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Volumn 9, Issue 6, 1997, Pages 1493-1511

A novel boundary-integral algorithm for viscous interaction of deformable drops

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DROPS; VISCOUS FLOW;

EID: 0030833424     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869275     Document Type: Article
Times cited : (184)

References (53)
  • 1
    • 0015643771 scopus 로고
    • The slow unsteady settling of two fluid spheres along their line of centres
    • E. Rushton and G. A. Davies, "The slow unsteady settling of two fluid spheres along their line of centres," Appl. Sci. Res. 28, 37 (1973).
    • (1973) Appl. Sci. Res. , vol.28 , pp. 37
    • Rushton, E.1    Davies, G.A.2
  • 2
  • 3
    • 0010408031 scopus 로고
    • The slow asymmetrical motion of two drops in a viscous medium
    • A. Z. Zinchenko, "The slow asymmetrical motion of two drops in a viscous medium," Prikl. Mat. Mech. 44, 30 (1980).
    • (1980) Prikl. Mat. Mech. , vol.44 , pp. 30
    • Zinchenko, A.Z.1
  • 4
    • 0343610069 scopus 로고
    • Calculation of the effectiveness of gravitational coagulation of drops with allowance for internal circulation
    • A. Z. Zinchenko, "Calculation of the effectiveness of gravitational coagulation of drops with allowance for internal circulation," Prikl. Mat. Mech. 46, 58 (1982).
    • (1982) Prikl. Mat. Mech. , vol.46 , pp. 58
    • Zinchenko, A.Z.1
  • 5
    • 0020878174 scopus 로고
    • Hydrodynamic interaction of two identical liquid spheres in linear flow field
    • A. Z. Zinchenko, "Hydrodynamic interaction of two identical liquid spheres in linear flow field," Prikl. Mat. Mech. 47, 37 (1983).
    • (1983) Prikl. Mat. Mech. , vol.47 , pp. 37
    • Zinchenko, A.Z.1
  • 6
    • 0000916058 scopus 로고
    • Mobility functions for two unequal viscous drops in Stokes flow. Part 1. Axisymmetric motions
    • Y. O. Fuentes, S. Kim, and D. J. Jeffery, "Mobility functions for two unequal viscous drops in Stokes flow. Part 1. Axisymmetric motions," Phys. Fluids 31, 2445 (1988).
    • (1988) Phys. Fluids , vol.31 , pp. 2445
    • Fuentes, Y.O.1    Kim, S.2    Jeffery, D.J.3
  • 7
    • 22044444768 scopus 로고
    • Mobility functions for two unequal viscous drops in Stokes flow. Part 2. Nonaxisymmetric motions
    • Y. O. Fuentes, S. Kim, and D. J. Jeffrey, "Mobility functions for two unequal viscous drops in Stokes flow. Part 2. Nonaxisymmetric motions," Phys. Fluids A 1, 61 (1989).
    • (1989) Phys. Fluids A , vol.1 , pp. 61
    • Fuentes, Y.O.1    Kim, S.2    Jeffrey, D.J.3
  • 9
    • 0028407071 scopus 로고
    • The collision rate of small drops in linear flow fields
    • H. Wang, A. Z. Zinchenko, and R. H. Davis, "The collision rate of small drops in linear flow fields," J. Fliud Mech. 265, 161 (1994).
    • (1994) J. Fliud Mech. , vol.265 , pp. 161
    • Wang, H.1    Zinchenko, A.Z.2    Davis, R.H.3
  • 10
    • 0026221192 scopus 로고
    • The rate of collisions of small drops due to Brownian or gravitational motion
    • X. Zhang and R. H. Davis, "The rate of collisions of small drops due to Brownian or gravitational motion," J. Fluid Mech. 230, 479 (1991).
    • (1991) J. Fluid Mech. , vol.230 , pp. 479
    • Zhang, X.1    Davis, R.H.2
  • 11
    • 0028669177 scopus 로고
    • Gravity-induced coalescence of drops at arbitrary Péclet numbers
    • A. Z. Zinchenko and R. H. Davis "Gravity-induced coalescence of drops at arbitrary Péclet numbers," J. Fluid Mech. 280, 119 (1994).
