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Volumn 20, Issue 6, 2008, Pages

A method for determining Stokes flow around particles near a wall or in a thin film bounded by a wall and a gas-liquid interface

Author keywords

[No Author keywords available]

Indexed keywords

POROUS MATERIALS; THIN FILMS;

EID: 47149106607     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2930667     Document Type: Article
Times cited : (21)

References (43)
  • 1
    • 1842612577 scopus 로고    scopus 로고
    • "Bacterial biofilms: From the natural environment to infectious diseases"
    • NRMACK1740-152610.1038/nrmicro821
    • L. H. Stoodley, J. W. Costerton, and P. Stoodley, "Bacterial biofilms: From the natural environment to infectious diseases," Nat. Rev. Microbiol. NRMACK1740-152610.1038/nrmicro821 2, 95 (2004).
    • (2004) Nat. Rev. Microbiol. , vol.2 , pp. 95
    • Stoodley, L.H.1    Costerton, J.W.2    Stoodley, P.3
  • 2
    • 0142011070 scopus 로고    scopus 로고
    • "A three-dimensional, stochastic simulation of biofilm growth and transport-related factors that affect structure"
    • MROBEO1350-087210.1099/mic.0.26211-0
    • I. Chang, E. S. Gilbert, N. Eliashberg, and J. D. Keasling, "A three-dimensional, stochastic simulation of biofilm growth and transport-related factors that affect structure," Microbiology MROBEO1350-087210.1099/mic.0.26211-0 149, 2859 (2003).
    • (2003) Microbiology , vol.149 , pp. 2859
    • Chang, I.1    Gilbert, E.S.2    Eliashberg, N.3    Keasling, J.D.4
  • 4
    • 0027951834 scopus 로고
    • "A method for computing Stokes flow interactions among spherical objects and its application to suspensions of drops and porous particles"
    • PHFLE61070-663110.1063/1.868227
    • G. Mo and A. S. Sangani, "A method for computing Stokes flow interactions among spherical objects and its application to suspensions of drops and porous particles," Phys. Fluids PHFLE61070-663110.1063/ 1.868227 6, 1637 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 1637
    • Mo, G.1    Sangani, A.S.2
  • 5
    • 5844419608 scopus 로고    scopus 로고
    • "An O(N) algorithm for Stokes and Laplace interactions of particles"
    • PHFLE61070-663110.1063/1.869003
    • A. S. Sangani and G. Mo, "An O(N) algorithm for Stokes and Laplace interactions of particles," Phys. Fluids PHFLE61070-663110.1063/ 1.869003 8, 1990 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 1990
    • Sangani, A.S.1    Mo, G.2
  • 8
    • 13144290991 scopus 로고
    • (Martinus Nijhoff, The Hague)
    • H. A. Lorentz, Collected Papers (Martinus Nijhoff, The Hague, 1937), vol. IV, pp. 7-14.
    • (1937) Collected Papers , vol.4 , pp. 7-14
    • Lorentz, H.A.1
  • 10
    • 84976077688 scopus 로고
    • "A note on the image system for a stokeslet in a no-slip boundary"
    • PCPSA40068-6735
    • J. R. Blake, "A note on the image system for a stokeslet in a no-slip boundary," Proc. Cambridge Philos. Soc. PCPSA40068-6735 70, 303 (1971).
    • (1971) Proc. Cambridge Philos. Soc. , vol.70 , pp. 303
    • Blake, J.R.1
  • 11
    • 0017011957 scopus 로고
    • "Stokes flow for a stokeslet between two parallel flat plates"
    • JLEMAU0022-083310.1007/BF01535565
    • N. Liron and S. Mochon, "Stokes flow for a stokeslet between two parallel flat plates," J. Eng. Math. JLEMAU0022-083310.1007/ BF01535565 10, 287 (1976).
    • (1976) J. Eng. Math , vol.10 , pp. 287
    • Liron, N.1    Mochon, S.2
  • 12
    • 0017980894 scopus 로고
    • "Stokes flow due to a stokeslet in a pipe"
    • JFLSA70022-112010.1017/S0022112078001366
    • N. Liron and R. Shahar, "Stokes flow due to a stokeslet in a pipe," J. Fluid Mech. JFLSA70022-112010.1017/S0022112078001366 86, 727 (1978).
