Insoluble surfactants on a drop in an extensional flow: A generalization of the stagnated surface limit to deforming interfaces

Journal of Fluid Mechanics

Volumn 385, Issue , 1999, Pages 79-99

  Eggleton, Charles D ^a   Pawar, Yashodhara P ^b   Stebe, Kathleen J ^c  

^a University of Marylandw Baltimore County   (United States)

^b Union Camp Corporation   (United States)

^c Johns Hopkins University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; INTERFACES (MATERIALS); SURFACE ACTIVE AGENTS; SURFACE TENSION; VISCOSITY;

EXTENSIONAL FLOW; INSOLUBLE SURFACTANTS; STAGNATED SURFACE LIMIT;

DROP FORMATION;

EID: 0032636424     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098004054     Document Type: Article

References (28)

1. CHANG, C. H. & FRANSES, E. 1995 Adsorption dynamics of surfactants at the air-water interface: a critical review of mathematical models, data and mechanisms. Colloids and Surfaces A 100, 1.
2. DAVIES, J. T. & RIDEAL, E. K. 1961 Interfacial Phenomena. Academic Press.
3. DAVIS, R. E. & ACRIVOS, A. 1966 The influence of surfactants on the creeping motion of bubbles. Chem. Engng Sci. 21, 681.
4. DEBRUIJN, R. A. 1993 Tip streaming of drops in simple shear flows. Chem. Engng Sci. 48, 277.
5. DEFAY, R. & PRIGOGINE, I. 1966 Surface Tension and Adsorption. John Wiley.
6. EDWARDS, D., BRENNER, H. & WASAN, D. 1991 Interfacial Transport Processes and Rheology. Butterworth-Heinemann.
7. EGGLETON, C. D. & STEBE, K. J. 1998 An adsorption-desorption controlled surfactant on a deforming droplet J. Colloid Interface Sci. 208, 68.
8. FRUMKIN, A. 1925 Die Kapillarkurve der hoheren Fettsauren und die Zustandsgleichung. 116, 466.
9. GUGGENHEIM, E. A. 1952 Mixtures. Oxford University Press.
10. HE, Z., MALDARELLI, C. & DAGAN, Z. 1991 The size of stagnant caps of bulk soluble surfactants on interfaces of translating fluid droplets. J. Colloid Interface Sci. 146, 442.
11. LADYZHENSKAYA, O. A. 1969 The Mathematical Theory of Viscous Incompressible Flow. Gordon and Breach.
12. LEVICH, V. G. 1962 Physicochemical Hydrodynamics. Prentice-Hall.
13. 8 at the air-water interface: adsorption on a clean interface. Langmuir 12, 6530.
14. MILLIKEN, W. J. & LEAL, L. G. 1994 The influence of surfactant on the deformation and breakup of a viscous drop: the effect of surfactant solubility. J. Colloid Interface Sci. 166, 275.
15. MILLIKEN, W. J., STONE, H. A. & LEAL, L. G. 1993 The effect of surfactant on the transient motion of Newtonian drops. Phys. Fluids A 5, 69.
16. PAN, R., GREEN, J. & MALDARELLI, C. 1998 Conditions for promoting kinetic influence during surfactant exchange at an interface and their use for measuring kinetics parameters by the pendant bubble method. J. Colloid Interface Sci. 205, 213.
17. PAWAR, Y. P. & STEBE, K. J. 1996 Marangoni effects on drop deformation in an extensional flow: the role of surfactant physicochemistry. I. Insoluble surfactants. Phys. Fluids 8, 1738.
18. POZRIKIDIS, C. 1992 Boundary Integral and Singularity Methods for Linearized Viscous Flows. Cambridge University Press.
19. RALLISON, J. M. 1984 The deformation of small viscous drops and bubbles in shear flows. Ann. Rev. Fluid Mech. 16, 45.
20. SADHAL, S. S. & JOHNSON, R. E. 1983 Stokes flow past bubbles and drops partially coated with thin films. Part 1. Stagment cap of surfactant films: Exact solution. J. Fluid Mech. 126, 237.
21. STEBE, K. J., LIN, S. Y. & MALDARELLI, C. 1991 Remobilizing surfactant retarded fluid particle interfaces. I. Stress-free conditions at the interfaces of micellar solutions of surfactants with fast Sorption kinetics. Phys. Fluids 3, 3.
22. STONE, H. A. 1990 A simple derivation of the time-dependent convective-diffusion equation for surfactant transport along a deforming interface. Phys. Fluids A 2, 111.
23. STONE H. A. 1994 Dynamics of drop deformation and breakup in viscous fluids. Ann. Rev. Fluid Mech. 26, 65.
24. STONE H. A. & LEAL, L. G. 1990 The effects of surfactants on drop deformation and breakup. J. Fluid Mech. 220, 161.
25. TAYLOR, G. I. 1932 The viscosity of a fluid containing small drops of another fluid. Proc. R. Soc. Lond. A 138, 41.
26. WANG, Y, MALDARELLI, C. & PAPAGEORGIOU, D. 1999 Increased mobility of a surfactant retarded bubble at high bulk concentrations. J. Fluid Mech. in press.
27. WATKINS, J. C. 1968 The surface properties of pure phospholipids in relation to those of lung extracts. Biochim. Biophys. Acta 152, 293.
28. WONG, H., RUMSCHITZSKI, D. & MALDARELLI, C. 1996 On the surfactant mass balance at a deforming fluid interface. Phys. Fluids 8, 3203.