메뉴 건너뛰기




Volumn 391, Issue , 1999, Pages 249-292

Cusping, capture, and breakup of interacting drops by a curvatureless boundary-integral algorithm

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; BUBBLE FORMATION; COMPUTER SIMULATION; DEFORMATION; INTEGRAL EQUATIONS; TOPOLOGY;

EID: 0032631787     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099005285     Document Type: Article
Times cited : (89)

References (59)
  • 1
    • 0017860026 scopus 로고
    • Deformation and breakup of a single drop in an extensional flow
    • ACRIVOS, A. & Lo, T. S. 1978 Deformation and breakup of a single drop in an extensional flow. J. Fluid Mech. 86, 641-642.
    • (1978) J. Fluid Mech. , vol.86 , pp. 641-642
    • Acrivos, A.1    Lo, T.S.2
  • 2
    • 0025419347 scopus 로고
    • Buoyancy-driven motion of a deformable drop toward a planar wall at low Reynolds number
    • ASCOLI, E. P., DANDY, D. S. & LEAL, L. G. 1990 Buoyancy-driven motion of a deformable drop toward a planar wall at low Reynolds number. J. Fluid Mech. 213, 287.
    • (1990) J. Fluid Mech. , vol.213 , pp. 287
    • Ascoli, E.P.1    Dandy, D.S.2    Leal, L.G.3
  • 3
    • 0001195672 scopus 로고    scopus 로고
    • Pinching threads, singularities and the number , 0.0304..
    • BRENNER, M. P., LISTER, J. R. & STONE, H. A. 1996 Pinching threads, singularities and the number , 0.0304... Phys. Fluids 8, 2827-2836.
    • (1996) Phys. Fluids , vol.8 , pp. 2827-2836
    • Brenner, M.P.1    Lister, J.R.2    Stone, H.A.3
  • 4
    • 0027430340 scopus 로고
    • Tipstreaming of drops in simple shear flows
    • BRUIJN DE, R. A. 1993 Tipstreaming of drops in simple shear flows. Chem. Engng Sci. 48, 277-284.
    • (1993) Chem. Engng Sci. , vol.48 , pp. 277-284
    • Bruijn De, R.A.1
  • 5
    • 84974029167 scopus 로고
    • Pointed bubbles in slow viscous flow
    • BUCKMASTER, J. D. 1972 Pointed bubbles in slow viscous flow. J. Fluid Mech. 55, 385-400.
    • (1972) J. Fluid Mech. , vol.55 , pp. 385-400
    • Buckmaster, J.D.1
  • 6
    • 0015600122 scopus 로고
    • The bursting of pointed drops in slow viscous flow
    • BUCKMASTER, J. D. 1973 The bursting of pointed drops in slow viscous flow. Trans. ASME E: J. Appl. Mech. 40, 18-24.
    • (1973) Trans. ASME E: J. Appl. Mech. , vol.40 , pp. 18-24
    • Buckmaster, J.D.1
  • 7
    • 0024646875 scopus 로고
    • A theoretical study of the motion of a viscous drop toward a fluid interface at low Reynolds number
    • CHI, B. K. & LEAL, L. G. 1989 A theoretical study of the motion of a viscous drop toward a fluid interface at low Reynolds number. J. Fluid Mech. 201, 123-146.
    • (1989) J. Fluid Mech. , vol.201 , pp. 123-146
    • Chi, B.K.1    Leal, L.G.2
  • 8
    • 0032025536 scopus 로고    scopus 로고
    • Motion of an array of drops through a cylindrical tube
    • COULLIETTE, C. & POZRIKIDIS, C. 1998 Motion of an array of drops through a cylindrical tube. J. Fluid Mech. 358, 1-28.
    • (1998) J. Fluid Mech. , vol.358 , pp. 1-28
    • Coulliette, C.1    Pozrikidis, C.2
  • 9
    • 0001451788 scopus 로고    scopus 로고
    • Drop breakup in three-dimensional viscous flows
    • CRISTINI, V., BLAWZDZIEWICZ, J. & LOEWENBERG, M. 1998 Drop breakup in three-dimensional viscous flows. Phys. Fluids 10, 1781-1783.
    • (1998) Phys. Fluids , vol.10 , pp. 1781-1783
    • Cristini, V.1    Blawzdziewicz, J.2    Loewenberg, M.3
  • 10
    • 0000110380 scopus 로고    scopus 로고
    • Buoyancy-driven viscous interaction of a rising drop with a smaller trailing drop
    • DAVIS, R. H. 1999 Buoyancy-driven viscous interaction of a rising drop with a smaller trailing drop. Phys. Fluids 11, 1016-1028.
