Increased mobility of a surfactant-retarded bubble at high bulk concentrations

Journal of Fluid Mechanics

Volumn 390, Issue , 1999, Pages 251-270

  Wang, Yanping ^a   Papageorgiou, Demetrios T ^a   Maldarelli, Charles ^b  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^b Benjamin Levich Institute for Physico Chemical Hydrodynamics   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; PHASE INTERFACES; SATURATION (MATERIALS COMPOSITION); SURFACE ACTIVE AGENTS; SURFACE TENSION;

MARANGONI FORCE; PECLET NUMBER;

BUBBLES (IN FLUIDS);

EID: 0032686766     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099005157     Document Type: Article

References (43)

1. ACRIVOS, A. & GODDARD, J. D. 1965 Asymptotic expansions for laminar forced-convection heat and mass transfer. J. Fluid Mech. 23, 273-291.
2. ANDREWS, G. R, FIKE, R. & WONG, S. 1988 Bubble hydrodynamics and mass transfer at high Reynolds number and surfactant concentration Chem. Engng Sci. 43, 1467-1477.
3. BARTON, K. D. & SUBRAMANIAN, R. S. 1989 The migration of liquid drops in a vertical temperature gradient. J. Colloid Interface Sci. 133, 211-222.
4. BEITEL, A. & HEIDEGER, W. J. 1971 Surfactant effects on mass transfer from drops subject to interfacial instability. Chem. Engng Sci. 26, 711-717.
5. BEL FDHILA, R. & DUINEVELD, P. C. 1996 The effect of surfactants on the rise of a spherical bubble at high Reynolds and Péclet numbers. Phys. Fluids 8, 310-321.
6. CHANG, C.-H. & FRANSES, E. I. 1995 Adsorption dynamics of surfactants at the air/water interface: a critical review of mathematical models, data, and mechanisms. Colloids and Surfaces 100, 1-45.
7. CHEN, J. & STEBE, K. 1996 Marangoni retardation of the terminal velocity of a settling droplet: The role of surfactant physico-chemistry. J. Colloid Interface Sci. 178, 144-155.
8. CHEN, J. & STEBE, K. 1997 Surfactant-induced retardation of the thermocapillary migration of a droplet. J. Fluid Mech. 340, 35-60.
9. CUENOT, B., MAGNAUDET, J. & SPENNATO, B. 1996 The effects of slightly soluble surfactants on the flow around a spherical bubble. J. Fluid Mech. 339, 25-53.
10. DAVIS, R. E. & ACRIVOS, A. 1966 The influence of surfactants on the creeping motion of bubbles. Chem. Engng Sci. 21, 681-685.
11. DERYAGIN, B. V., DUKHIN, S. S. & LISICHENKO, V. A. 1959 The kinetics of the attachment of mineral particles to bubbles during flotation. I. The electric field of a moving bubble Russ. J. Phys. Chem. 33, 389-393.
12. DUINEVELD, P. C. 1994 Bouncing and coalesence of two bubbles in water. PhD Thesis, University of Twente, The Netherlands.
13. EDGE, R. M. & GRANT, C. D. 1972 The motion of drops in water contaminated with a surface active agent Chem. Engng Sci. 27, 1709-1721.
14. EDWARDS, D. A., BRENNER, H. & WASAN, D. T. 1991 Interfacial Transport Processes and Rheology. Butterworth-Heinemann.
15. ELZINGA, E. R. & BANCHERO, J. T. 1961 Some observations on the mechanics of drops in liquid-liquid systems. AIChE J. 7, 394-399.
16. FRUMKIN, A. & LEVICH, V. 1947 On surfactants and interfacial motion. Zhur. Fiz. Khim. 21, 1183 (in Russian).
17. GARNER, F. H. & SKELLAND, H. P. 1955 Some factors affecting droplet behavior in liquid-liquid systems. Chem. Engng Sci. 4, 149-158.
18. GRIFFITH, R. M. 1962 The effect of surfactants on the terminal velocity of drops and bubbles. Chem. Engng Sci. 17, 1057-1070.
19. HAPPEL, J. & BRENNER, H. 1962 Low Reynolds Number Hydrodynamics. Prentice Hall.
