , vol.100 , pp. 25-37
    • Unverdi, S.O.1    Tryggvason, G.2
  • 61
    • 44049123695 scopus 로고
    • Computations of multi-fluid flows
    • UNVERDI, S. O. & TRYGGVASON, G. 1992b Computations of multi-fluid flows. Physica D 60, 70-83.
    • (1992) Physica D , vol.60 , pp. 70-83
    • Unverdi, S.O.1    Tryggvason, G.2
  • 62
    • 0015646336 scopus 로고
    • Sedimentation in a dilute emulsion
    • WACHOLDER, E. 1973 Sedimentation in a dilute emulsion. Chem. Engng Sci. 28, 1447-1453.
    • (1973) Chem. Engng Sci. , vol.28 , pp. 1447-1453
    • Wacholder, E.1
  • 63
    • 0027786376 scopus 로고
    • Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence
    • WANG, L. P. & MAXEY, M. 1993 Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence. J. Fluid Mech. 256, 27-68.
    • (1993) J. Fluid Mech. , vol.256 , pp. 27-68
    • Wang, L.P.1    Maxey, M.2
  • 65
    • 0028431170 scopus 로고
    • Averaged equations for inviscid disperse two-phase flow
    • ZHANG, D. Z. & PROSPERETTI, A. 1994 Averaged equations for inviscid disperse two-phase flow. J. Fluid Mech. 267, 185-219.
    • (1994) J. Fluid Mech. , vol.267 , pp. 185-219
    • Zhang, D.Z.1    Prosperetti, A.2
  • 66
    • 0027530463 scopus 로고
    • The flow of ordered and random suspensions of two-dimensional drops in a channel
    • ZHOU, H. & POZRIKIDIS, C. 1993 The flow of ordered and random suspensions of two-dimensional drops in a channel. J. Fluid Mech. 255, 103-127.
    • (1993) J. Fluid Mech. , vol.255 , pp. 103-127
    • Zhou, H.1    Pozrikidis, C.2
  • 67
    • 0001890365 scopus 로고
    • Pressure-driven flow of suspensions of liquid drops
    • ZHOU, H. & POZRIKIDIS, C. 1994 Pressure-driven flow of suspensions of liquid drops. Phys. Fluids 6, 80-94.
    • (1994) Phys. Fluids , vol.6 , pp. 80-94
    • Zhou, H.1    Pozrikidis, C.2
  • 68
    • 0019999150 scopus 로고
    • Stokes flow through periodic arrays of spheres
    • ZICK, A. A. & HOMSY, G. M. 1982 Stokes flow through periodic arrays of spheres. J. Fluid Mech. 115, 13-26.
    • (1982) J. Fluid Mech. , vol.115 , pp. 13-26
    • Zick, A.A.1    Homsy, G.M.2
  • 69
    • 0001468597 scopus 로고
    • On the dispersed two-phase flow in the laminar flow regime
    • ZUBRR, N. 1964 On the dispersed two-phase flow in the laminar flow regime. Chem. Engng Sci. 19, 897-917.
    • (1964) Chem. Engng Sci. , vol.19 , pp. 897-917
    • Zubrr, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.