Abstract
When bubbles or drops move and deform through a continuous liquid phase as in suspension flows, and a surface active species (surfactant) is present in the suspension, the surfactant absorbs onto the fluid particle interfaces. Adsorption lowers the surface tension in proportion to the surface concentration. Surfactant adsorbed onto the surfaces of moving fluid particles is partitioned by the surface flow and the interfacial deformation,creating surface tension gradients. The gradients exert a Marangoni traction on the continuous phase which affects the suspension flow. In this chapter we present a basis for the understanding and fluid mechanical modeling of the influence of Marangoni stresses. Attention is focused on the air/water inerface and the motion of bubbles.
The chapter first describes the phase behavior of surfactant monolayers, the experimental methods used to identify phase polymorphism, and the principal phases for bulk soluble surfactants: gaseous, liquid expanded, liquid condensed and solid. Next, we describe the modeling of the state equations for the dependence of the tension on the surface concentration, and the rate equations for the exchange of surfactant between the surface and the adjoining sublayer. The measurement of the equation of state parameters and kinetic rate constants is described next, and we examine the surfactant systems which have been studied. The chapter concludes with a study of the buoyancy driven, inertialess motion of a bubble in a continuous liquid phase, as a model problem for the illustration of the inclusion of Marangoni stresses in a fluid particle flow. We compute the terminal velocity as a function of the surfactant transport properties.
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References
M. Rosen: Surfactants and Interfacial Phenomena, John Wiley, New York, 1989.
C.-H. Chang and E. Franses: Colloids and Surfaces A 100 (1995) 1–45.
D. Edwards, H. Brenner and D. T. Wasan: Interfacial Transport Processes, Butterworth-Heineman, 1991.
J.C. Slattery: Interfacial Transport Phenomena, Springer Verlag, 1990.
I. Ivanov: Thin Liquid Films, Marcel Dekker, New York, 1988.
J. C. Lee and T. D. Hodgson: Chemical Engineering Science 23 (1968) 1375.
T. D. Hodgson and J. C. Lee: Journal of Colloid and Interface Science 30 (1969) 94.
B. P. Radoev, D. S. Dimitrov and I. B. Ivanov: Colloid and Polymer Science 252 (1974) 50.
I. Ivanov and D. S. Dimitrov: Colloid and Polymer Science 252 (1974) 982.
A. D. Barber and S. Hartland: Canadian Journal of Chemical Engineering 54 (1976) 279.
T. T. Traykov and I. Ivanov: International Journal of Multiphase Flow 3 (1977) 471.
Z. Zapryanov, A. K. Malhotra, N. Aderangi and D. T. Wasan: International Journal of Multiphase Flow 9 (1983) 105.
A. K. Malhotra and D. T. Wasan: Chemical Engineering Communications 55 (1987) 95–128.
W. J. Milliken, H. A. Stone and L. G. L. A: Phys. Fluids A 5 (1993) 69–79.
W. Milliken and L. G. Leal: J Colloid and Interface Science 166 (1994) 275–285.
S. A. K. Jeelani and S. Hartland: Journal of Colloid and Interface Science 164 (1994) 296–308.
G. Hirasaki and J. P. Lawson: SPE Journal 25 (1986) 176.
G. M. Ginley and C. J. Radke: ACS SYmposium Series 396 (1989) 480.
A. Borhan and C. Mao: Phys. Fluids A 4 (1992) 2628–2640.
Z. He, Z. Dagan and C. Maldarelli: Journal of Fluid Mechanics 222 (1991) 1–32.
J. Ratulowski and H. C. Chang: Journal of Fluid Mechanics 210 (1990) 303.
G. L. Gaines: Insoluble monolayers at liquid-gas interfaces, Wiley-Interscience, New York, 1966.
K. J. Stine: Micros. Res. Tech. 27 (1994) 439–450.
S. Hénon and J. Meunier: J. Chem. Phys. 68 (1991) 936–939.
D. Hönig and D. Möbius: J. Phys. Chem. 95 (1991) 4590–4592.
D. Jacquemain, S. G. Wolf, F. Leveiller, M. Deutsch, K. Kjaer, J. Als-Nielsen, M. Lahav and L. Leiserowitz: Angew. Chem. Int. Ed. Engl. 31 (1992) 130–152.