    • (1994) J. Fluid Mech. , vol.280 , pp. 119
    • Zinchenko, A.Z.1    Davis, R.H.2
  • 12
    • 0029510505 scopus 로고
    • Collision rates of spherical drops or particles in a shear flow at arbitrary Péclet numbers
    • A. Z. Zinchenko and R. H. Davis, "Collision rates of spherical drops or particles in a shear flow at arbitrary Péclet numbers," Phys. Fluids 7, 2310 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 2310
    • Zinchenko, A.Z.1    Davis, R.H.2
  • 13
    • 0344621754 scopus 로고
    • Effect of hydrodynamic interactions between the particles on the rheological properties of dilute emulsions
    • A. Z. Zinchenko, "Effect of hydrodynamic interactions between the particles on the rheological properties of dilute emulsions," Prikl. Mat. Mech. 48, 198 (1984).
    • (1984) Prikl. Mat. Mech. , vol.48 , pp. 198
    • Zinchenko, A.Z.1
  • 14
    • 0027951834 scopus 로고
    • Method for computing Stokes flow interactions among spherical objects and its application to suspensions of drops and porous particles
    • G. Mo and A. S. Sangani, "Method for computing Stokes flow interactions among spherical objects and its application to suspensions of drops and porous particles," Phys. Fluids 6, 1637 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 1637
    • Mo, G.1    Sangani, A.S.2
  • 15
    • 0014543534 scopus 로고
    • The deformation of a drop in general time dependent flow
    • R. G. Cox, "The deformation of a drop in general time dependent flow," J. Fluid Mech. 37, 601 (1969).
    • (1969) J. Fluid Mech. , vol.37 , pp. 601
    • Cox, R.G.1
  • 16
    • 0002085997 scopus 로고
    • The constitutive equation for a dilute emulsion
    • N. A. Frankel and A. Acrivos, "The constitutive equation for a dilute emulsion," J. Fluid Mech. 44, 65 (1970).
    • (1970) J. Fluid Mech. , vol.44 , pp. 65
    • Frankel, N.A.1    Acrivos, A.2
  • 17
    • 84975961379 scopus 로고
    • Deformation and burst of a liquid droplet freely suspended in a linear flow field
    • D. Barthés-Biesel and A. Acrivos, "Deformation and burst of a liquid droplet freely suspended in a linear flow field," J. Fluid Mech. 61, 1 (1973).
    • (1973) J. Fluid Mech. , vol.61 , pp. 1
    • Barthés-Biesel, D.1    Acrivos, A.2
  • 18
    • 0015570216 scopus 로고
    • The rheology of suspensions and its relation to phenomenological theories for non-Newtonian fluids
    • D. Barthé-Biesel and A. Acrivos, "The rheology of suspensions and its relation to phenomenological theories for non-Newtonian fluids," Int. J. Multiphase Flow 1, 1 (1973).
    • (1973) Int. J. Multiphase Flow , vol.1 , pp. 1
    • Barthé-Biesel, D.1    Acrivos, A.2
  • 19
    • 0025474321 scopus 로고
    • On the buoyancy-driven motion of a drop towards a rigid surface or a deformable interface
    • S. G. Yiantsios and R. H. Davis, "On the buoyancy-driven motion of a drop towards a rigid surface or a deformable interface," J. Fluid Mech. 217, 547 (1990).
    • (1990) J. Fluid Mech. , vol.217 , pp. 547
    • Yiantsios, S.G.1    Davis, R.H.2
  • 20
    • 0026185865 scopus 로고
    • Close approach and deformation of two viscous drops due to gravity and van der Waals forces
    • S. G. Yiantsios and R. H. Davis, "Close approach and deformation of two viscous drops due to gravity and van der Waals forces," J. Colloid Interface Sci. 144, 412 (1991).
