The effect of surfactant on the motion of long bubbles in horizontal capillary tubes

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2010, Issue 2, 2010, Pages

  Daripa, Prabir ^a   Paa, Gelu ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b INSTITUTE OF MATHEMATICS   (Romania)

Author keywords

Hydrodynamic waves; Thin film deposition (theory)

Indexed keywords

EID: 77949850646     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/02/L02002     Document Type: Article

References (26)

1. Ben Amar M and Poire E C 1999 Pushing a non-Newtonian fluid in a Hele-Shaw cell: from fingers to needles Phys. Fluids 11 1757
2. Bender C M and Orszag S A 1978 Advanced Mathematical Methods for Scientists and Engineers (New York: McGraw-Hill) p593
3. Bonn D, Kellay H, Ben Amar M and Meunier J 1995 Viscous finger widening with surfactants and polymers Phys. Rev. Lett. 75 2132
4. Bonn D, Kellay H, Braunlich M, Ben Amar M and Meunier J 1995 Viscous fingering in complex fluids Physica A 220 60
5. Bretherton F P 1961 The motion of long bubbles in tubes J. Fluid Mech. 10 166
6. Chevalier C, Ben Amar M, Bonn D and Lindner A 2006 Inertial effects on Saffman-Taylor viscous fingering J. Fluid Mech. 552 83
7. Chen J D 1986 Measuring the film thickness surrounding a bubble inside a capillary J. Colloid Interface Sci. 109 34
8. Daripa P and Pasa G 2009 The thickening effect of interfacial surfactant in the drag-out coating problem J. Stat. Mech. L07002
9. Fairbrother F and Stubbs A E 1935 Studies in electroendosmosis. Part VI. The bubble-tube methods of measurements J. Chem. Soc. 1 527
10. Goldschmidt H and Mason S 1963 The flow suspensions through tubes II. Single large bubbles J. Colloid Sci. 18 237
11. Ginley G M and Radke C J 1989 Influence of soluble surfactants on the flow of long bubbles through a cylindrical capillary ACS Symp. Ser. 396 480
12. Krechetnikov R and Homsy G M 2006 Surfactant effects in the Landau-Levich problem J. Fluid Mech. 559 429
13. Landau D and Levich V G 1942 Dragging of a liquid by a moving plate Acta Physicochim 17 42
14. Levich V G 1962 Physicochemical Hydrodynamics (Englewood Cliffs, NJ: Prentice-Hall)
15. Lindner A, Bonn D, Poire E C, Ben Amar M and Meunier J 2002 Viscous fingering in non-Newtonian fluids J. Fluid Mech. 469 237
16. Lindner A, Coussot P and Bonn D 2000 Viscous fingering in a yield stress fluid Phys. Rev. Lett. 85 314
17. Lindner A, Bonn D and Meunier J 2000 Viscous fingering in a shear-thinning fluid Phys. Fluids 12 256
18. Lindner A, Bonn D and Meunier J 2000 Viscous fingering in complex fluids J. Phys.: Condens. Matter 12 A477
19. Marchessault R N and Mason S G 1960 Flow of entrapped bubbles through a capillary Ind. Chem. Eng. 52 79
20. Park C W 1991 Effects of insoluble surfactant in dip coating J. Colloid Interface Sci. 146 382
21. Park C W and Homsy G M 1984 Two phase displacement in Hele-Shaw cells-theory J. Fluid Mech. 139 291
22. Ratulowski J and Chang H C 1990 Marangoni effects of trace impurities on the motion of long gas bubbles in capillaries J. Fluid Mech. 210 303
23. Schwartz L, Princen H and Kuss A D 1986 On the motion of bubbles in capillary tubes J. Fluid Mech. 172 259
24. Taylor G I 1961 Deposition of a viscous fluid on the wall of a tube J. Fluid Mech. 10 161
25. Teletzke G F 1983 The liquid films: molecular theory and hydrodynamic implications PhD Thesis University of Minnesota
26. Wong H, Rumschitzki D and Maldarelli C 1990 On the surfactant mass balance at a deforming interface Phys. Fluids A 8 3203