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Volumn 35, Issue 3, 1999, Pages 251-272

The draining of a two-dimensional bubble

Author keywords

Asymptotic expansions; Bubbles; Surface tension; Thin liquid films

Indexed keywords

BOUNDARY CONDITIONS; CAPILLARITY; COMPUTATIONAL FLUID DYNAMICS; LUBRICATION; SURFACE TENSION; THIN FILMS; VISCOUS FLOW;

EID: 0032856444     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004399105606     Document Type: Article
Times cited : (47)

References (28)
  • 1
    • 0017898654 scopus 로고
    • The film drainage problem in droplet coalescence
    • A. F. Jones and S. D. R. Wilson, The film drainage problem in droplet coalescence. J. Fluid Mech. 87 (1978) 263-288.
    • (1978) J. Fluid Mech. , vol.87 , pp. 263-288
    • Jones, A.F.1    Wilson, S.D.R.2
  • 2
    • 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 (1989) 123-146.
    • (1989) J. Fluid Mech. , vol.201 , pp. 123-146
    • Chi, B.K.1    Leal, L.G.2
  • 3
    • 0026799587 scopus 로고
    • The unsteady motion of a bubble or drop towards a liquid-liquid interface
    • P. J. Shopov and P.D. Minev, The unsteady motion of a bubble or drop towards a liquid-liquid interface. J. Fluid Mech. 235 (1992) 123-141.
    • (1992) J. Fluid Mech. , vol.235 , pp. 123-141
    • Shopov, P.J.1    Minev, P.D.2
  • 4
    • 84972264573 scopus 로고
    • On the development of fluid trapping beneath deformable fluid-cell membranes
    • R. Wu and S. Weinbaum, On the development of fluid trapping beneath deformable fluid-cell membranes. J Fluid Mech. 121 (1982) 315-343.
    • (1982) J Fluid Mech. , vol.121 , pp. 315-343
    • Wu, R.1    Weinbaum, S.2
  • 5
    • 0020180179 scopus 로고
    • Thinning of a liquid film as a small drop or bubble approaches a fluid-fluid interface
    • C.-Y. Lin and J. C. Slattery, Thinning of a liquid film as a small drop or bubble approaches a fluid-fluid interface. AIChE J. 28 (1982) 787-792.
    • (1982) AIChE J. , vol.28 , pp. 787-792
    • Lin, C.-Y.1    Slattery, J.C.2
  • 6
    • 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 (1990) 547-573.
    • (1990) J. Fluid Mech. , vol.217 , pp. 547-573
    • Yiantsios, S.G.1    Davis, R.H.2
  • 7
    • 0021461987 scopus 로고
    • Coalescence time for a small drop or bubble at a fluid-fluid interface
    • J.-D. Chen, P. S. Hahn and J. C. Slattery, Coalescence time for a small drop or bubble at a fluid-fluid interface. AIChE J. 30 (1984) 622-630.
    • (1984) AIChE J. , vol.30 , pp. 622-630
    • Chen, J.-D.1    Hahn, P.S.2    Slattery, J.C.3
  • 8
    • 0022360081 scopus 로고
    • Effects of London-van der Waals forces on the thinning and rupture of a dimpled liquid film as a small drop of bubble approaches a fluid-fluid interface
    • P.-S. Hahn, J.-D. Chen and J. C. Slattery, Effects of London-van der Waals forces on the thinning and rupture of a dimpled liquid film as a small drop of bubble approaches a fluid-fluid interface. AIChE J. 31 (1985) 2026-2038.
    • (1985) AIChE J. , vol.31 , pp. 2026-2038
    • Hahn, P.-S.1    Chen, J.-D.2    Slattery, J.C.3
  • 9
    • 0032165809 scopus 로고    scopus 로고
    • Thin films with high surface tension
    • To appear
    • T. G. Myers, Thin films with high surface tension. SIAM Rev. 40 (1998). To appear.
    • (1998) SIAM Rev. , vol.40
    • Myers, T.G.1
  • 10
    • 0001147919 scopus 로고    scopus 로고
    • Models for thin viscous sheets
    • P. D. Howell, Models for thin viscous sheets. Eur. J. Appl. Maths 7 (1996) 321-343.
    • (1996) Eur. J. Appl. Maths , vol.7 , pp. 321-343
    • Howell, P.D.1
  • 11
    • 0000700202 scopus 로고
    • The flow of a tubular film Part 1. Formal mathematical representation
    • J. R. A. Pearson and C. J. S. Petrie, The flow of a tubular film Part 1. Formal mathematical representation. J. Fluid Mech. 42 (1970) 609-625.
    • (1970) J. Fluid Mech. , vol.42 , pp. 609-625
    • Pearson, J.R.A.1    Petrie, C.J.S.2
  • 13
    • 36449004332 scopus 로고
    • Nonlinear rupture of free films
    • T. Erneux and S. H. Davis, Nonlinear rupture of free films. Phys. Fluids A 5 (1993) 1117-1122.
