Surfactant adsorption and Marangoni flow in liquid jets. 2. Modeling

Industrial and Engineering Chemistry Research

Volumn 43, Issue 17, 2004, Pages 5203-5220

  Weiss, Michael ^a   Darton, Richard C ^a   Battal, Turgut ^a,b   Bain, Colin D ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b IZMIR INSTITUTE OF TECHNOLOGY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; FLOW OF FLUIDS; GRAVITATION; JETS;

MARANGONI FLOW; SURFACTANT ADSORPTION;

SURFACE ACTIVE AGENTS;

ADSORPTION; GRAVITY FLOW; LIQUID FLOW; MODELING; SURFACTANT;

ADSORPTION; ARTICLE; GRAVITY; LIQUID; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MICELLE; SHEAR FLOW; SHEAR STRESS; SURFACE TENSION; VELOCITY;

EID: 4043059211     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie049943l     Document Type: Article

References (31)

1. Lyklema, J. Fundamentals. Fundamentals of Interfaces and Colloid Science; Academic Press: London, 1991; Vol. 1.
2. Dickinson, E.; Walstra, P. Food Colloids and Polymers: Stability and Mechanical Properties; Royal Society of Chemistry: Cambridge, U.K., 1993.
3. Groteberg, J. B.; Gaver, D. P. A Synopsis of Surfactants Spreading Research. J. Colloid Interface Sci. 1996, 178, 377-378.
4. Karsa, D. R. Industrial Applications of Surfactants 2; Special Publication No. 77; Royal Society of Chemistry: Cambridge, U.K., 1990.
5. Lockett, M. J. Distillation Tray Fundamentals; Cambridge University Press: Cambridge, U.K., 1986.
6. Battal, T.; Bain, C. D.; Weiss, M.; Darton, R. C. Surfactant Adsorption and Marangoni Flow in Liquid Jets: I Experiments. J. Colloid Interface Sci. 2003, 263, 250-260.
7. Deen, W. M. Analysis of Transport Phenomena; Oxford University Press: Oxford, U.K., 1998.
8. Scriven, L. E.; Pigford, R. L. Fluid Dynamics and Diffusion Calculations for Laminar Liquid Jets. AIChE J. 1959, 5, 397-402.
9. Rideal, E. K.; Sutherland, K. L. The Variation of the Surface Tension of Solutions with Time. Trans. Faraday Soc. 1952, 48, 1109-1123.
10. Goren, S. L. Development of the Boundary Layer at a Free Surface from a Uniform Shear Flow. J. Fluid Mech. 1966, 25, 87-95.
11. Goren, S. L.; Wronski, S. The Shape of Low-Speed Capillary Jets of Newtonian Liquids. J. Fluid Mech. 1966, 25, 185-198.
12. Tillett, J. P. K. On the Laminar Flow in a Free Jet of Liquid at High Reynolds Numbers. J. Fluid Mech. 1968, 32, 273-292.
13. Middleman, S. Modeling Axisymmetric Flows-Dynamics of Films, Jets, and Drops; Academic Press: San Diego, 1995.
14. Fisher, R. J.; Denn, M. M.; Tanner, R. I. Initial Profile Development in Melt Spinning. Ind. Eng. Chem. Fundam. 1980, 19, 195-197.
15. Dutta, A.; Ryan, M. E. Dynamics of a Creeping Newtonian Jet with Gravity and Surface Tension: A Finite Difference Technique for Solving Steady Free-Surface Flows Using Orthogonal Curvilinear Coordinates. AIChE J. 1982, 28, 220-232.
16. Levich, V. G. Physicochemical Hydrodynamics; Prentice-Hall: Englewood Cliffs, NJ, 1962.
17. Georgiou, G. C.; Papanastasiou, T. C.; Wilkes, J. O. Laminar Newtonian Jets at High Reynolds Number and High Surface Tension. AIChE J. 1988, 34, 1559-1562.
18. Omodei, B. J. On the Die-Swell of an Axisymmetric Newtonian Jet. Comput. Fluids 1980, 8, 275-289.
19. Vrentas, J. S.; Vrentas, C. M.; Shirazi, A. F. Downstream Boundary Conditions for Vertical Jets. AIChE J. 1985, 31, 1044-1046.
20. Bain, C. D.; Manning-Benson, S.; Darton, R. C. Rates of Mass Transfer and Adsorption of CTAB at an Expanding Air-Water Interface. J. Colloid Interface Sci. 2000, 229, 247-256.
21. Breward, C. J. W.; Darton, R. C.; Howell, P. D.; Ockendon, J. R. The Effect of Surfactants on Expanding Free Surfaces. Chem. Eng. Sci. 2001, 56, 2867-2878.
22. Schunk, P. R. Surfactant and Polymer Additives in Coating and Related Flows. Ph.D. Thesis, University of Minnesota, 1989.
23. Schunk, P. R.; Scriven, L. E. Surfactant Effects in Coating Processes. In Liquid Film Coating; Kistler, S. F., Schweizer, P. M., Eds.; Chapman & Hall: London, 1997; Chapter 11d, pp 495-536.
24. Ghadiali, S. N.; Halpern, D.; Gaver, D. P., III, A Dual-Reciprocity Boundary Element Method for Evaluating Bulk Convective Transport of Surfactant in Free-Surface Flows. J. Comput. Phys. 2001, 171, 534-559.
25. Cerro, R. L.; Whitaker, S. The Effect of Surfactants on the Hydrodynamic Development of Thin Liquid Films. J. Colloid Interface Sci. 1971, 37, 33-51.
26. Langmuir, I. The Adsorption of Gases on Plane Surfaces of Glass, Mica and Platinum. J. Am. Chem. Soc. 1918, 40, 1361-1403.
27. Fornberg, B. Calculation of Weights in Finite Difference Formulas. SIAM Rev. 1998, 40, 685-691.
28. von Szyszkowski, B. Experimentelle Studien über kapillare Eigenschaften der wässerigen Lösungen von Fettsäuren. Z. Phys. Chem. 1908, 64, 385-414.
29. Anderson, J. D., Jr. Computational Fluid Dynamics-The Basics with Applications; McGraw-Hill: New York, 1995.
30. Hughes, T. J. R.; Brooks, A. N. A Multidimensional Upwind Scheme with no Cross-Wind Diffusion. In Finite Element Methods for Advection-Dominated Flows; Hughes, T. J. R., Ed.; ASME Publication ASME-AMD 34; ASME: American Society of Mechanical Engineers: Fairfield, NJ, 1979.
31. MacLeod, C. A.; Radke, C. J. Charge Effects in the Transient Adsorption of Ionic Surfactants at Fluid Interfaces. Langmuir 1994, 10, 3555-3566.