메뉴 건너뛰기




Volumn 14, Issue 12, 2002, Pages 4216-4234

Nonlinear evolution of thin free viscous films in the presence of soluble surfactant

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; SURFACE ACTIVE AGENTS; VISCOSITY; VISCOUS FLOW;

EID: 0036953361     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1516597     Document Type: Article
Times cited : (63)

References (58)
  • 1
    • 0031480080 scopus 로고    scopus 로고
    • Long-scale evolution of thin liquid films
    • A. Oron, S. H. Davis, and S.G. Bankoff, "Long-scale evolution of thin liquid films," Rev. Mod. Phys. 69, 931 (1997).
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 931
    • Oron, A.1    Davis, S.H.2    Bankoff, S.G.3
  • 2
    • 0000608366 scopus 로고
    • The definition and magnitude of disjoining pressure and its role in the statics and dynamics of thin liquid films
    • B. V. Deryagin. "The definition and magnitude of disjoining pressure and its role in the statics and dynamics of thin liquid films." Colloid J. USSR 17, 207 (1955).
    • (1955) Colloid J. USSR , vol.17 , pp. 207
    • Deryagin, B.V.1
  • 3
    • 0002887524 scopus 로고
    • Stability of stagnant viscous films on a solid substrate
    • R. K. Jain and E. Ruckenstein, "Stability of stagnant viscous films on a solid substrate." J. Colloid Interface Sci. 54, 108 (1976).
    • (1976) J. Colloid Interface Sci. , vol.54 , pp. 108
    • Jain, R.K.1    Ruckenstein, E.2
  • 5
    • 0343941584 scopus 로고
    • An analytical nonlinear theory of thin film rupture and its application to wetting films
    • A. Sharma and E. Ruckenstein, "An analytical nonlinear theory of thin film rupture and its application to wetting films," J. Colloid Interface Sci. 113, 456 (1986).
    • (1986) J. Colloid Interface Sci. , vol.113 , pp. 456
    • Sharma, A.1    Ruckenstein, E.2
  • 6
    • 84972262906 scopus 로고
    • Nonlinear stability of evaporating condensing liquid-films
    • J. P. Burelbach, S. G. Bankoff, and S. H. Davis, "Nonlinear stability of evaporating condensing liquid-films," J. Fluid Mech. 195, 463 (1988).
    • (1988) J. Fluid Mech. , vol.195 , pp. 463
    • Burelbach, J.P.1    Bankoff, S.G.2    Davis, S.H.3
  • 7
    • 0013545013 scopus 로고
    • Nonlinear stability analysis for animal cell adhesion to solid support
    • D. Gallez, "Nonlinear stability analysis for animal cell adhesion to solid support," Colloids Surf., B 2, 273 (1994).
    • (1994) Colloids Surf. , vol.2 B , pp. 273
    • Gallez, D.1
  • 8
    • 0032368532 scopus 로고    scopus 로고
    • Long-wave instabilities and saturation in thin film equations
    • A. L. Bertozzi and M. Pugh, "Long-wave instabilities and saturation in thin film equations," Commun. Pure Appl. Math. 51, 625 (1998).
    • (1998) Commun. Pure Appl. Math. , vol.51 , pp. 625
    • Bertozzi, A.L.1    Pugh, M.2
  • 9
    • 0000226749 scopus 로고    scopus 로고
    • Pattern formation in thin liquid films with insoluble surfactants
    • E. R. de Souza and D. Gallez, "Pattern formation in thin liquid films with insoluble surfactants," Phys. Fluids 10, 1804 (1998).
    • (1998) Phys. Fluids , vol.10 , pp. 1804
    • de Souza, E.R.1    Gallez, D.2
  • 10
    • 0026803604 scopus 로고
    • Insoluble surfactant spreading on a thin viscous film: Shock evolution and film rupture
    • O. E. Jensen and J. B. Grotberg, "Insoluble surfactant spreading on a thin viscous film: Shock evolution and film rupture," J. Fluid Mech. 240, 259 (1992).