    • (1978) J. Fluid Mech. , vol.86 , pp. 727
    • Liron, N.1    Shahar, R.2
  • 13
    • 0030088287 scopus 로고    scopus 로고
    • "Stokes flow due to infinite arrays of stokeslets in three dimensions"
    • JLEMAU0022-083310.1007/BF00118835
    • N. Liron, "Stokes flow due to infinite arrays of stokeslets in three dimensions," J. Eng. Math. JLEMAU0022-083310.1007/BF00118835 30, 267 (1996).
    • (1996) J. Eng. Math , vol.30 , pp. 267
    • Liron, N.1
  • 14
    • 0030088283 scopus 로고    scopus 로고
    • "Computation of periodic Green's function of Stokes flow"
    • JLEMAU0022-083310.1007/BF00118824
    • C. Pozrikidis, "Computation of periodic Green's function of Stokes flow," J. Eng. Math. JLEMAU0022-083310.1007/BF00118824 30, 79 (1996).
    • (1996) J. Eng. Math , vol.30 , pp. 79
    • Pozrikidis, C.1
  • 15
    • 0036850961 scopus 로고    scopus 로고
    • "Image system for Stokes-flow singularity between two parallel planar walls"
    • JMAPAQ0022-248810.1063/1.1508812
    • S. Bhattacharya and J. Bławzdziewicz, "Image system for Stokes-flow singularity between two parallel planar walls," J. Math. Phys. JMAPAQ0022-248810.1063/1.1508812 43, 5720 (2002).
    • (2002) J. Math. Phys. , vol.43 , pp. 5720
    • Bhattacharya, S.1    Bławzdziewicz, J.2
  • 16
    • 0002609471 scopus 로고
    • "Fundamental singularities of viscous flow. Part I. The image systems in the vicinity of a stationary no-slip boundary"
    • JLEMAU0022-083310.1007/BF02353701
    • J. R. Blake and A. T. Chwang, "Fundamental singularities of viscous flow. Part I. The image systems in the vicinity of a stationary no-slip boundary," J. Eng. Math. JLEMAU0022-083310.1007/BF02353701 8, 23 (1974).
    • (1974) J. Eng. Math. , vol.8 , pp. 23
    • Blake, J.R.1    Chwang, A.T.2
  • 17
    • 0032162977 scopus 로고    scopus 로고
    • "Image representation of a spherical particle near a hard wall"
    • PHYADX0378-437110.1016/S0378-4371(98)00267-2
    • B. Cichocki and R. B. Jones, "Image representation of a spherical particle near a hard wall," Physica A PHYADX0378-437110.1016/ S0378-4371(98)00267-2 258, 273 (1998).
    • (1998) Physica A , vol.258 , pp. 273
    • Cichocki, B.1    Jones, R.B.2
  • 18
    • 0000127275 scopus 로고    scopus 로고
    • "Friction and mobility for colloidal spheres in Stokes flow near a boundary: The multipole method and applications"
    • JCPSA60021-960610.1063/1.480894
    • B. Cichocki, R. B. Jones, R. Kutteh, and E. Wajnryb, "Friction and mobility for colloidal spheres in Stokes flow near a boundary: The multipole method and applications," J. Chem. Phys. JCPSA60021-960610.1063/1.480894 112, 2548 (2000).
    • (2000) J. Chem. Phys. , vol.112 , pp. 2548
    • Cichocki, B.1    Jones, R.B.2    Kutteh, R.3    Wajnryb, E.4
  • 19
    • 0018506772 scopus 로고
    • "Motion of a sphere in the presence of a plane interface. Part 1. An approximate solution by generalization of the method of Lorentz"
    • JFLSA70022-112010.1017/S0022112079001981
    • S. H. Lee, R. S. Chadwick, and L. G. Leal, "Motion of a sphere in the presence of a plane interface. Part 1. An approximate solution by generalization of the method of Lorentz," J. Fluid Mech. JFLSA70022-112010.1017/S0022112079001981 93, 705 (1979).
