Review of immiscible fluid mixing

Advances in Colloid and Interface Science

Volumn 81, Issue 1, 1999, Pages 1-17

  Briscoe, B J ^a   Lawrence, C J ^a   Mietus, W G P ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIONS; DROP BREAKUP; MIXING; SHEAR FLOW; SURFACE ACTIVE AGENTS;

IMMISCIBLE FLUID MIXING;

FLOW INTERACTIONS;

EID: 0032633023     PISSN: 00018686     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0001-8686(99)00002-0     Document Type: Article

References (56)

1. Whitehead J.A. Fluid models of geological hotspots. Ann. Rev. Fluid Mech. 20:1988;61-87.
2. Taylor G.I. The formation of emulsions in definable fields of flow. Proc. R. Soc. A146:1934;501-523.
3. C. Duncan, X. Li, 1998, Web page on droplet break-up, http://www.osc.edu/Pharoh/App/drops/droplet-breakup.htm.
4. Rayleigh, Proc. Lond. Math. Soc. 10 (1879) 4.
5. Rayleigh, Proc. Lond. Math. Soc. 29 (1879) 71.
6. Tomotika S. On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. Proc. R. Soc. A150:1935;322-337.
7. Tomotika S. Breaking up of a drop of viscous liquid immersed in another viscous fluid which is extending at a uniform rate. Proc. R. Soc. A153:1936;302-318.
8. Buckmaster J.D. Pointed bubbles in slow viscous flow. J. Fluid Mech. 55:1972;385-400.
9. Mikami T., Cox R.G., Mason S.G. Break-up of extending liquid threads. Int. J. Multiph. Flow. 2:1975;113-138.
10. Hinch E.J., Acrivos A. Long slender drops in a simple shear flow. J. Fluid Mech. 98:1980;305-328.
11. Rallison J.M. The deformation of small viscous drops and bubbles in shear flows. Annu. Rev. Fluid Mech. 16:1984;45-66.
12. Bentley B.J., Leal L.G. An experimental investigation of drop deformation and break-up in steady, two-dimensional linear flows. J. Fluid Mech. 167:1986;241-283.
13. Bentley B.J., Leal L.G. A computer controlled four-roll mill for investigations of particle and drop dynamics in two-dimensional linear shear flows. J. Fluid Mech. 167:1986;219-240.
14. Brady J.D., Acrivos A. The deformation and break-up of a slender drop in extensional flow: inertial effects. J. Fluid Mech. 115:1982;443-451.
15. Wieringa J.A., VanDieren F., Janssen J.J.M., Agterof W.G.M. Droplet break-up mechanisms during emulsification in colloid mills at high dispersed phase volume fraction. Trans. I Chem E. 74A:1996;554-562.
16. Janssen J.M.H., Peters G.W.M., Meijer H.E.H. An opposed jets device for studying the break-up of dispersed liquid drops. Chem. Eng. Sci. 48(2):1993;255-265.
17. Arcoumanis C., Whitelaw D.S., Whitelaw J.H. Break-up of droplets of Newtonian and non-Newtonian fluids. At. Sprays. 6(3):1996;245-256.
18. Rallison J.M. Note on the time-dependant deformation of a viscous drop which is almost spherical. J. Fluid Mech. 98:1980;625-633.
19. Pozrikidis C. The deformation of a liquid drop moving normal to a plane wall. J. Fluid Mech. 215:1990;331-363.
20. Pozrikidis C. The instability of a moving viscous drop. J. Fluid Mech. 210:1990;1-21.
21. Brunn P.O. The deformation of a viscous particle surrounded by an elastic shell in a general time-dependent linear flow field. J. Fluid Mech. 126:1983;533-544.
22. Pozrikidis C. Finite deformation of liquid capsules enclosed by elastic membranes in simple shear flow. J. Fluid Mech. 297:1995;123-152.
23. Janssen J.J., Boon A., Agterof W.G.M. Droplet break-up in simple shear flow in the presence of emulsifiers. Colloid Surfaces. 91:1994;141-148.
24. Janssen J.J.M., Boon A., Agterof W.G.M. Influence of dynamic interfacial properties on droplet break-up in simple shear flow. AIChE J. 40:1994;1929-1939.
25. R. Defay, I. Prigogine, Surface Tension and Adsorption. John Wiley, 1966.
26. E.A. Evans, R. Skalak, Mechanics and Thermodynamics of Biomembranes, CRC Press, 1980.
27. Mavrovouniotis G.M., Brenner H. A micromechanical investigation of interfacial transport processes, 1: Interfacial conservation equations. Phil. Trans. R. Soc. Lond. A345:1993;165-207.
28. Li X., Pozrikidis C. The effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow. J. Fluid Mech. 341:1997;165-194.
