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Volumn 18, Issue 3, 2006, Pages

Numerical simulations of fingering instabilities in surfactant-driven thin films

Author keywords

Colloids; Film flow; Flow instability; Flow simulation; Liquid films; Lubrication; Nonlinear equations; Surfactants; Two phase flow

Indexed keywords

COLLOIDS; COMPUTER SIMULATION; CRITICAL MICELLE CONCENTRATION; LUBRICATION; NONLINEAR EQUATIONS; SURFACE ACTIVE AGENTS; THIN FILMS; TWO PHASE FLOW;

EID: 33645470806     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2180776     Document Type: Article
Times cited : (20)

References (35)
  • 1
    • 0345171420 scopus 로고    scopus 로고
    • "The spreading of surfactant solutions on thin liquid films"
    • ACISB9 0001-8686 10.1016/S0001-8686(03)00111-8
    • A.B. Afsar-Siddiqui, P.F. Luckham, and O.K. Matar, "The spreading of surfactant solutions on thin liquid films," Adv. Colloid Interface Sci.ACISB90001-868610.1016/S0001-8686(03)00111-8 106, 183 (2003).
    • (2003) Adv. Colloid Interface Sci. , vol.106 , pp. 183
    • Afsar-Siddiqui, A.B.1    Luckham, P.F.2    Matar, O.K.3
  • 2
    • 0026803604 scopus 로고
    • "Insoluble surfactant spreading on a thin viscous film: Shock evolution and film rupture"
    • JFLSA7 0022-1120
    • O.E. Jensen and J.B. Grotberg, "Insoluble surfactant spreading on a thin viscous film: Shock evolution and film rupture," J. Fluid Mech.JFLSA70022-1120 240, 259 (1992).
    • (1992) Fluid Mech. , vol.240 , pp. 259
    • Jensen, O.E.1    Grotberg, J.B.2
  • 3
    • 0027391642 scopus 로고
    • "The spreading of heat or soluble surfactant along a thin film"
    • PFADEB 099-213 10.1063/1.79
    • O.E. Jensen and J.B. Grotberg, "The spreading of heat or soluble surfactant along a thin film," Phys. Fluids APFADEB0899-821310.1063/ 1.858789 5, 58 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 8
    • Jensen, O.E.1    Grotberg, J.B.2
  • 4
    • 0019756011 scopus 로고
    • "The spreading of aqueous surfactant solutions on glass"
    • CEGCAK 0098-6445
    • A. Marmur and M.D. Lelah, "The spreading of aqueous surfactant solutions on glass," Chem. Eng. Commun.CEGCAK0098-6445 13, 133 (1981).
    • (1981) Chem. Eng. Commun. , vol.13 , pp. 3
    • Marmur, A.1    Lelah, M.D.2
  • 5
    • 0000730321 scopus 로고
    • "Fingering instability in thin wetting films"
    • PRLTAO 0031-9007 10.1103/PhysRevLett
    • S.M. Troian, X.L. Wu, and S.A. Safran, "Fingering instability in thin wetting films," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.62.1496 62, 1496 (1989).
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 1496
    • Troian, S.M.1    Wu, X.L.2    Safran, S.A.3
  • 6
    • 0009365916 scopus 로고
    • "Surfactant driven spreading of a liquid on a vertical surface"
    • S. He and J. Ketterson, "Surfactant driven spreading of a liquid on a vertical surface," Phys. Fluids A 7, 2640 (1995).
    • (1995) Phys. Fluids A , vol.7 , pp. 2640
    • He, S.1    Ketterson, J.2
  • 7
    • 0029229812 scopus 로고
    • "Origins of the complex motion of advancing surfactant solutions"
    • LANGD5 0743-7463
    • B. Frank and S. Garoff, "Origins of the complex motion of advancing surfactant solutions," LangmuirLANGD50743-7463 11, 87 (1995).
    • (1995) Langmuir , vol.11 , pp. 87
    • Frank, B.1    Garoff, S.2
  • 8
    • 0000458777 scopus 로고    scopus 로고
    • "Structure and dynamics of liquid films on solid surfaces"
    • FDISE6 0301-7249
    • S. Bardon, M. Cachile, A.M. Cazabat, X. Fanton, and S. Villette, "Structure and dynamics of liquid films on solid surfaces," Faraday Discuss.FDISE60301-7249 104, 307 (1996).