    • (1979) J. Fluid Mech. , vol.93 , pp. 705
    • Lee, S.H.1    Chadwick, R.S.2    Leal, L.G.3
  • 20
    • 0033909065 scopus 로고    scopus 로고
    • "General slow viscous flows in a two-fluid system"
    • SUGKAQ0039-470X
    • D. Palaniappan, "General slow viscous flows in a two-fluid system," Sugaku SUGKAQ0039-470X 139, 1 (2000).
    • (2000) Sugaku , vol.139 , pp. 1
    • Palaniappan, D.1
  • 21
    • 0028445735 scopus 로고
    • "Electrokinetic properties of suspensions of colloidal particles with thin, polarized double layers"
    • JCISA50021-979710.1006/jcis.1994.1220
    • S.-Y. Kang and A. S. Sangani, "Electrokinetic properties of suspensions of colloidal particles with thin, polarized double layers," J. Colloid Interface Sci. JCISA50021-979710.1006/ jcis.1994.1220 165, 195 (1994).
    • (1994) J. Colloid Interface Sci. , vol.165 , pp. 195
    • Kang, S.-Y.1    Sangani, A.S.2
  • 22
    • 0001454828 scopus 로고
    • "The slow motion of a sphere through a viscous fluid towards a plane surface"
    • CESCAC0009-250910.1016/0009-2509(61)80035-3
    • H. Brenner, "The slow motion of a sphere through a viscous fluid towards a plane surface," Chem. Eng. Sci. CESCAC0009-250910.1016/ 0009-2509(61)80035-3 16, 242 (1961).
    • (1961) Chem. Eng. Sci. , vol.16 , pp. 242
    • Brenner, H.1
  • 23
    • 0000116361 scopus 로고
    • "Slow viscous motion of a sphere parallel to a plane wall. I. Motion through a quiescent flow"
    • CESCAC0009-250910.1016/0009-2509(67)80047-2
    • A. J. Goldman, R. G. Cox, and H. Brenner, "Slow viscous motion of a sphere parallel to a plane wall. I. Motion through a quiescent flow," Chem. Eng. Sci. CESCAC0009-250910.1016/0009-2509(67)80047-2 22, 637 (1967).
    • (1967) Chem. Eng. Sci. , vol.22 , pp. 637
    • Goldman, A.J.1    Cox, R.G.2    Brenner, H.3
  • 24
    • 0008884532 scopus 로고
    • "Slow motion of a sphere parallel to a plane wall. II. Couette flow"
    • CESCAC0009-250910.1016/0009-2509(67)80048-4
    • A. J. Goldman, R. G. Cox, and H. Brenner, "Slow motion of a sphere parallel to a plane wall. II. Couette flow," Chem. Eng. Sci. CESCAC0009-250910.1016/0009-2509(67)80048-4 22, 653 (1967).
    • (1967) Chem. Eng. Sci. , vol.22 , pp. 653
    • Goldman, A.J.1    Cox, R.G.2    Brenner, H.3
  • 25
    • 0000907976 scopus 로고
    • "A sphere in contact with a plane wall in a slow linear shear flow"
    • CESCAC0009-250910.1016/0009-2509(68)89039-6
    • M. E. O'Neill, "A sphere in contact with a plane wall in a slow linear shear flow," Chem. Eng. Sci. CESCAC0009-250910.1016/ 0009-2509(68)89039-6 23, 1293 (1968).
    • (1968) Chem. Eng. Sci. , vol.23 , pp. 1293
    • O'Neill, M.E.1
  • 26
    • 0001198260 scopus 로고
    • "Hydrodynamic interaction of a spherical particle with a planar boundary. II. Hard wall"
    • PHYADX0378-437110.1016/0378-4371(92)90056-V
    • G. S. Perkins and R. B. Jones, "Hydrodynamic interaction of a spherical particle with a planar boundary. II. Hard wall," Physica A PHYADX0378-437110.1016/0378-4371(92)90056-V 189, 447 (1992).
    • (1992) Physica A , vol.189 , pp. 447
    • Perkins, G.S.1    Jones, R.B.2
  • 27
    • 0030850835 scopus 로고    scopus 로고
    • "Shear flow over a protuberance on a plane wall"
    • JLEMAU0022-083310.1023/A:1004230831667
    • C. Pozrikidis, "Shear flow over a protuberance on a plane wall," J. Eng. Math. JLEMAU0022-083310.1023/A:1004230831667 31, 29 (1997).