29. He Z., Dagan Z., Maldarelli C. The influence of surfactant adsorption on the motion of a fluid sphere in a tube. Part 1. Uniform retardation controlled by sorption kinetics. J. Fluid Mech. 222:1991;1-32.
30. Borhan A., Mao C.F. Effect of surfactants on the motion of drops through circular tubes. Phys. Fluids. A4:1992;2628-2640.
31. Pozrikidis C. On the transient motion of ordered suspensions of liquid drops. J. Fluid Mech. 246:1993;301-320.
32. Park C., Maruvada S.R., Yoon D. The influence of surfactant on the bubble motion in Hele-Shaw cells. Phys. Fluids. A6:1994;3267-3275.
33. Lu H., Apfel R.E. Shape oscillations of drops in the presence of surfactants. J. Fluid Mech. 222:1991;351-368.
34. Tian Y., Holt R.G., Apfel R.E. Investigations of liquid surface rheology of surfactant solutions by droplet shape oscillations: theory. Phys. Fluids. A7:1995;2938-2949.
35. Stone H.A., Leal L.G. The effects of surfactants on drop deformation and break-up. J. Fluid Mech. 220:1990;161-186.
36. Janssen J.J., Meijer H.E.H. Droplet break-up mechanisms; Stepwise equilibrium versus transient dispersion. J. Rheol. 37(4):1993;597-608.
37. Pawar Y., Stebe K.J. Marangoni effects on drop deformation in an extensional flow: the role of surfactant physical chemistry. 1. Insoluble surfactants. Phys. Fluids. A8:1996;1738-1751.
38. Milliken W., Leal L.G. The effect of surfactant on the deformation and break-up of a viscous drop: the effect of surfactant solubility. Phys. Fluids. A5:1994;69-79.
39. Cox R.G. The deformation of a drop in general time-dependant fluid flow. J. Fluid Mech. 37:1969;601-623.
40. Lo T.S., Acrivos A. Deformation and break-up of a single drop in an extensional flow. J. Fluid Mech. 86:1978;641-672.
41. Zhang X., Basaran O.A. An experimental study of dynamics of drop formation. Phys. Fluids. 7:1995;1184-1203.
42. Collias D.I., Prud'Homme R.K. Diagnostic techniques of mixing effectiveness; the effect of shear and elongation in drop production in mixing tanks. Chem. Eng. Sci. 47(6):1992;1401-1410.
43. Jumar S., Kumar R., Gandhi K.S. Alternative mechanisms of droplet breakage in stirred vessels. Chem. Eng. Sci. 46(10):1991;2483-2489.
44. Zhou H., Pozrikidis C. The flow of ordered and random suspensions of two-dimensional drops in a channel. J. Fluid Mech. 255:1993;103-127.
45. Manga M.M. Dynamics of drops in cavity flows: aggregation of high viscosity ratio drops. Phys. Fluids. 8:1996;1732-1737.
46. Qian J., Law C.K. Regimes of coalescence and separation in droplet collision. J. Fluid Mech. 331:1997;59-80.
47. Xiaofan L., Charles R., Pozrikidis C. Simple shear flow of suspensions of liquid drops. J. Fluid Mech. 320:1996;395-416.
48. Lin S.Y., Bevis M.J. The application of the cavity transfer mixer in injection moulding: analysis of machine performance. Plast. Rubber Processing Appl. 7(1):1987;29-41.
49. Lin S.Y., Bevis M.J. The application of the cavity transfer mixer in injection moulding: modelling of mixing applications. Plast. Rubber Processing Appl. 7(1):1987;41-48.
50. Gale G.M., Hindmarch R.S. Applications of the cavity transfer mixer to rubber extrusion. Elastomerics. 114:1982;20-25.
51. Chudinov V.S., Chudinova L.A. Device for distributing and mixing fluids. Chem Petroleum Eng. 31:1995;348-349.
52. Schneider G. Continuous mixing of fluids using motionless mixers. Chem Petroleum Eng. 31(7/8):1995;361-370.
53. Nouri J.M., Whitelaw J.H. Flow characteristics of stirred reactors with Newtonian and non-Newtonian fluids. AIChE J. 36:1990;627-629.
54. Elemans P.H.M., Bos H.L., Janssen J.M.H., Meijer H.E.H. Transient phenomena in dispersive mixing. Chem. Eng. Sci. 48(2):1993;267-276.
55. Stone H.A., Bentley B.J., Leal L.G. An experimental study of transient effects in the break-up of viscous drops. J. Fluid Mech. 173:1986;131-153.
56. Tjahjadi M., Ottino J.M. Stretching and breakup of droplets in chaotic flows. J. Fluid Mech. 232:1991;191-219.