    • (1991) J. Colloid Interface Sci. , vol.144 , pp. 412
    • Yiantsios, S.G.1    Davis, R.H.2
  • 21
    • 85033323637 scopus 로고    scopus 로고
    • Buoyancy-driven conlescence of sightly deformable drops
    • submitted
    • M. A. Rother, A. Z. Zinchenko, and R. H. Davis, "Buoyancy-driven conlescence of sightly deformable drops," J. Fluid Mech. (submitted).
    • J. Fluid Mech.
    • Rother, M.A.1    Zinchenko, A.Z.2    Davis, R.H.3
  • 22
    • 0000652727 scopus 로고
    • A numerical study of the deformation and burst of a viscous drop in an extensional flow
    • J. M. Rallison and A. Acrivos, "A numerical study of the deformation and burst of a viscous drop in an extensional flow," J. Fluid Mech. 89, 191 (1978).
    • (1978) J. Fluid Mech. , vol.89 , pp. 191
    • Rallison, J.M.1    Acrivos, A.2
  • 24
    • 0024646875 scopus 로고
    • A theoretical study of the motion of a viscous drop toward a fluid interface at low Reynolds number
    • B. K. Chi and L. G. Leal, "A theoretical study of the motion of a viscous drop toward a fluid interface at low Reynolds number," J. Fluid Mech. 201, 123 (1989).
    • (1989) J. Fluid Mech. , vol.201 , pp. 123
    • Chi, B.K.1    Leal, L.G.2
  • 25
    • 0025447672 scopus 로고
    • The deformation of a liquid drop moving normal to a plane wall
    • C. Pozrikidis, "The deformation of a liquid drop moving normal to a plane wall," J. Fluid Mech. 215, 331 (1990).
    • (1990) J. Fluid Mech. , vol.215 , pp. 331
    • Pozrikidis, C.1
  • 26
    • 0025419347 scopus 로고
    • Buoyancy-driven motion of a deformable drop toward a planar wall at low Reynolds number
    • E. P. Ascoli, D. S. Dandy, and L. G. Leal, "Buoyancy-driven motion of a deformable drop toward a planar wall at low Reynolds number," J. Fluid Mech. 213, 287 (1990).
    • (1990) J. Fluid Mech. , vol.213 , pp. 287
    • Ascoli, E.P.1    Dandy, D.S.2    Leal, L.G.3
  • 27
    • 0028975393 scopus 로고
    • Numerical and theoretical solutions for a drop spreading below a free fluid surface
    • D. M. Koch and D. L. Koch, "Numerical and theoretical solutions for a drop spreading below a free fluid surface," J. Fluid Mech. 287, 251 (1995).
    • (1995) J. Fluid Mech. , vol.287 , pp. 251
    • Koch, D.M.1    Koch, D.L.2
  • 28
    • 0029104074 scopus 로고
    • Low Reynolds number motion of bubbles, drops and rigid spheres through fluid-fluid interfaces
    • M. Manga and H. A. Stone, "Low Reynolds number motion of bubbles, drops and rigid spheres through fluid-fluid interfaces," J. Fluid Mech. 287, 279 (1995).
    • (1995) J. Fluid Mech. , vol.287 , pp. 279
    • Manga, M.1    Stone, H.A.2
  • 29
    • 0024479867 scopus 로고
    • Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid
    • H. A. Stone and L. G. Leal, "Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid," J. Fluid Mech. 198, 399 (1989).
    • (1989) J. Fluid Mech. , vol.198 , pp. 399
    • Stone, H.A.1    Leal, L.G.2
  • 30
    • 0024739194 scopus 로고
    • "The influence of initial deformation on drop breakup in subcritical time-dependent flows at low Reynolds numbers
    • H. A. Stone and L. G. Leal, "The influence of initial deformation on drop breakup in subcritical time-dependent flows at low Reynolds numbers," J. Fluid Mech. 206, 223 (1989).
    • (1989) J. Fluid Mech. , vol.206 , pp. 223
    • Stone, H.A.1    Leal, L.G.2
  • 31
    • 0025240138 scopus 로고
    • The instability of a moving viscous drop
    • C. Pozrikidis, "The instability of a moving viscous drop," J. Fluid Mech. 210, 1 (1990).