    • (1997) J. Eng. Math , vol.31 , pp. 29
    • Pozrikidis, C.1
  • 28
    • 0038383166 scopus 로고    scopus 로고
    • "Creeping flow around a sphere in a shear flow close to a wall"
    • QJMMAV0033-561410.1093/qjmam/56.3.381
    • M. Chaoui and F. Feuillebois, "Creeping flow around a sphere in a shear flow close to a wall," Q. J. Mech. Appl. Math.QJMMAV0033-561410.1093/qjmam/56.3.381 56, 381 (2003).
    • (2003) Q. J. Mech. Appl. Math , vol.56 , pp. 381
    • Chaoui, M.1    Feuillebois, F.2
  • 29
    • 33845880666 scopus 로고    scopus 로고
    • "A sphere in a second degree polynomial creeping flow parallel to a wall"
    • QJMMAV0033-561410.1093/qjmam/hbl018
    • L. Pasol, A. Sellier, and F. Feuillebois, "A sphere in a second degree polynomial creeping flow parallel to a wall," Q. J. Mech. Appl. Math. QJMMAV0033-561410.1093/qjmam/hbl018 59, 587 (2006).
    • (2006) Q. J. Mech. Appl. Math , vol.59 , pp. 587
    • Pasol, L.1    Sellier, A.2    Feuillebois, F.3
  • 30
    • 0000253982 scopus 로고
    • "The motion of two spheres in a viscous fluid"
    • PRLAAZ0950-120710.1098/rspa.1926.0053
    • M. Stimson and G. B. Jeffery, "The motion of two spheres in a viscous fluid," Proc. R. Soc. London, Ser. A PRLAAZ0950-120710.1098/ rspa.1926.0053 111, 110 (1926).
    • (1926) Proc. R. Soc. London, Ser. A , vol.111 , pp. 110
    • Stimson, M.1    Jeffery, G.B.2
  • 31
    • 84915035211 scopus 로고
    • "A new technique for treating multiparticle slow viscous flow: Axisymmetric flow past spheres and spheroids"
    • JFLSA70022-112010.1017/S0022112071002854
    • M. J. Gluckman, R. Pfeffer, and S. Weinbaum, "A new technique for treating multiparticle slow viscous flow: Axisymmetric flow past spheres and spheroids," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112071002854 50, 705 (1971).
    • (1971) J. Fluid Mech , vol.50 , pp. 705
    • Gluckman, M.J.1    Pfeffer, R.2    Weinbaum, S.3
  • 32
    • 0035861629 scopus 로고    scopus 로고
    • "Slow motion of a droplet between two parallel plane walls"
    • CESCAC0009-250910.1016/S0009-2509(01)00323-2
    • H. J. Keh and P. Y. Chen, "Slow motion of a droplet between two parallel plane walls," Chem. Eng. Sci. CESCAC0009-250910.1016/ S0009-2509(01)00323-2 56, 6863 (2001).
    • (2001) Chem. Eng. Sci. , vol.56 , pp. 6863
    • Keh, H.J.1    Chen, P.Y.2
  • 33
    • 33646343787 scopus 로고    scopus 로고
    • "Slow motion of a slip spherical particle perpendicular to two plane walls"
    • ZZZZZZ0889-9746
    • Y. C. Chang and H. J. Keh, "Slow motion of a slip spherical particle perpendicular to two plane walls," J. Fluids Struct. ZZZZZZ0889-9746 22, 647 (2006).
    • (2006) J. Fluids Struct , vol.22 , pp. 647
    • Chang, Y.C.1    Keh, H.J.2
  • 34
    • 5244267154 scopus 로고
    • "The forces and couples acting on two nearly touching spheres in low-Reynolds-number flow"
    • ZAMPA80044-227510.1007/BF00952109
    • D. J. Jeffrey and Y. Onishi, "The forces and couples acting on two nearly touching spheres in low-Reynolds-number flow," Z. Angew. Math. Phys. ZAMPA80044-227510.1007/BF00952109 35, 634 (1984).