T. Kajiyama: MRS Bulletin June (1995) 32–38.
C. M. Knobler and R. C. Desai: Annu. Rev. Phys. Chem. 43 (1992) 207–236.
G. A. Overbeck and D. Möbius: J. Phys. Chem. 97 (1993) 7999–8004.
S. Rivière, S. Hénon, J. Meunier, D. K. Schwartz, M.-W. Tsao and C. M. Knobler: J. Chem. Phys. 101 (1994) 10045–10051.
N. R. Pallas and B. A. Pethica: J. Chem. Soc. Farad. Trans. I 83 (1987) 585–590.
P. J. Winch and J. C. Earnshaw: J. Phys.: Condens. Matter 1 (1989) 7187–7205.
N. R. Pallas and B. A. Pethica: Lang. 9 (1993) 361–362.
B. G. Moore, C. M. Knobler, S. Akamatsu and F. Rondelez: J. Phys. Chem. 94 (1990) 4588–4595.
H. M. McConnell, L. K. Tamm and R. M. Weis: Proc. Natl. Acad. Sci. USA 81 (1984) 3249–3253.
M. Lösche and H. Möhwald: Rev. Sci. Instrum. 55 (1984) 1968–1972.
R. Peters and K. Beck: Proc. Natl. Acad. Sci. USA 80 (1983) 7183–7187.
K. A. Suresh, J. Nittmann and F. Rondelez: Europhys. Lett. 6 (1988)
B. Moore and C. M. Knobler: J. Chem. Soc., Faraday Trans. 282 (1986) 1753–1761.
D. Hönig, G. A. Overbeck and D. Möbius: Adv. Mater. 4 (1992) 419–424.
D. Hönig and D. Möbius: Thin Solid Films 210 /211 (1992) 64–68.
V. T. Moy, D. J. Keller, H. E. Gaub and H. M. McConnell: J. Phys. Chem. 90 (1986) 3198–3202.
X. Qiu, J. Ruiz-Garcia, K. J. Stine and C. M. Knobler: Phys. Rev. Lett. 67 (1991) 703–706.
J. Ruiz-Garcia, X. Qui, M.-W. Tsao, G. Marshall, C. M. Knobler, G. A. Overbeck and D. Mobius: J. Phys. Chem. 97 (1993) 6955–6957.