    • (1996) Faraday Discuss , vol.104 , pp. 307
    • Bardon, S.1    Cachile, M.2    Cazabat, A.M.3    Fanton, X.4    Villette, S.5
  • 9
    • 0032753967 scopus 로고    scopus 로고
    • "Spontaneous spreading of surfactant solutions on hydrophilic surfaces"
    • CPEAEH 0927-7757 10.1016/S0927-7757(99)00161-2
    • M. Cachile, A.M. Cazabat, S. Bardon, M.P. Valignat, and F. Vadenbrouck, "Spontaneous spreading of surfactant solutions on hydrophilic surfaces," Colloids Surf., ACPEAEH0927-775710.1016/ S0927-7757(99)00161-2 159, 47 (1999).
    • (1999) Colloids Surf., A , vol.159 , pp. 47
    • Cachile, M.1    Cazabat, A.M.2    Bardon, S.3    Valignat, M.P.4    Vadenbrouck, F.5
  • 10
    • 0033076155 scopus 로고    scopus 로고
    • "Spontaneous spreading of surfactant solutions on hydrophilic surfaces: CnEm in ethylene and diethylene glycol"
    • LANGD5 0743-7463 10.1021/la980840f
    • M. Cachile and A.M. Cazabat, "Spontaneous spreading of surfactant solutions on hydrophilic surfaces: CnEm in ethylene and diethylene glycol," LangmuirLANGD50743-746310.1021/la980840f 15, 1515 (1999).
    • (1999) Langmuir , vol.15 , pp. 1515
    • Cachile, M.1    Cazabat, A.M.2
  • 11
    • 0013048791 scopus 로고    scopus 로고
    • "Streamlets and branching dynamics in surfactant-driven flows"
    • PHFLE6 1070-6631
    • B.J. Fischer, A.A. Darhuber, and S.M. Troian, "Streamlets and branching dynamics in surfactant-driven flows," Phys. FluidsPHFLE61070-6631 13, 9 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 9
    • Fischer, B.J.1    Darhuber, A.A.2    Troian, S.M.3
  • 12
    • 0037169904 scopus 로고    scopus 로고
    • "Films driven by surface tension gradients"
    • ACISB9 0001-8686 10.1016/S0001-8686(01)00075-6
    • M. Cachile, M. Schneemlich, A. Hamraoui, and A.M. Cazabat, "Films driven by surface tension gradients," Adv. Colloid Interface Sci.ACISB90001-868610.1016/S0001-8686(01)00075-6 96, 59 (2002).
    • (2002) Adv. Colloid Interface Sci. , vol.96 , pp. 59
    • Cachile, M.1    Schneemlich, M.2    Hamraoui, A.3    Cazabat, A.M.4
  • 13
    • 4344632041 scopus 로고    scopus 로고
    • "Marangoni driven structures in thin film flows"
    • PHFLE6 1070-6631
    • A.A. Darhuber and S.M. Troian, "Marangoni driven structures in thin film flows," Phys. FluidsPHFLE61070-6631 15, S9 (2003).
    • (2003) Phys. Fluids , vol.15
    • Darhuber, A.A.1    Troian, S.M.2
  • 14
    • 0037417905 scopus 로고    scopus 로고
    • "Unstable spreading of an anionic surfactant on liquid films. Part I: Sparingly soluble surfactant"
    • LANGD5 0743-7463 10.1021/la0258502
    • A.B. Afsar-Siddiqui, P.F. Luckham, and O.K. Matar, "Unstable spreading of an anionic surfactant on liquid films. Part I: Sparingly soluble surfactant," LangmuirLANGD50743-746310.1021/la0258502 19, 696 (2003).
    • (2003) Langmuir , vol.19 , pp. 696
    • Afsar-Siddiqui, A.B.1    Luckham, P.F.2    Matar, O.K.3
  • 15
    • 0037417926 scopus 로고    scopus 로고
    • "Unstable spreading of an anionic surfactant on liquid films. Part II: Highly soluble surfactant"
    • LANGD5 0743-7463 10.1021/la025851u
    • A.B. Afsar-Siddiqui, P.F. Luckham, and O.K. Matar, "Unstable spreading of an anionic surfactant on liquid films. Part II: Highly soluble surfactant," LangmuirLANGD50743-746310.1021/la025851u 19, 703 (2003).
    • (2003) Langmuir , vol.19 , pp. 703
    • Afsar-Siddiqui, A.B.1    Luckham, P.F.2    Matar, O.K.3
  • 16
    • 10044253535 scopus 로고    scopus 로고
    • "Fingering phenomena during spreading of surfactant solutions"
    • CPEAEH 0927-7757