20. HARPER, J. F. 1973 On bubbles with small immobile adsorbed films rising in liquids at Low Reynolds numbers J. Fluid Mech. 58, 539-545.
21. HARPER, J. F. 1974 On spherical bubbles rising steadily in dilute surfactant solutions Q. J. Mech. Appl. Maths 27, 87-100.
22. HARPER, J. F. 1982 Surface activity and bubble motion Appl. Sci. Res. 38, 343-351.
23. HE, Z., MALDARELLI, C. & DAGAN, Z. 1991 The size of stagnant caps of bulk soluble surfactant on the interfaces of translating fluid droplets. J. Colloid Interface Sci. 146, 442-451.
24. HOLBROOK, J. A. & LEVAN, M. D. 1983a Retardation of droplet motion by surfactant. Part I. Theoretical development and asymptotic solutions. Chem. Engng Commun. 20, 191-207.
25. HOLBROOK, J. A. & LEVAN, M. D. 1983b Retardation of droplet motion by surfactant. Part II. Numerical solutions for exterior diffusion, surface diffusion, and adsorption kinetics. Chem. Engng Commun. 20, 273-290.
26. HORTON, T. J., FRITSCH, T. R. & KINTNER, R. C. 1965 Experimental determination of circulation velocities inside drops. Can. J. Chem. Engng 43, 143-146.
27. HUANG, W. S. & KINTNER, R. C. 1969 Effects of surfactants on mass transfer inside drops. AIChE J. 15, 735-744.
28. KIM, H. & SUBRAMANIAN, R. 1989a Thermocapillary migration of a droplet with insoluble surfactant, I. Surfactant cap. J. Colloid Interface Sci. 127, 417-430.
29. KIM, H. & SUBRAMANIAN, R. 1989b Thermocapillary migration of a droplet with insoluble surfactant, II. General case J. Colloid Interface Sci. 130, 112-125.
30. LEPPINEN, D. M., RENKSIZBULUT, M. & HAYWOOD, R. J. 1996a The effects of surfactants on droplet behaviour at intermediate Reynolds numbers - I. The numerical model and steady-state results. Chem. Engng Sci. 51, 479-489.
31. LEPPINEN, D. M., RENKSIZBULUT, M. & HAYWOOD, R.J. 1996b The effects of surfactants on droplet behaviour at intermediate Reynolds numbers - II. Transient deformation and evaporation. Chem. Engng Sci. 51, 491-501.
32. LEVAN, M. & NEWMAN, J. 1976 The effect of surfactant on the terminal and interfacial velocities of a bubble or drop. AIChE J. 22, 695-701.
33. LEVICH, V. G. 1962 Physicochemical Hydrodynamics. Prentice Hall.
34. MASLIYAH, J. H. & EPSTEIN, N. 1971 Numerical solution of heat and mass transfer from spheroids in steady axisymmetric flow. Prog. Heat Mass Transfer 6, 613-632.
35. MCLAUGHLIN, J. B. 1996 Numerical simulation of bubble motion in water. J. Colloid Interface Sci. 184, 614-625.
36. NADIM, A. & BORHAN, A. 1989 The effects of surfactant on the motion and deformation of a droplet in thermocapillary migration. PhysicoChem. Hydrodyn. 11, 753-764.
37. PEYRET, R. & TAYLOR, T. D. 1983 Computational Methods for Fluid Flow. Springer.
38. RYSKIN, G. & LEAL, L. G. 1982 Numerical solution of free-boundary problems in fluid mechanics. J. Fluid Mech. 148, 1-17.
39. SADHAL, S. & JOHNSON, R. 1982 Stokes flow past bubbles and drops partially coated with thin films. Part 1. Stagnant cap of surfactant film - exact solution J. Fluid Mech. 126, 237-250.
40. SAVIC, P. 1953 Circulation and distortion of liquid drops falling through a viscous medium. Natl Res. Counc. Can., Div. Mech. Engng Rep. MT-22.
41. SAVILLE, D. 1973 The effects of interfacial tension on the motion of drops and bubbles. Chem. Engng J. 5, 251-259.
42. 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 A 3, 3-20.
43. YAMAMOTO, T. & ISHII, T. 1987 Effect of surface active materials on the drag coefficients and shapes of single large gas bubbles. Chem. Engng Sci. 42, 1297-1303.