    • (1992) J. Fluid Mech. , vol.240 , pp. 259
    • Jensen, O.E.1    Grotberg, J.B.2
  • 11
    • 0000079826 scopus 로고    scopus 로고
    • Similarity solutions for van der Waals rupture of a thin film on a solid substrate
    • W. W. Zhang and J. R. Lister, "Similarity solutions for van der Waals rupture of a thin film on a solid substrate," Phys. Fluids 11, 2454 (1999).
    • (1999) Phys. Fluids , vol.11 , pp. 2454
    • Zhang, W.W.1    Lister, J.R.2
  • 12
    • 0000411594 scopus 로고    scopus 로고
    • Stability of self-similar solutions for van der Waals driven thin film rupture
    • T. P. Witelski and A. J. Bernoff, "Stability of self-similar solutions for van der Waals driven thin film rupture," Phys. Fluids 11, 2443 (1999).
    • (1999) Phys. Fluids , vol.11 , pp. 2443
    • Witelski, T.P.1    Bernoff, A.J.2
  • 13
    • 0001308562 scopus 로고    scopus 로고
    • The development of transient fingering patterns during the spreading of surfactant coated films
    • O. K. Matar and S. M. Troian, "The development of transient fingering patterns during the spreading of surfactant coated films," Phys. Fluids 11, 3232 (1999).
    • (1999) Phys. Fluids , vol.11 , pp. 3232
    • Matar, O.K.1    Troian, S.M.2
  • 14
    • 0034517240 scopus 로고    scopus 로고
    • Dynamics of three-dimensional thin film rupture
    • T. P. Witelski and A. J. Bernoff, "Dynamics of three-dimensional thin film rupture," Physica D 147, 155 (2000).
    • (2000) Physica D , vol.147 , pp. 155
    • Witelski, T.P.1    Bernoff, A.J.2
  • 15
    • 0035893598 scopus 로고    scopus 로고
    • Long-scale evolution of thin liquid films bounded by a viscous phase with diffusing charged surfactants
    • E. R. de Souza, C. Anteneodo, D. Gallez, and P. M. Bisch, "Long-scale evolution of thin liquid films bounded by a viscous phase with diffusing charged surfactants," J. Colloid Interface Sci. 244, 303 (2001).
    • (2001) J. Colloid Interface Sci. , vol.244 , pp. 303
    • de Souza, E.R.1    Anteneodo, C.2    Gallez, D.3    Bisch, P.M.4
  • 16
    • 0036571684 scopus 로고    scopus 로고
    • Unstable van der Waals driven rupture in Marangoni driven thin liquid films
    • M. R. E. Warner, R. V. Craster, and O. K. Matar, "Unstable van der Waals driven rupture in Marangoni driven thin liquid films," Phys. Fluids 14. 1642 (2002).
    • (2002) Phys. Fluids , vol.14 , pp. 1642
    • Warner, M.R.E.1    Craster, R.V.2    Matar, O.K.3
  • 17
    • 1842669003 scopus 로고
    • Investigation of the stability of a moving liquid film
    • H. B. Squire, "Investigation of the stability of a moving liquid film," Br. J. Appl. Phys. 4, 167 (1953).
    • (1953) Br. J. Appl. Phys. , vol.4 , pp. 167
    • Squire, H.B.1
  • 18
    • 0000409945 scopus 로고
    • The dynamics of thin sheets of fluid, II-waves on fluid sheets
    • Ser. A
    • G. I. Taylor, "The dynamics of thin sheets of fluid, II-waves on fluid sheets," Proc. R. Soc. London, Ser. A 253, 296 (1959).
    • (1959) Proc. R. Soc. London , vol.253 , pp. 296
    • Taylor, G.I.1
  • 19
    • 36849113219 scopus 로고
    • Dynamics of free liquid films
    • B. U. Felderhof, "Dynamics of free liquid films," J. Chem. Phys. 49, 44 (1968).