    • (1984) Z. Angew. Math. Phys , vol.35 , pp. 634
    • Jeffrey, D.J.1    Onishi, Y.2
  • 35
    • 0028112140 scopus 로고
    • "Inclusion of lubrication forces in dynamic simulations"
    • PHFLE61070-663110.1063/1.868228
    • A. S. Sangani and G. Mo, "Inclusion of lubrication forces in dynamic simulations," Phys. Fluids PHFLE61070-663110.1063/1.868228 6, 1653 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 1653
    • Sangani, A.S.1    Mo, G.2
  • 37
    • 0037830988 scopus 로고    scopus 로고
    • "Motion of a particle between two parallel plane walls in low-Reynolds-number Poiseuille flow"
    • PHFLE61070-663110.1063/1.1568341
    • M. E. Staben, A. Z. Zinchenko, and R. H. Davis, "Motion of a particle between two parallel plane walls in low-Reynolds-number Poiseuille flow," Phys. Fluids PHFLE61070-663110.1063/1.1568341 15, 1711 (2003).
    • (2003) Phys. Fluids , vol.15 , pp. 1711
    • Staben, M.E.1    Zinchenko, A.Z.2    Davis, R.H.3
  • 38
    • 33645671975 scopus 로고    scopus 로고
    • "Dynamic simulation of spheroid motion between two parallel plane walls in low-Reynolds-number Poiseuille flow"
    • JFLSA70022-112010.1017/S0022112006008731
    • M. E. Staben, A. Z. Zinchenko, and R. H. Davis, "Dynamic simulation of spheroid motion between two parallel plane walls in low-Reynolds-number Poiseuille flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006008731 553, 187 (2006).
    • (2006) J. Fluid Mech , vol.553 , pp. 187
    • Staben, M.E.1    Zinchenko, A.Z.2    Davis, R.H.3
  • 39
    • 27744555446 scopus 로고    scopus 로고
    • "Hydrodynamic interactions of spherical particles in suspensions confined between two planar walls"
    • JFLSA70022-112010.1017/S0022112005005938
    • S. Bhattacharya, J. Blawzdziewicz, and E. Wajnryb, "Hydrodynamic interactions of spherical particles in suspensions confined between two planar walls," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112005005938 541, 263 (2005).
    • (2005) J. Fluid Mech , vol.541 , pp. 263
    • Bhattacharya, S.1    Blawzdziewicz, J.2    Wajnryb, E.3
  • 40
    • 33744812153 scopus 로고    scopus 로고
    • "Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls"
    • PHFLE61070-663110.1063/1.2195992
    • S. Bhattacharya, J. Blawzdziewicz, and E. Wajnryb, "Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls," Phys. Fluids PHFLE61070-663110.1063/1.2195992 18, 053301 (2006).
    • (2006) Phys. Fluids , vol.18 , pp. 053301
    • Bhattacharya, S.1    Blawzdziewicz, J.2    Wajnryb, E.3
  • 42
    • 0002091413 scopus 로고
    • "Non-linear transformations of divergent and slowly convergent sequences"
    • JMAPAQ0022-248810.1063/1.530375
    • D. Shanks, "Non-linear transformations of divergent and slowly convergent sequences," J. Math. Phys. JMAPAQ0022-248810.1063/ 1.530375 34, 1 (1955).
    • (1955) J. Math. Phys , vol.34 , pp. 1
    • Shanks, D.1
  • 43
    • 29144521806 scopus 로고    scopus 로고
    • "Far-field approximation for hydrodynamic interactions in parallel-wall geometry"
    • JCTPAH0021-999110.1016/j.jcp.2005.07.015
    • S. Bhattacharya, J. Blawzdziewicz, and E. Wajnryb, "Far-field approximation for hydrodynamic interactions in parallel-wall geometry," J. Comput. Phys. JCTPAH0021-999110.1016/ j.jcp.2005.07.015 212, 718 (2006).
    • (2006) J. Comput. Phys , vol.212 , pp. 718
    • Bhattacharya, S.1    Blawzdziewicz, J.2    Wajnryb, E.3


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