    • (1999) Phys. Fluids , vol.11 , pp. 1016-1028
    • Davis, R.H.1
  • 11
    • 12044255149 scopus 로고
    • Universal pinching of three-dimensional axisymmetric free-surface flow
    • EGGERS, J. 1993 Universal pinching of three-dimensional axisymmetric free-surface flow. Phys. Rev. Lett. 71, 3458-3460.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 3458-3460
    • Eggers, J.1
  • 12
    • 0001589281 scopus 로고    scopus 로고
    • Non-linear dynamics and breakup of free-surface flows
    • EGGERS, J. 1997 Non-linear dynamics and breakup of free-surface flows. Rev. Mod. Phys. 69, 865-929.
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 865-929
    • Eggers, J.1
  • 13
    • 0018454326 scopus 로고
    • Steady long slender droplets in two-dimensional straining motion
    • HINCH, E. J. & ACRIVOS, A. 1979 Steady long slender droplets in two-dimensional straining motion. J. Fluid Mech. 91, 401-414.
    • (1979) J. Fluid Mech. , vol.91 , pp. 401-414
    • Hinch, E.J.1    Acrivos, A.2
  • 14
    • 0026805221 scopus 로고
    • Free-surface cusps associated with flow at low Reynolds number
    • JEONG, J.-T. & MOFFATT, H. K. 1992 Free-surface cusps associated with flow at low Reynolds number. J. Fluid Mech. 241, 1-22.
    • (1992) J. Fluid Mech. , vol.241 , pp. 1-22
    • Jeong, J.-T.1    Moffatt, H.K.2
  • 17
    • 0020914355 scopus 로고
    • Modified integral equation solution of viscous flows near sharp corners
    • KELMANSON, M. A. 1983a Modified integral equation solution of viscous flows near sharp corners. Comput. Fluids 11, 307-324.
    • (1983) Comput. Fluids , vol.11 , pp. 307-324
    • Kelmanson, M.A.1
  • 18
    • 0002933289 scopus 로고
    • An integral equation method for the solution of singular slow flow problems
    • KELMANSON, M. A. 1983b An integral equation method for the solution of singular slow flow problems. J. Comput. Phys. 51, 139-158.
    • (1983) J. Comput. Phys. , vol.51 , pp. 139-158
    • Kelmanson, M.A.1
  • 19
    • 0028372579 scopus 로고
    • Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow
    • KENNEDY, M. R., POZRIKIDIS, C. & SKALAK, R. 1994 Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow. Comput. Fluids 23, 251-278.
    • (1994) Comput. Fluids , vol.23 , pp. 251-278
    • Kennedy, M.R.1    Pozrikidis, C.2    Skalak, R.3
  • 20
    • 0028975393 scopus 로고
    • Numerical and theoretical solutions for a drop spreading below a free fluid surface
    • KOCH, D. M. & KOCH, D. L. 1995 Numerical and theoretical solutions for a drop spreading below a free fluid surface. J. Fluid Mech. 287, 251-278.
    • (1995) J. Fluid Mech. , vol.287 , pp. 251-278
    • Koch, D.M.1    Koch, D.L.2
  • 21
    • 0000470965 scopus 로고
    • The stability of drop shapes for translation at zero Reynolds number through a quiescent fluid
    • KOH, C. J. & LEAL, L. G. 1989 The stability of drop shapes for translation at zero Reynolds number through a quiescent fluid. Phys. Fluids A 1, 1309-1313.
    • (1989) Phys. Fluids A , vol.1 , pp. 1309-1313
    • Koh, C.J.1    Leal, L.G.2
  • 22
    • 0031164735 scopus 로고    scopus 로고
    • The effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow
    • LI, X. & POZRIKIDIS, C. 1997 The effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow. J. Fluid Mech. 341, 165-194.
    • (1997) J. Fluid Mech. , vol.341 , pp. 165-194
    • Li, X.1    Pozrikidis, C.2
  • 23
    • 0001219197 scopus 로고    scopus 로고
    • Capillary breakup of a viscous thread surrounded by another viscous fluid
    • LISTER, J. R. & STONE, H. A. 1998 Capillary breakup of a viscous thread surrounded by another viscous fluid. Phys. Fluids 10, 2758-2764.
    • (1998) Phys. Fluids , vol.10 , pp. 2758-2764
    • Lister, J.R.1    Stone, H.A.2
  • 24
    • 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
  • 25
    • 0031138131 scopus 로고    scopus 로고
    • Collision of two deformable drops in shear flow
    • LOEWENBERG, M. & HINCH, E. J. 1997 Collision of two deformable drops in shear flow. J. Fluid Mech. 338, 299-315.