    • (1968) J. Chem. Phys. , vol.49 , pp. 44
    • Felderhof, B.U.1
  • 22
    • 36549101780 scopus 로고
    • Nonlinear rupture of thin free liquid films
    • M. Prevost and D. Gallez, "Nonlinear rupture of thin free liquid films," J. Chem. Phys. 84, 4043 (1986).
    • (1986) J. Chem. Phys. , vol.84 , pp. 4043
    • Prevost, M.1    Gallez, D.2
  • 23
    • 0026897575 scopus 로고
    • Stability of thin evaporating/condensing films in the presence of surfactants
    • D. Hatziavramidis, "Stability of thin evaporating/condensing films in the presence of surfactants," Int. J. Multiphase Flow 18, 517 (1992).
    • (1992) Int. J. Multiphase Flow , vol.18 , pp. 517
    • Hatziavramidis, D.1
  • 25
    • 36449004332 scopus 로고
    • Nonlinear rupture of free films
    • B. T. Erneux and S. H. Davis, "Nonlinear rupture of free films," Phys. Fluids A 5, 1117 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 1117
    • Erneux, B.T.1    Davis, S.H.2
  • 26
    • 0028056047 scopus 로고
    • Nonlinear evolution equations for thin liquid films with insoluble surfactants
    • A. De Wit, D. Gallez, and C. I. Christov, "Nonlinear evolution equations for thin liquid films with insoluble surfactants," Phys. Fluids 6, 3256 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 3256
    • De Wit, A.1    Gallez, D.2    Christov, C.I.3
  • 27
    • 0035339756 scopus 로고    scopus 로고
    • Rupture of thin viscous films by van der Waals forces: Evolution and self-similarity
    • D. Vaynblat, J. R. Lister, and T. P. Witelski, "Rupture of thin viscous films by van der Waals forces: Evolution and self-similarity," Phys. Fluids 13, 1130 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 1130
    • Vaynblat, D.1    Lister, J.R.2    Witelski, T.P.3
  • 28
    • 0035640212 scopus 로고    scopus 로고
    • Symmetry and self-similarity in rupture and pinchoff: A geometric bifurcation
    • D. Vaynblat, J. R. Lister, and T. P. Witelski, "Symmetry and self-similarity in rupture and pinchoff: A geometric bifurcation," Eur. J. Appl. Math. 12, 209 (2001).
    • (2001) Eur. J. Appl. Math. , vol.12 , pp. 209
    • Vaynblat, D.1    Lister, J.R.2    Witelski, T.P.3
  • 29
    • 0035840179 scopus 로고    scopus 로고
    • The dynamics of a viscous soap film with soluble surfactant
    • J.-M. Chomaz, "The dynamics of a viscous soap film with soluble surfactant," J. Fluid Mech. 442, 387 (2001).
    • (2001) J. Fluid Mech. , vol.442 , pp. 387
    • Chomaz, J.-M.1
  • 30
    • 0001589281 scopus 로고    scopus 로고
    • Nonlinear dynamics and breakup of free-surface flows
    • J. Eggers, "Nonlinear dynamics and breakup of free-surface flows," Rev. Mod. Phys. 69. 865 (1997).
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 865
    • Eggers, J.1
  • 32
    • 36749114974 scopus 로고
    • Dynamics of freely suspended lyotropic films: An inelastic light scattering study of thermal surface fluctuations
    • C. Y. Young and N. A. Clark, "Dynamics of freely suspended lyotropic films: An inelastic light scattering study of thermal surface fluctuations," J. Chem. Phys. 74, 4171 (1981).
    • (1981) J. Chem. Phys. , vol.74 , pp. 4171
    • Young, C.Y.1    Clark, N.A.2
  • 33
    • 36549100164 scopus 로고
    • Spectral analysis of light scattered by liquid films
    • J. G. H. Joosten, "Spectral analysis of light scattered by liquid films." J. Chem. Phys. 80, 2363 (1984).