    • A. Hamraoui, M. Cachile, C. Poulard, and A.M. Cazabat, "Fingering phenomena during spreading of surfactant solutions," Colloids Surf., ACPEAEH0927-7757 250, 215 (2004).
    • (2004) Colloids Surf., A , vol.250 , pp. 215
    • Hamraoui, A.1    Cachile, M.2    Poulard, C.3    Cazabat, A.M.4
  • 17
    • 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 A 11, 3232 (1999).
    • (1999) Phys. Fluids A , vol.11 , pp. 3232
    • Matar, O.K.1    Troian, S.M.2
  • 18
    • 0036571684 scopus 로고    scopus 로고
    • "Unstable van der Waals driven line rupture in Marangoni driven thin viscous films"
    • PHFLE6 1070-6631 10.1063/1.60878
    • M.R.E. Warner, R.V. Craster, and O.K. Matar, "Unstable van der Waals driven line rupture in Marangoni driven thin viscous films," Phys. FluidsPHFLE61070-663110.1063/1.1460878 14, 1642 (2002).
    • (2002) Phys. Fluids , vol.14 , pp. 1642
    • Warner M.R., E.1    Craster, R.V.2    Matar, O.K.3
  • 19
    • 0347516602 scopus 로고    scopus 로고
    • "Thinning and disturbance growth in liquid films mobilized by continuous surfactant delivery"
    • PHFLE6 1070-6631 10.1063/1.1623489
    • B.J. Fischer and S.M. Troian, "Thinning and disturbance growth in liquid films mobilized by continuous surfactant delivery," Phys. FluidsPHFLE61070-663110.1063/1.1623489 15, 3837 (2003).
    • (2003) Phys. Fluids , vol.15 , pp. 3837
    • Fischer, B.J.1    Troian, S.M.2
  • 20
    • 0000260298 scopus 로고
    • "Model for the fingering instability of spreading surfactant drops"
    • PRLTAO 0031-9007 10.1103/PhysRevLett
    • S.M. Troian, E. Herbohlzheimer, and S.A. Safran, "Model for the fingering instability of spreading surfactant drops," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.65.333 65, 333 (1990).
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 333
    • Troian, S.M.1    Herbohlzheimer, E.2    Safran, S.A.3
  • 21
    • 3242717634 scopus 로고    scopus 로고
    • "Fingering phenomena associated with insoluble surfactant spreading on thin liquid films"
    • JFLSA7 0022-1120 10.1017/S002211009437
    • M.R.E. Warner, R.V. Craster, and O.K. Matar, "Fingering phenomena associated with insoluble surfactant spreading on thin liquid films," J. Fluid Mech.JFLSA70022-112010.1017/S0022112004009437 510, 169 (2004).
    • (2004) J. Fluid Mech. , vol.510 , pp. 169
    • Warner M.R., E.1    Craster, R.V.2    Matar, O.K.3
  • 22
    • 4344593582 scopus 로고    scopus 로고
    • "Fingering phenomena created by a soluble surfactant deposition on a thin liquid film"
    • PHFLE6 1070-6631 10.1063/1.1763408
    • M.R.E. Warner, R.V. Craster, and O.K. Matar, "Fingering phenomena created by a soluble surfactant deposition on a thin liquid film," Phys. FluidsPHFLE61070-663110.1063/1.1763408 16, 2933 (2004).
    • (2004) Phys. Fluids , vol.16 , pp. 2933
    • Warner M.R., E.1    Craster, R.V.2    Matar, O.K.3
  • 24
    • 85124575335 scopus 로고    scopus 로고
    • "Surfactant-induced fingering phenomena beyond the critical micelle concentration"
    • (in press)
    • B.D. Edmonstone, R.V. Craster, and O.K. Matar, "Surfactant-induced fingering phenomena beyond the critical micelle concentration," J. Fluid Mech. (in press).
    • J. Fluid Mech.
    • Edmonstone, B.D.1    Craster, R.V.2    Matar, O.K.3
  • 25
    • 49949139917 scopus 로고
    • "Thin liquid films"
    • ACISB9 000-8686 0.06/000-8686(67)8500-2
    • A. Sheludko, "Thin liquid films," Adv. Colloid Interface Sci.ACISB90001-868610.1016/0001-8686(67)85001-2 1, 391 (1967).
    • (1967) Adv. Colloid Interface Sci. , vol.1 , pp. 39
    • Sheludko, A.1
  • 26
    • 33645462785 scopus 로고    scopus 로고