    • (1990) J. Fluid Mech. , vol.210 , pp. 1
    • Pozrikidis, C.1
  • 32
    • 0000470965 scopus 로고
    • The stability of drop shapes for translation at zero Reynolds number through a quiescent fluid
    • C. J. Koh and L. G. Leal, "The stability of drop shapes for translation at zero Reynolds number through a quiescent fluid," Phys. Fluids A 1 (1989).
    • (1989) Phys. Fluids A , vol.1
    • Koh, C.J.1    Leal, L.G.2
  • 33
    • 0001206701 scopus 로고
    • Buoyancy-driven interactions between two deformable viscous drops
    • M. Manga and H. A. Stone, "Buoyancy-driven interactions between two deformable viscous drops," J. Fluid Mech. 256, 647 (1993).
    • (1993) J. Fluid Mech. , vol.256 , pp. 647
    • Manga, M.1    Stone, H.A.2
  • 34
    • 0025517168 scopus 로고
    • The effects of surfactants on drop deformation and breakup
    • H. A. Stone and L. G. Leal, "The effects of surfactants on drop deformation and breakup," J. Fluid Mech. 220, 161 (1990).
    • (1990) J. Fluid Mech. , vol.220 , pp. 161
    • Stone, H.A.1    Leal, L.G.2
  • 35
    • 0029673839 scopus 로고    scopus 로고
    • Marangoni effects on drop deformation in an extensional flow: The role of surfactant physical chemistry. I. Insoluble surfactants
    • Y. Pawar and K. J. Stebe, "Marangoni effects on drop deformation in an extensional flow: The role of surfactant physical chemistry. I. Insoluble surfactants," Phys. Fluids 8, 1738 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 1738
    • Pawar, Y.1    Stebe, K.J.2
  • 36
    • 0030586347 scopus 로고    scopus 로고
    • Axisymmetric thermocapillary migration of two deformable viscous drops
    • H. Zhou and R. H. Davis, "Axisymmetric thermocapillary migration of two deformable viscous drops," J. Colliod Interface Sci. 181, 60 (1996).
    • (1996) J. Colliod Interface Sci. , vol.181 , pp. 60
    • Zhou, H.1    Davis, R.H.2
  • 37
    • 0019597281 scopus 로고
    • A numerical study of the deformation and burst of a viscous drop in general shear flows
    • J. M. Rallison, "A numerical study of the deformation and burst of a viscous drop in general shear flows," J. Fluid Mech. 109, 465 (1981).
    • (1981) J. Fluid Mech. , vol.109 , pp. 465
    • Rallison, J.M.1
  • 38
    • 0028372579 scopus 로고
    • Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow
    • M. R. Kennedy, C. Pozrikidis, and R. Skalak, "Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow," Comput. Fluids 23, 251 (1994).
    • (1994) Comput. Fluids , vol.23 , pp. 251
    • Kennedy, M.R.1    Pozrikidis, C.2    Skalak, R.3
  • 39
    • 0027472660 scopus 로고
    • On the transient motion of ordered suspensions of liquid drops
    • C. Pozrikidis, "On the transient motion of ordered suspensions of liquid drops," J. Fluid Mech. 246, 301 (1993).
    • (1993) J. Fluid Mech. , vol.246 , pp. 301
    • Pozrikidis, C.1
  • 40
    • 0029415932 scopus 로고
    • Collective hydrodynamics of deformable drops and bubbles in dilute low Reynolds number suspensions
    • M. Manga and H. A. Stone, "Collective hydrodynamics of deformable drops and bubbles in dilute low Reynolds number suspensions," J. Fluid Mech. 300, 231 (1995).
    • (1995) J. Fluid Mech. , vol.300 , pp. 231
    • Manga, M.1    Stone, H.A.2
  • 41
    • 0030207760 scopus 로고    scopus 로고
    • Numerical simulation of a concentrated emulsion in shear flow
    • M. Loewenberg and E. J. Hinch, "Numerical simulation of a concentrated emulsion in shear flow," J. Fluid Mech. 321, 395 (1996).