D. K. Schwartz, M.-W. Tsao and C. M. Knobler: J. Chem. Phys. 101 (1994) 8258–8261.
D. K. Schwartz and C. M. Knobler: J. Phys. Chem. 97 (1993) 8849–8851.
K. Motomura, S. Iwanaga, Y. Hayami, S. Uryu and R. Matuura: J. Coll. Int. Sci. 80 (1981) 32–38.
M. Aratono, S. Uryu, Y. Hayami, K. Motomura and R. Matuura: J. Coll. Int. Sci. 93 (1983) 162–168.
M. Aratono, S. Uryu, Y. Hayami, K. Motomura and R. Matuura: J. Coll. Int. Sci. 98 (1984) 33–38.
K. Lunkenheimer, G. Serrien and P. Joos: J. Coll. Int. Sci. 134 (1990) 407.
M. Lin, J.-L. Firpo, P. Mansoura and J. F. Baret: J. Chem. Phys. 71 (1979) 2202–2206.
S. Hénon and J. Meunier: J. Chem. Phys. 98 (1993) 9148–9154.
S. Lin, K. McKeigue and C. Maldarelli: Langmuir 24 (1991) 159.
J. F. Baret: J. Phys. Chem. 72 (1968) 2755–2758.
J. F. Baret: J. Colloid and Int. Sci. 30 (1969) 1–12.
V. B. Fainerman: Colloid Journal USSR 39 (1977) 91.
V. B. Fainerman: Colloid J. USSR 40 (1978) 437.
R. P. Borwankar and D. T. Wasan: Chemical Engineering Science 38 (1983) 1637–1649.
R. P. Borwankar and D. T. Wasan: Chemical Engineering Science 41 (1986) 199–201.
R. v. d. Bogaert and P. Joos: J. Phys. Chem. 83 (1979) 2244–2248.
R. v. d. Bogaert and P. Joos: J. Phys. Chem. 84 (1980) 190–194.
R. L. Bendure: J. Colloid and Interface Science 35 (1971) 238–248.
J. Kloubek: J. Colloid and INterface Sci. 41 (1972) 1–6.
K. J. Mysels: Langmuir 2 (1986) 428–432.
K. J. Mysels: Colloids and Surfaces 43 (1990) 241–262.
P. R. Garrett and R. D. Ward: A reexamination of the measurement of dynamic surface tensions using the maximum bubble pressure method J. Colloid and Interface Science (1989) 475–490.
A. Passerone, L. Liggieri, N. Rando, F. Rayera and E. Ricci: J. C011oid and Interface Science 146 (1991) 152.
C. A. Macleod and C. J. Radke: J. Colloid and Interface Science 160 (1993) 435–448.
X. Zhang, M. Harris and O. Basaran: J Colloid and INterface Science 168 (1994) 47–60.
R. Nagarajan and D. T. Wasan: J Colloid and Interface Science 159 (1993) 164–175.
L. Liggieri, F. Rayera and A. Passerone: J Colloid and Interface Science 169 (1995) 226–237.
E. Tornberg: Journal of Colloid and Interface Science 64 (1978) 391–402.
F. W. Pierson and S. Whitaker: Journal of Colloid and Interface Science 54 (1975) 203–218.
P. Joos and E. Rillaerts: Journal of Colloid and Interface Science 79 (1981) 96–100.
C. Jho and R. Burke: Journal of Colloid and Interface Science 79 (1983) 96.
R. Miller, A. Hofmann, R. Hartmann, K. Schano and A. Halbig: Advanced Materials 4 (1992) 370–374.
R. Miller and K. H. Schano: Colloid and Polymer Science 264 (1986) 277–281.
J. v. Hunsel, G. Bleys and P. Joos: Journal of Colloid and Interface Science 114 (1986) 432–441.
Y. Rotenberg, L. Boruvka and A. W. Neumann: Journal of Colloid and Interface Science 93 (1983) 169–183.
S. Y. Lin, K. McKeigue and C. Maldarelli: AIChE Journal 36 (1990) 1785–1795.
Girault, D. Schiffrin and B. D. V. Smith: J. of Colloid and Interface Science 101 (1984) 257–266.