    • "Dynamics of surfactant-laden thin films"
    • Ph. thesis, Imperial College London
    • B. D. Edmonstone, "Dynamics of surfactant-laden thin films," Ph.D. thesis, Imperial College London, 2005.
    • (2005)
    • Edmonstone, B.D.1
  • 27
    • 19444380933 scopus 로고    scopus 로고
    • "Coating of an inclined plane in the presence of insoluble surfactant"
    • JCISA5 0021-9797
    • B.D. Edmonstone, O.K. Matar, and R.V. Craster, "Coating of an inclined plane in the presence of insoluble surfactant," J. Colloid Interface Sci.JCISA50021-9797 287, 261 (2005).
    • (2005) J. Colloid Interface Sci. , vol.287 , pp. 261
    • Edmonstone, B.D.1    Matar, O.K.2    Craster, R.V.3
  • 28
    • 0000152232 scopus 로고
    • "Algorithm 540 PDECOL"
    • ACMSCU 0098-300 10.114/3841.3849
    • R.F. Sincovec and N.K. Madsen, "Algorithm 540 PDECOL," ACM Trans. Math. Softw.ACMSCU0098-350010.1145/355841.355849 5, 326 (1979).
    • (1979) ACM Trans. Math. Softw. , vol.5 , pp. 326
    • Sincovec, R.F.1    Madsen, N.K.2
  • 29
    • 0026168065 scopus 로고
    • "Algorithm 688 EPDCOL-A more efficient PDECOL code"
    • ACMSCU 0098-3500 10.1145/108556.108558
    • P. Keast and P.H. Muir, "Algorithm 688 EPDCOL-A more efficient PDECOL code," ACM Trans. Math. Softw.ACMSCU0098-350010.1145/ 108556.108558 17, 153 (1991).
    • (1991) ACM Trans. Math. Softw. , vol.17 , pp. 153
    • Keast, P.1    Muir, P.H.2
  • 30
    • 0037401623 scopus 로고    scopus 로고
    • "ADI schemes for higher-order nonlinear diffusion equations"
    • ANMAEL 0168-9274 10.1016/S0168-9274(02)00194-0
    • T.P. Witelski and M. Bowen, "ADI schemes for higher-order nonlinear diffusion equations," Appl. Numer. Math.ANMAEL0168-927410.1016/ S0168-9274(02)00194-0 45, 331 (2003).
    • (2003) Appl. Numer. Math. , vol.45 , pp. 331
    • Witelski, T.P.1    Bowen, M.2
  • 31
    • 0034079451 scopus 로고    scopus 로고
    • "Fingering phenomena for driven coating films"
    • PHFLE6 1070-6631 10.1063/1.870382
    • M.H. Eres, L.W. Schwartz, and R.V. Roy, "Fingering phenomena for driven coating films," Phys. FluidsPHFLE61070-663110.1063/1.870382 12, 1278 (2000).
    • (2000) Phys. Fluids , vol.12 , pp. 1278
    • Eres, M.H.1    Schwartz, L.W.2    Roy, R.V.3
  • 32
    • 33645468286 scopus 로고    scopus 로고
    • (private communication)
    • A.M. Cazabat (private communication).
    • Cazabat, A.M.1
  • 33
    • 33645466085 scopus 로고    scopus 로고
    • 2/3
    • 2/3.
  • 34
    • 0026084263 scopus 로고
    • "Remobilizing surfactant retarded fluid particle interfaces. I. Stress-free conditions at the interfaces of micellar solutions of surfactants with fast sorption kinetics"
    • PFADEB 0899-821 10.106/1.857862
    • K.J. Stebe, S-Y Lin, and C. Maldarelli, "Remobilizing surfactant retarded fluid particle interfaces. I. Stress-free conditions at the interfaces of micellar solutions of surfactants with fast sorption kinetics," Phys. Fluids APFADEB0899-821310.1063/1.857862 3, 3 (1991).
    • (1991) Phys. Fluids A , vol.3 , pp. 3
    • Stebe, K.J.1    Lin, S-Y.2    Maldarelli, C.3
  • 35
    • 0032686766 scopus 로고    scopus 로고
    • "Increased mobility of a surfactant-retarded bubble at high bulk concentrations"
    • JFLSA7 0022-1120 10.1017/S0022112099005157
    • Y. Wang, D.T. Papageorgiou, and C. Maldarelli, "Increased mobility of a surfactant-retarded bubble at high bulk concentrations," J. Fluid Mech.JFLSA70022-112010.1017/S0022112099005157 390, 251 (1999).
    • (1999) J. Fluid Mech. , vol.390 , pp. 251
    • Wang, Y.1    Papageorgiou, D.T.2    Maldarelli, C.3


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