    • (1996) J. Fluid Mech. , vol.321 , pp. 395
    • Loewenberg, M.1    Hinch, E.J.2
  • 42
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • S. O. Unverdi and G. Tryggvason, "A front-tracking method for viscous, incompressible, multi-fluid flows," J. Comput. Phys. 100, 25 (1992).
    • (1992) J. Comput. Phys. , vol.100 , pp. 25
    • Unverdi, S.O.1    Tryggvason, G.2
  • 44
    • 0000784999 scopus 로고
    • An efficient algorithm for calculating multiparticle thermal interaction in a concentrated dispersion of spheres
    • A. Z. Zinchenko, "An efficient algorithm for calculating multiparticle thermal interaction in a concentrated dispersion of spheres," J. Comput. Phys. 111, 120 (1994).
    • (1994) J. Comput. Phys. , vol.111 , pp. 120
    • Zinchenko, A.Z.1
  • 45
    • 85033302800 scopus 로고    scopus 로고
    • Effective conductivity of loaded granular materials by numerical simulation
    • submitted
    • A. Z. Zinchenko, "Effective conductivity of loaded granular materials by numerical simulation," Philos. Trans. R. Soc. London Ser. A (submitted).
    • Philos. Trans. R. Soc. London Ser. A
    • Zinchenko, A.Z.1
  • 46
    • 0002308279 scopus 로고
    • Conjugate gradient methods for indefinite systems
    • Springer-Verlag, Berlin
    • R. Fletcher, "Conjugate gradient methods for indefinite systems," Lecture Notes in Mathematics, 506 (Springer-Verlag, Berlin, 1976).
    • (1976) Lecture Notes in Mathematics , pp. 506
    • Fletcher, R.1
  • 48
    • 0039686967 scopus 로고
    • Calculation of hydrodynamic interactions between drops at low Reynolds number
    • A. Z. Zinchenko, "Calculation of hydrodynamic interactions between drops at low Reynolds number," Prikl. Mat. Mech. 42, 1046 (1978).
    • (1978) Prikl. Mat. Mech. , vol.42 , pp. 1046
    • Zinchenko, A.Z.1
  • 49
    • 0021122168 scopus 로고
    • The deformation of small viscous drops and bubbles in shear flows
    • J. M. Rallison, "The deformation of small viscous drops and bubbles in shear flows," Annu. Rev. Fluid Mech. 16, 45 (1984).
    • (1984) Annu. Rev. Fluid Mech. , vol.16 , pp. 45
    • Rallison, J.M.1
  • 50
    • 0002532545 scopus 로고
    • Dynamics of drop deformation and breakup in viscous fluids
    • H. A. Stone, "Dynamics of drop deformation and breakup in viscous fluids," Annu. Rev. Fluid Mech. 26, 65 (1994).
    • (1994) Annu. Rev. Fluid Mech. , vol.26 , pp. 65
    • Stone, H.A.1
  • 51
    • 0024889273 scopus 로고
    • Lubrication singularities of the grand resistance tensor for two arbitrary particles
    • I. L. Claeys and J. F. Brady, "Lubrication singularities of the grand resistance tensor for two arbitrary particles," PhysicoChem. Hydrodyn. 11, 261 (1989).
    • (1989) PhysicoChem. Hydrodyn. , vol.11 , pp. 261
    • Claeys, I.L.1    Brady, J.F.2
  • 52
    • 0026892836 scopus 로고
    • Parallel computational microhydrodynamics: Communication scheduling strategies
    • Y. O. Fuentes and S. Kim, "Parallel computational microhydrodynamics: communication scheduling strategies," AIChE J. 38, 1059 (1992).
    • (1992) AIChE J. , vol.38 , pp. 1059
    • Fuentes, Y.O.1    Kim, S.2
  • 53
    • 0029373654 scopus 로고
    • A spectral boundary element approach to three-dimensional Stokes flow
    • G. P. Muldowney and J. J. L. Higdon, "A spectral boundary element approach to three-dimensional Stokes flow," J. Fluid Mech. 298, 167 (1995).
    • (1995) J. Fluid Mech. , vol.298 , pp. 167
    • Muldowney, G.P.1    Higdon, J.J.L.2


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