    • (1997) J. Fluid Mech. , vol.338 , pp. 299-315
    • Loewenberg, M.1    Hinch, E.J.2
  • 26
    • 0031200976 scopus 로고    scopus 로고
    • Interactions between mantle diapirs
    • MANGA, M. 1997 Interactions between mantle diapirs. Geophys. Res. Lett. 24, 1871-1874.
    • (1997) Geophys. Res. Lett. , vol.24 , pp. 1871-1874
    • Manga, M.1
  • 27
    • 0001206701 scopus 로고
    • Buoyancy-driven interactions between two deformable viscous drops
    • MANGA, M. & STONE, H. A. 1993 Buoyancy-driven interactions between two deformable viscous drops. J. Fluid Mech. 256, 647-683.
    • (1993) J. Fluid Mech. , vol.256 , pp. 647-683
    • Manga, M.1    Stone, H.A.2
  • 28
    • 0029104074 scopus 로고
    • Low Reynolds number motion of bubbles, drops and rigid spheres through fluid-fluid interfaces
    • MANGA, M. & STONE, H. A. 1995a Low Reynolds number motion of bubbles, drops and rigid spheres through fluid-fluid interfaces. J. Fluid Mech. 287, 279-298.
    • (1995) J. Fluid Mech. , vol.287 , pp. 279-298
    • Manga, M.1    Stone, H.A.2
  • 29
    • 0029415932 scopus 로고
    • Collective hydrodynamics of deformable drops and bubbles in dilute low Reynolds number suspensions
    • MANGA, M. & STONE, H. A. 1995b Collective hydrodynamics of deformable drops and bubbles in dilute low Reynolds number suspensions. J. Fluid Mech. 300, 231-263.
    • (1995) J. Fluid Mech. , vol.300 , pp. 231-263
    • Manga, M.1    Stone, H.A.2
  • 30
    • 0027390259 scopus 로고
    • The effect of surfactant on the transient motion of Newtonian drops
    • MILLIKEN, W. J., STONE, H. A. & LEAL, L. G. 1993 The effect of surfactant on the transient motion of Newtonian drops. Phys. Fluids A 5, 69-79.
    • (1993) Phys. Fluids A , vol.5 , pp. 69-79
    • Milliken, W.J.1    Stone, H.A.2    Leal, L.G.3
  • 31
    • 0027396440 scopus 로고
    • Numerical solutions for the deformation of a bubble rising in dilute polymeric fluids
    • NOH, D. S., KANG, I. S. & LEAL, L. G. 1993 Numerical solutions for the deformation of a bubble rising in dilute polymeric fluids. Phys. Fluids A 5, 1315-1332.
    • (1993) Phys. Fluids A , vol.5 , pp. 1315-1332
    • Noh, D.S.1    Kang, I.S.2    Leal, L.G.3
  • 32
    • 0029169148 scopus 로고
    • On the breakup of viscous liquid threads
    • PAPAGEORGIOU, D. T. 1995 On the breakup of viscous liquid threads. Phys. Fluids 7, 1529-1544.
    • (1995) Phys. Fluids , vol.7 , pp. 1529-1544
    • Papageorgiou, D.T.1
  • 33
    • 0029673839 scopus 로고    scopus 로고
    • Marangoni effects on drop deformation in an extensional flow: The role of surfactant physical chemistry. I. Insoluble surfactants
    • PAWAR, Y. & STEBE, K. J. 1996 Marangoni effects on drop deformation in an extensional flow: The role of surfactant physical chemistry. I. Insoluble surfactants. Phys. Fluids 8, 1738.
    • (1996) Phys. Fluids , vol.8 , pp. 1738
    • Pawar, Y.1    Stebe, K.J.2
  • 34
    • 0025447672 scopus 로고
    • The deformation of a liquid drop moving normal to a plane wall
    • POZRIKIDIS, C. 1990a The deformation of a liquid drop moving normal to a plane wall. J. Fluid Mech. 215, 331.
    • (1990) J. Fluid Mech. , vol.215 , pp. 331
    • Pozrikidis, C.1
  • 35
    • 0025240138 scopus 로고
    • The instability of a moving viscous drop
    • POZRIKIDIS, C. 1990b The instability of a moving viscous drop. J. Fluid Mech. 210, 1-21.