    • (1984) J. Chem. Phys. , vol.80 , pp. 2363
    • Joosten, J.G.H.1
  • 34
    • 0035449270 scopus 로고    scopus 로고
    • An insoluble surfactant model for a vertical draining free film with variable surface viscosity
    • S. Naire, R. J. Braun, and S. A. Snow, "An insoluble surfactant model for a vertical draining free film with variable surface viscosity, Phys. Fluids 13, 2492 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 2492
    • Naire, S.1    Braun, R.J.2    Snow, S.A.3
  • 35
    • 0034912176 scopus 로고    scopus 로고
    • Limiting cases of gravitational drainage of a vertical free film for evaluating surfactants
    • S. Naire, R. J. Braun, and S. A. Snow, "Limiting cases of gravitational drainage of a vertical free film for evaluating surfactants," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math 61, 889 (2000).
    • (2000) SIAM (Soc. Ind. Appl. Math.) J. Appl. Math , vol.61 , pp. 889
    • Naire, S.1    Braun, R.J.2    Snow, S.A.3
  • 36
    • 0034307199 scopus 로고    scopus 로고
    • An insoluble surfactant model for a vertical draining free film
    • S. Naire, R. J. Braun, and S. A. Snow, "An insoluble surfactant model for a vertical draining free film," J. Colloid Interface Sci. 230, 106 (2000).
    • (2000) J. Colloid Interface Sci. , vol.230 , pp. 106
    • Naire, S.1    Braun, R.J.2    Snow, S.A.3
  • 37
    • 0033213995 scopus 로고    scopus 로고
    • Modelling draining flow in mobile and immobile soap films
    • L. W. Schwartz and R. V. Roy, "Modelling draining flow in mobile and immobile soap films," J. Colloid Interface Sci. 218, 309 (1999).
    • (1999) J. Colloid Interface Sci. , vol.218 , pp. 309
    • Schwartz, L.W.1    Roy, R.V.2
  • 38
    • 0027391642 scopus 로고
    • The spreading of heat or soluble surfactant along a thin film
    • O. E. Jensen and J. B. Grotberg, "The spreading of heat or soluble surfactant along a thin film," Phys. Fluids A 5, 58 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 58
    • Jensen, O.E.1    Grotberg, J.B.2
  • 39
    • 0034669385 scopus 로고    scopus 로고
    • A nonlinear rupture theory of thin liquid films with soluble surfactant
    • C. K. Lin, C. C. Hwang, and W. Y. Uen, "A nonlinear rupture theory of thin liquid films with soluble surfactant," J. Colloid Interface Sci. 231, 379 (2000).
    • (2000) J. Colloid Interface Sci. , vol.231 , pp. 379
    • Lin, C.K.1    Hwang, C.C.2    Uen, W.Y.3
  • 40
    • 0035398711 scopus 로고    scopus 로고
    • Models for Marangoni drying
    • O. K. Matar and R. V. Craster. "Models for Marangoni drying," Phys. Fluids 13, 1869 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 1869
    • Matar, O.K.1    Craster, R.V.2
  • 44
    • 0032189402 scopus 로고    scopus 로고
    • Direct determination of the dependence of the surface shear and dilatational viscosities on the thermodynamic state of the interface: Theoretical foundations
    • J. M. Lopez and A. Hirsa, "Direct determination of the dependence of the surface shear and dilatational viscosities on the thermodynamic state of the interface: Theoretical foundations," J. Colloid Interface Sci. 206, 231 (1998).
    • (1998) J. Colloid Interface Sci. , vol.206 , pp. 231
    • Lopez, J.M.1    Hirsa, A.2
  • 45
    • 0034665908 scopus 로고    scopus 로고
    • Surfactant-influenced gas-liquid interfaces: Nonlinear equation of state and finite surface viscosities
    • J. M. Lopez and A. Hirsa, "Surfactant-influenced gas-liquid interfaces: Nonlinear equation of state and finite surface viscosities," J. Colloid Interface Sci. 229, 575 (2000).
