Surfactants and Stress Conditions at Fluid Interfaces

  • Kathleen J. Stebe
  • Charles D. Eggleton
Part of the NATO ASI Series book series (NSSE, volume 354)


Surfactants are amphiphilic molecules that adsorb on fluid interfaces, where they reduce the surface tension. If the interface is moving, surface convection can distribute surfactant non-uniformly, creating surface tension gradients or Marangoni stresses. These two phenomena are the keys to understanding the stress response of surfactant-laden interfaces in multiphase flows.


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  1. [1]
    Levich, V.G., Physicochemical Hydrodynamics Prentice Hall, Englewood Cliffs, N.J., 1962Google Scholar
  2. [2]
    Stone, H.A., “A Simple Derivation of the time-dependent convective diffusion equation for transport along a deforming interface”, Phys. Fluids A 2, 111–112, (1990)CrossRefGoogle Scholar
  3. [3]
    Wong, H., Rumshitzski, D. and Malderelli, C.,“On the surfactant mass balance at a deforming fluid interface”, Phys. Fluids 8, 3203, (1996)CrossRefGoogle Scholar
  4. [4]
    Stebe, K.J., Lin, S.Y. and Maldarelli, C., “Remobilizing surfactant retarded fluid particle interfaces. I. Stress-free conditions at interfaces of micellar solutions of surfactants with fast sorption kinetics”, Phys Fluids A, 3 (1), 3–20, (1991)CrossRefGoogle Scholar
  5. [5]
    Chang, Chien-Hsiang and Franses, Elias, “Adsorption dynamics of surfactants at the air/water interface: a critical review of mathematical models, data and mechanisms”, Colloids and Surfaces A, 100 1–45 (1990)CrossRefGoogle Scholar
  6. [6]
    Lin, S.Y., McKeigue, K., and Maldarelli, C., AIChE J., “Diffusion-Controlled Surfactant Adsorption Studied by Pendant Drop Digitization”, 36, 1785–1795, (1990)Google Scholar
  7. [7]
    Johnson, D. and Stebe, K. “Experimental Confirmation of the Oscillating Bubble Technique with Comparison to the Pendant Bubble Method: The Adsorption Dynamics of 1-decanol”, J. Colloid Int. Sci., 182, 526–538, (1996)CrossRefGoogle Scholar
  8. [8]
    reviewed in van den Temple and Lucassen-Reynders, “Relaxation Processes at Fluid Interfaces”, Advances in Colloid Interface Sci. 18, 281–301, (1983)CrossRefGoogle Scholar
  9. [9]
    reviewed by Langevin, D. see chapter in this text Google Scholar
  10. [10]
    Macleod, C.A. and Radke, C.J., “Surfactant Exchange Kinetics at the Air/Water Interface from the Dynamic Tension of Growing Liquid Drops”, J. Colloid Int. Sci. 166, 73–88, (1994)CrossRefGoogle Scholar
  11. [11]
    Davis, R. and Acrivos, A., “The influence of surfactants on the creeping motion of bubbles”, Chem Eng Sci. 21, 681–685, (1966)CrossRefGoogle Scholar
  12. [12]
    Sadhal, S.S. and Johnson, R.E., “Stokes Flow Past Bubbles and Drops Partially Coated With Thin Films. Exact Solution”, J. Fluid Mech., 126, 237–250, (1983)CrossRefGoogle Scholar
  13. [13]
    He, Z. Dagan, Z. and Maldarelli, C. “The Size of Stagnant Caps of Bulk Soluble Surfactant on the Interfaces of Translating Fluid Droplets”, J. Colloid Int. Sci. 146, 442–451, (1991)CrossRefGoogle Scholar
  14. [14]
    Holbrook, J.A and Levan, M.D., “Retardation of Droplet Motion by Surfactant. Part I. Theoretical Development and Asymptotic Solutions”, Chem Eng Comm. 20, 191–207, (1983)CrossRefGoogle Scholar