    • (1990) J. Fluid Mech. , vol.210 , pp. 1-21
    • Pozrikidis, C.1
  • 37
    • 0027472660 scopus 로고
    • On the transient motion of ordered suspensions of liquid drops
    • POZRIKIDIS, C. 1993 On the transient motion of ordered suspensions of liquid drops. J. Fluid Mech. 246, 301-320.
    • (1993) J. Fluid Mech. , vol.246 , pp. 301-320
    • Pozrikidis, C.1
  • 38
    • 0030962993 scopus 로고    scopus 로고
    • Numerical studies of singularity formation at free surfaces and fluid interfaces in two-dimensional Stokes flow
    • POZRIKIDIS, C. 1997 Numerical studies of singularity formation at free surfaces and fluid interfaces in two-dimensional Stokes flow. J. Fluid Mech. 331, 145-167.
    • (1997) J. Fluid Mech. , vol.331 , pp. 145-167
    • Pozrikidis, C.1
  • 39
    • 0031997731 scopus 로고    scopus 로고
    • Numerical studies of cusp formation at fluid interfaces in Stokes flow
    • POZRIKIDIS, C. 1998 Numerical studies of cusp formation at fluid interfaces in Stokes flow. J. Fluid Mech. 357, 29-57.
    • (1998) J. Fluid Mech. , vol.357 , pp. 29-57
    • Pozrikidis, C.1
  • 40
    • 0019597281 scopus 로고
    • A numerical study of the deformation and burst of a viscous drop in general shear flows
    • RALLISON, J. M. 1981 A numerical study of the deformation and burst of a viscous drop in general shear flows. J. Fluid Mech. 109, 465-482.
    • (1981) J. Fluid Mech. , vol.109 , pp. 465-482
    • Rallison, J.M.1
  • 41
    • 0000652727 scopus 로고
    • A numerical study of the deformation and burst of a viscous drop in an extensional flow
    • RALLISON, J. M. & ACRIVOS, A. 1978 A numerical study of the deformation and burst of a viscous drop in an extensional flow. J. Fluid Mech. 89, 191-200.
    • (1978) J. Fluid Mech. , vol.89 , pp. 191-200
    • Rallison, J.M.1    Acrivos, A.2
  • 42
    • 84958445108 scopus 로고
    • Two dimensional bubbles in slow flow
    • RICHARDSON, S. 1968 Two dimensional bubbles in slow flow. J. Fluid Mech. 33, 475-493.
    • (1968) J. Fluid Mech. , vol.33 , pp. 475-493
    • Richardson, S.1
  • 44
    • 0031224836 scopus 로고    scopus 로고
    • Buoyancy-driven coalescence of slightly deformable drops
    • ROTHER, M. A., ZINCHENKO, A. Z. & DAVIS, R. H. 1997 Buoyancy-driven coalescence of slightly deformable drops. J. Fluid Mech. 346, 117-148.
    • (1997) J. Fluid Mech. , vol.346 , pp. 117-148
    • Rother, M.A.1    Zinchenko, A.Z.2    Davis, R.H.3
  • 45
    • 0019633571 scopus 로고
    • Spindle shaped drops in a viscous extensional flow
    • SHERWOOD, J. D. 1981 Spindle shaped drops in a viscous extensional flow. Math. Proc. Camb. Phil. Soc. 90, 529-536.
    • (1981) Math. Proc. Camb. Phil. Soc. , vol.90 , pp. 529-536
    • Sherwood, J.D.1
  • 46
    • 0021458950 scopus 로고
    • Tip streaming from slender drops in a non-linear extensional flow
    • SHERWOOD, J. D. 1984 Tip streaming from slender drops in a non-linear extensional flow. J. Fluid Mech. 144, 281-295.
    • (1984) J. Fluid Mech. , vol.144 , pp. 281-295
    • Sherwood, J.D.1
  • 47
    • 0002532545 scopus 로고
    • Dynamics of drop deformation and breakup in viscous fluids
    • STONE, H. A. 1994 Dynamics of drop deformation and breakup in viscous fluids. Ann. Rev. Fluid Mech. 26, 65-102.
    • (1994) Ann. Rev. Fluid Mech. , vol.26 , pp. 65-102
    • Stone, H.A.1
  • 48
    • 0024479867 scopus 로고
    • Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid
    • STONE, H. A. & LEAL, L. G. 1989a Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid. J. Fluid Mech. 198, 399-427.