    • (2000) J. Colloid Interface Sci. , vol.229 , pp. 575
    • Lopez, J.M.1    Hirsa, A.2
  • 46
    • 0036538636 scopus 로고    scopus 로고
    • Pinchoff and satellite formation of surfactant covered viscous films
    • R. V. Craster, O. K. Matar, and D. T. Papageorgiou, "Pinchoff and satellite formation of surfactant covered viscous films," Phys. Fluids 14. 1364 (2002).
    • (2002) Phys. Fluids , vol.14 , pp. 1364
    • Craster, R.V.1    Matar, O.K.2    Papageorgiou, D.T.3
  • 47
    • 0037172621 scopus 로고    scopus 로고
    • The effect of surfactant on the stability of a liquid thread
    • M.-L. E. Timmermans and J. R. Lister, "The effect of surfactant on the stability of a liquid thread," J. Fluid Mech. 459, 289 (2002).
    • (2002) J. Fluid Mech. , vol.459 , pp. 289
    • Timmermans, M.-L.E.1    Lister, J.R.2
  • 48
    • 0034224182 scopus 로고    scopus 로고
    • External dissipation in driven two-dimensional turbulence
    • M. Rivera and X. L. Wu, "External dissipation in driven two-dimensional turbulence," Phys. Rev. Lett. 85, 976 (2000).
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 976
    • Rivera, M.1    Wu, X.L.2
  • 50
    • 36549104052 scopus 로고
    • A simple derivation of the time-dependent convective-diffusion equation for surfactant transport along a deforming interface
    • H. A. Stone, "A simple derivation of the time-dependent convective-diffusion equation for surfactant transport along a deforming interface," Phys. Fluids A 2, 111 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 111
    • Stone, H.A.1
  • 51
    • 0031191120 scopus 로고    scopus 로고
    • Decay of standing foams: Drainage, coalescence and collapse
    • A. Bhakta and E. Ruckenstein, "Decay of standing foams: drainage, coalescence and collapse," Adv. Colloid Interface Sci. 70, 1 (1997).
    • (1997) Adv. Colloid Interface Sci. , vol.70 , pp. 1
    • Bhakta, A.1    Ruckenstein, E.2
  • 52
    • 0034518097 scopus 로고    scopus 로고
    • Surfactant transport on mucus films
    • R. V. Craster and O. K. Matar, "Surfactant transport on mucus films," J. Fluid Mech. 425, 235 (2000).
    • (2000) J. Fluid Mech. , vol.425 , pp. 235
    • Craster, R.V.1    Matar, O.K.2
  • 53
    • 0037056333 scopus 로고    scopus 로고
    • Surfactant transport on highly viscous surface films
    • O. K. Matar, R. V. Craster, and M. R. E. Warner, "Surfactant transport on highly viscous surface films," J. Fluid Mech. 466. 85 (2002).
    • (2002) J. Fluid Mech. , vol.466 , pp. 85
    • Matar, O.K.1    Craster, R.V.2    Warner, M.R.E.3
  • 54
    • 0026168065 scopus 로고
    • Algorithm 688 EPDCOL - A more efficient PDECOL code
    • P. Keast and P. H. Muir, "Algorithm 688 EPDCOL-A more efficient PDECOL code," ACM Trans. Math. Softw. 17, 153 (1991).
    • (1991) ACM Trans. Math. Softw. , vol.17 , pp. 153
    • Keast, P.1    Muir, P.H.2
  • 56
    • 0028443125 scopus 로고
    • Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equation
    • J. G. Blom and P. A. Zegeling, "Algorithm 731: a moving-grid interface for systems of one-dimensional time-dependent partial differential equation," ACM Trans. Math. Softw. 20, 194 (1994).
    • (1994) ACM Trans. Math. Softw. , vol.20 , pp. 194
    • Blom, J.G.1    Zegeling, P.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.