    • (1993) Phys. Fluids A , vol.5 , pp. 1117-1122
    • Erneux, T.1    Davis, S.H.2
  • 14
    • 0030269410 scopus 로고    scopus 로고
    • Strong nonlinear rupture theory of thin free liquid films
    • C.-C. Hwang, J.-L. Chen, L.-F. Shen and C.-I. Weng, Strong nonlinear rupture theory of thin free liquid films. Physica A 231 (1996) 448-460.
    • (1996) Physica A , vol.231 , pp. 448-460
    • Hwang, C.-C.1    Chen, J.-L.2    Shen, L.-F.3    Weng, C.-I.4
  • 15
    • 0003732733 scopus 로고
    • Dynamics of a lamella in a capillary tube
    • M. P. Ida and M. J. Miksis, Dynamics of a lamella in a capillary tube. SIAM J. Appl. Math. 55 (1995) 23-57.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 23-57
    • Ida, M.P.1    Miksis, M.J.2
  • 17
    • 0028056047 scopus 로고
    • Nonlinear evolution equations for thin liquid films with insoluble surfactants
    • A. De Witt, D. Gallez and C. I Christov, Nonlinear evolution equations for thin liquid films with insoluble surfactants. Phys. Fluids 6 (1994) 3256-3266.
    • (1994) Phys. Fluids , vol.6 , pp. 3256-3266
    • De Witt, A.1    Gallez, D.2    Christov, C.I.3
  • 18
    • 0030494009 scopus 로고    scopus 로고
    • Nonlinear rupture theory of a thin free liquid film with insoluble surfactant
    • C.-C. Hwang, J.-L. Chen and L.-F. Shen, Nonlinear rupture theory of a thin free liquid film with insoluble surfactant. J. Phys. Soc. Japan 65 (1996) 2494-2501.
    • (1996) J. Phys. Soc. Japan , vol.65 , pp. 2494-2501
    • Hwang, C.-C.1    Chen, J.-L.2    Shen, L.-F.3
  • 19
    • 84855585199 scopus 로고
    • The motion of long bubbles in tubes
    • F. P. Bretherton, The motion of long bubbles in tubes. J. Fluid Mech. 10 (1961) 166-188.
    • (1961) J. Fluid Mech. , vol.10 , pp. 166-188
    • Bretherton, F.P.1
  • 21
    • 0004272729 scopus 로고
    • Cambridge University Press 615pp.
    • G. K. Batchelor, Fluid Dynamics. Cambridge University Press (1967) 615pp.
    • (1967) Fluid Dynamics
    • Batchelor, G.K.1
  • 22
    • 84971928376 scopus 로고
    • Two-dimensional slow viscous flows with time-dependent free boundaries driven by surface tension
    • S. Richardson, Two-dimensional slow viscous flows with time-dependent free boundaries driven by surface tension. Eur. J. Appl. Maths 3 (1992) 193-207.
    • (1992) Eur. J. Appl. Maths , vol.3 , pp. 193-207
    • Richardson, S.1
  • 23
    • 0031341912 scopus 로고    scopus 로고
    • Modelling foam drainage
    • R, C, Darton (ed.). Rugby, UK: Institution of Chemical Engineers
    • C. J. W. Breward, R. C. Darton, P. D. Howell and J. R. Ockendon, Modelling foam drainage. In: R, C, Darton (ed.), Distillation and Absorption '97, volume 2. Rugby, UK: Institution of Chemical Engineers (1997) pp.1009-1019.
    • (1997) Distillation and Absorption '97 , vol.2 , pp. 1009-1019
    • Breward, C.J.W.1    Darton, R.C.2    Howell, P.D.3    Ockendon, J.R.4
  • 25
    • 0026386548 scopus 로고
    • On the shape of small sessile and pendant drops by singular perturbation techniques
    • S. B. G. O'Brien, On the shape of small sessile and pendant drops by singular perturbation techniques. J. Fluid Mech. 233 (1991) 519-537.
    • (1991) J. Fluid Mech. , vol.233 , pp. 519-537
    • O'Brien, S.B.G.1
  • 26
    • 0016057299 scopus 로고
    • The meniscus on the outside of a small circular cylinder
    • D. F. James, The meniscus on the outside of a small circular cylinder. J. Fluid Mech. 63 (1974) 657-664.
    • (1974) J. Fluid Mech. , vol.63 , pp. 657-664
    • James, D.F.1
  • 27
    • 0020790248 scopus 로고
    • The meniscus on a needle - A lesson in matching
    • L. L. Lo, The meniscus on a needle - a lesson in matching. J. Fluid Mech. 132 (1983) 65-78.
    • (1983) J. Fluid Mech. , vol.132 , pp. 65-78
    • Lo, L.L.1
  • 28
    • 0030194263 scopus 로고    scopus 로고
    • An asymptotic analysis of small holes in thin fluid layers
    • S. K. Wilson and B. R. Duffy, An asymptotic analysis of small holes in thin fluid layers. J. Engng Maths 30 (1996) 445-457.
    • (1996) J. Engng Maths , vol.30 , pp. 445-457
    • Wilson, S.K.1    Duffy, B.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.