    • (1989) J. Fluid Mech. , vol.198 , pp. 399-427
    • Stone, H.A.1    Leal, L.G.2
  • 49
    • 0024739194 scopus 로고
    • The influence of initial deformation on drop breakup in subcritical time-dependent flows at low Reynolds numbers
    • STONE, H. A. & LEAL, L. G. 1989b The influence of initial deformation on drop breakup in subcritical time-dependent flows at low Reynolds numbers. J. Fluid Mech. 206, 223-263.
    • (1989) J. Fluid Mech. , vol.206 , pp. 223-263
    • Stone, H.A.1    Leal, L.G.2
  • 50
    • 0025517168 scopus 로고
    • The effects of surfactants on drop deformation and breakup
    • STONE, H. A. & LEAL, L. G. 1990 The effects of surfactants on drop deformation and breakup. J. Fluid Mech. 220, 161-186.
    • (1990) J. Fluid Mech. , vol.220 , pp. 161-186
    • Stone, H.A.1    Leal, L.G.2
  • 51
    • 0026797840 scopus 로고
    • Satellite and subsatellite formation in capillary breakup
    • TJAHJADI, M., STONE, H. A. & OTTINO, J. M. 1992 Satellite and subsatellite formation in capillary breakup. J. Fluid Mech. 243, 297-317.
    • (1992) J. Fluid Mech. , vol.243 , pp. 297-317
    • Tjahjadi, M.1    Stone, H.A.2    Ottino, J.M.3
  • 52
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • UNVERDI, S. O. & TRYGGVASON, G. 1992 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
  • 53
    • 0026221192 scopus 로고
    • The rate of collisions of small drops due to Brownian or gravitational motion
    • ZHANG, X. & DAVIS, R. H. 1991 The rate of collisions of small drops due to Brownian or gravitational motion. J. Fluid Mech. 230, 479-504.
    • (1991) J. Fluid Mech. , vol.230 , pp. 479-504
    • Zhang, X.1    Davis, R.H.2
  • 54
    • 0030586347 scopus 로고    scopus 로고
    • Axisymmetric thermocapillary migration of two deformable viscous drops
    • ZHOU, H. & DAVIS, R. H. 1996 Axisymmetric thermocapillary migration of two deformable viscous drops. J. Colloid Interface Sci. 181, 60-72.
    • (1996) J. Colloid Interface Sci. , vol.181 , pp. 60-72
    • Zhou, H.1    Davis, R.H.2
  • 55
    • 0343610069 scopus 로고
    • Calculations of the effectiveness of gravitational coagulation of drops with allowance for internal circulation
    • ZINCHENKO, A. Z. 1982 Calculations of the effectiveness of gravitational coagulation of drops with allowance for internal circulation. Prikl. Mat. Mech. 46, 58-65.
    • (1982) Prikl. Mat. Mech. , vol.46 , pp. 58-65
    • Zinchenko, A.Z.1
  • 56
    • 0000784999 scopus 로고
    • An efficient algorithm for calculating multiparticle thermal interaction in a concentrated dispersion of spheres
    • ZINCHENKO, A. Z. 1994 An efficient algorithm for calculating multiparticle thermal interaction in a concentrated dispersion of spheres. J. Comput. Phys. 111, 120-135.
    • (1994) J. Comput. Phys. , vol.111 , pp. 120-135
    • Zinchenko, A.Z.1
  • 57
    • 3242863099 scopus 로고    scopus 로고
    • Effective conductivity of loaded granular materials by numerical simulation
    • ZINCHENKO, A. Z. 1998 Effective conductivity of loaded granular materials by numerical simulation. Phil. Trans. R. Soc. Lond. A 356, 2953-2998.
    • (1998) Phil. Trans. R. Soc. Lond. A , vol.356 , pp. 2953-2998
    • Zinchenko, A.Z.1
  • 58
    • 0002214673 scopus 로고    scopus 로고
    • An efficient algorithm for hydrodynamical interaction of many deformable drops
    • under review
    • ZINCHENKO, A. Z. & DAVIS, R. H. 1999 An efficient algorithm for hydrodynamical interaction of many deformable drops. J. Comput. Phys. (under review).
    • (1999) J. Comput. Phys.
    • Zinchenko, A.Z.1    Davis, R.H.2
  • 59
    • 0030833424 scopus 로고    scopus 로고
    • A novel boundary-integral algorithm for viscous interaction of deformable drops
    • ZINCHENKO, A. Z., ROTHER, M. A. & DAVIS, R. H. 1997 A novel boundary-integral algorithm for viscous interaction of deformable drops. Phys. Fluids 9, 1493-1511.
    • (1997) Phys. Fluids , vol.9 , pp. 1493-1511
    • Zinchenko, A.Z.1    Rother, M.A.2    Davis, R.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.