P. Cheng, D. Li, L. Boruvka, Y. Rotenberg and A. W. Neumann: Colloids and Surfaces 43 (1990) 151–167.
R. Miller and K. Lunkenheimer: Colloid and Polymer Science 264 (1986) 357–361.
J. Lucassen and M. v. d. Tempel: Chemical Engineering Science 27 (1972) 1283.
J. Lucassen and G. T. Barnes: J. C. S. Faraday I 68 (1972) 21–29.
K. Lunkenheimer, C. Hartenstein, R. Miller and D. Wantke: 8 (1984)
G. Gottier, N. Admunson and R. Flumerfelt: J. of Colloid and Interface Scienc 114 (1986) 106.
C. Hsu and R. E. Apfel: Journal of Colloid and Interface Science 107 (1985) 467.
C. Chang and E. Franses: Journal of Colloid and Interface Science 164 (1994) 107–113.
C. Chang and E. Franses: Chemical Engineering Science 49 (1994) 313–325.
R. Miller, R. Sedev, K. H. Schano, C. Ng and A. W. Neumann: Colloids and Surfaces A 69 (1993) 209–216.
S. Lin, T. Lu and W. Hwang: Langmuir 11 (1995) 555–562.
J. Lucassen and v. D. Tempel: J Colloid and Interface Sci. 41 (1972) 491.
C. Sohl, K. Miyano and J. Ketterson: Rev. Sci. Instruments 49 (1978) 1464–1469.
C. Stenvot and D. Langevin: Langmuir 4 (1988) 1179–1183.
D. Langevin: Light Scattering by Liquid Surfaces, Marcel Dekker, New York, 1991.
K. Miyano, B. Abraham, L. Ting and D. T. Wasan: J Colloid and Interface Sci. 92 (1983) 297–302.
C. Lemaire and D. Langevin: Colloids and Surfaces (1992)
I. Panaiotov, A. Sânfeld, A. Bois and J. F. Baret: J of Colloid and Interface Science 96 (1983) 315–321.
G. Loglio, U. Tesei and R. Cini: Rev. Sci. Instr. 59 (1988) 20–45.
P. D. Keyser and P. Joos: Journal of Colloid and Interface Science 91 (1983) 131–137.
P. Joos and G. Bleys: Colloid and Polymer Science 261 (1983) 1038–1042.
J. v. Hunsel, D. Vollhardt and P. Joos: Langmuir 5 (1989) 528–531.
P. Joos and M. v. Uffelen: Journal of Colloid and Interface Science 155 (1995) 271–282.
R. Miller, G. Loglio, U. Tesei and K. H. Schano: Advances in Colloid and Interface Science 37 (1991) 73–96.
J. Lucassen and D. Giles: J Chem Soc Faraday Trans I 71 (1975) 217.
G. Bleys and P. Joos: J Phys Chem 89 (1985) 1027–1032.
R. Defay and J. R. Hommelen: J Colloid Sci. 14 (1959)
V. B. Fainerman and S. V. Lylyk: Kolloidn Zh 44 (1982) 598.
J. F. Baret, A. G. Bois, L. Casalta, J. Dupin, J. Firpo, J. Gonella, L. Melinon and J. Rodeau: Journal of Colloid and Interface Science 25 (1975) 503.
L. Ting, D. T. Wasan, K. Miyano and S. Xu: J Colloid and Interface Science 102 (1984) 248–258.
P. Joos and G. Serrien: Journal of Colloid and Interface Science 127 (1989) 97–103.
C. Chang and E. Franses: Colloids and Surfaces 69 (1992) 189–201.
C. Tsonopoulos, J. Newman and J. M. Prausnitz: Chemical Engineering Science 26 (1971) 817–827.
P. Joos, G. Bleys and G. Petre: J. Chim. Phys. 79 (1982) 387.
M. D. Levan: Jpornal of Colloid and Interface Science 83 (1981) 11–17.
J. Chen and K. Stebe: Journal of Colloid and Interface Science 178 (1996) 144–155.
M. Levan and J. Newman: Aiche Journal 22 (1976) 695–701.
J. Holbrook and M. L. Levan: Chemical Engineering Communications 20 (1983) 191–207.
J. Holbrook and M. L. Levan: Chemical Engineering Communications 20 (1983) 273–290.
R. E. Davis and A. Acrivos: Chemical Engineering Science 21 (1966) 681–685.
S. S. Sadhal and R. E. Johnson: Journal of Fluid Mechanics 126 (1983) 237.
Z. He, C. Maldarelli and Z. Dagan: Journal of Colloid and Interface Science 146 (1991) 442–451.
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Maldarelli, C., Huang, W. (1996). The Effect of Surfactants on the Motion of Bubbles and Drops. In: Schaflinger, U. (eds) Flow of Particles in Suspensions. International Centre for Mechanical Sciences, vol 370. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2714-8_4
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DOI: https://doi.org/10.1007/978-3-7091-2714-8_4
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