  15. [15]
    Holbrook, J.A and Levan, M.D., “Retardation of Droplet Motion by Surfactant. Part II. Numerical Solutions for Exterior Diffusion, Surface Diffusion and Adsorption Kinetics”, Chem Eng Comm. 20, 273–290, (1983)CrossRefGoogle Scholar
  16. [16]
    Chen, J. and Stebe, K.J. “ Marangoni Retardation of the Terminal Velocity of a Settling Droplet: The Role of Surfactant Physico-chemistry”, J. Colloid Int. Sci. 178, 144–155, (1996)CrossRefGoogle Scholar
  17. [17]
    Stone, H.A. and Leal, L.G, “ The Effects of Surfactants on Drop Deformation and Breakup”, J. Fluid Mech. 220, 161–186, (1990)CrossRefGoogle Scholar
  18. [18]
    Milliken, W.J., Stone, H.A., and Leal, L.G.,“The Effects of Surfactant on the Transient Motion of Newtonian Drops”,Phys. Fluids A 5, 69–79, (1993)CrossRefGoogle Scholar
  19. [19]
    Milliken W.J. and Leal, L.G., “The Influence of surfactant on the deformation and breakup of a viscous drop. the effect of surfactant solubility”, J. Colloid Int. Sci, 166, 275–285, (1994)CrossRefGoogle Scholar
  20. [20]
    Pawar, Y.P. and Stebe, K.J. “Marangoni effects on drop deformation in an extensional flow: the role of surfactant physico-chemistry. I. Insoluble Surfactants”, Phys. Fluids 8 (7), 1738–1751, (1996)Google Scholar
  21. [21]
    Eggleton, C.D., Pawar, Y.P. and Stebe, K.J., “Insoluble Surfactants on a Drop in an Extensional Flow: A Generalization of the Stagnated Interface Surface Limit to Deforming Interfaces”, in review,J. Fluid Mech.Google Scholar
  22. [22]
    Barthes-Biesel, D. and Acrivos, A., “ Deformation and Burst of a Liquid Droplet Freely Suspended in a Linear Shear field”, J. Fluid Mech. 61, 1–21 (1973)CrossRefGoogle Scholar
  23. [23]
    Rallison, J.M. and Acrivos, A., “A Numerical Study of the Deformation and Burst of a Viscous Drop in an Extensional Flow”, J.Fluid Mech. 89, 191–200, (1978)CrossRefGoogle Scholar
  24. [24]
    Eggleton, C. and Stebe, K.J. “ Surfactants and stresses on deforming interfaces: A soluble surfactant on a drop in an extensional flow” in preparation for J. Colloid Int. Sci.Google Scholar
  25. [25]
    Stebe, K.J. and Maldarelli, C. “ Remobilizing Surfactant Retarded Fluid Particle Interfaces II. Controlling the Surface Mobility at Interfaces of Solutions Containing Surface Active Components” J. Colloid hit. Sci. 163, 177–189 (1994)CrossRefGoogle Scholar
  26. [26]
    Ferri, J.K. and Stebe, K.J. “The Rapid Reduction of Surface Tension: a Structure-Property Study of Acetylenic Diol Surfactants”, in preparation for J. Colloid Int. Sci.Google Scholar
  27. [27]
    Scriven, L.E., “Dynamics of a fluid interface: Equation of motion for Newtonian surface fluids”, Chem. Eng. Sci. 12, 98–108, (1960)CrossRefGoogle Scholar
  28. [28]
    Slattery, J.C. Interfacial Transport Phenomena Springer-Verlag, New York, 1990Google Scholar
  29. [29]
    Edwards, D., Wasan, D. and Brenner, H. Interfacial Transport Processes and Rheology, Butterworth Hienemann, Boston, MA, 1991Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Kathleen J. Stebe
    • 1
  • Charles D. Eggleton
    • 1
  1. 1.The Johns Hopkins UniversityBaltimoreUSA

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