The motion of a viscous drop through a cylindrical tube

Journal of Fluid Mechanics

Volumn 501, Issue , 2004, Pages 279-301

  Hodges, S R ^a   Jensen, O E ^b   Rallison, J M ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; LUBRICATION; REYNOLDS NUMBER; SURFACE TENSION; THIN FILMS;

PRESSURE GRADIENTS; VISCOUS DROPS;

VISCOSITY;

CYLINDER; DROPLET; MATHEMATICAL ANALYSIS; MODELING; VISCOUS FLOW;

EID: 1842524070     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003007213     Document Type: Article

References (25)

1. BRETHERTON, F. P. 1961 The motion of long bubbles in tubes. J. Fluid Mech., 10, 166-188.
2. CACHILE, M., CHERTCOFF, R., CALVO, A., ROSEN, M., HULIN, J. P. & CAZABAT, A. M. 1996 Residual film dynamics in glass capillaries. J. Colloid Interface Sci. 182, 483-491.
3. CARROLL, B. J. & LUCASSEN, J. 1973 Capillarity-controlled entrainment of liquid by a thin cylindrical filament. Chem. Engng Sci. 28, 23-30.
4. CHEN, J. D. 1986 Measuring the film thickness surrounding a bubble inside a capillary. J. Colloid Interface Sci. 109, 341-349.
5. DAVIS, R. H., SCHONBERG, J. A. & RALLISON, J. M. 1989 The lubrication force between two viscous drops. Phys. Fluids A 1, 93-106.
6. FAIRBROTHER, F. & STUBBS, A. E. 1935 Studies in electroendosmosis. Part IV. The bubble-type method of measurement. J. Chem. Soc. 1, 527-540.
7. GHADIALI, S. N. & GAVER, D. P. III 2003 The influence of non-equilibrium surfactant dynamics on the flow of a semi-infinite bubble in a rigid cylindrical capillary tube. J. Fluid Mech. 478, 165-196.
8. GOLDSMITH, H. L. & MASON, S. G. 1963 The flow of suspensions through tubes. II. Single large bubbles. J Colloid Sci. 18, 237-261.
9. HODGES, S. R. 2003 Hydrodynamics of fluid drops and cells near a wall. PhD Thesis, University of Cambridge.
10. JACQMIN, D. 2002 Very, very fast wetting. J. Fluid Mech. 455, 347-358.
11. JANSONS, K. M. & LISTER, J. R. 1988 The general solution of Stokes flow in a half-space as an integral of the velocity on the boundary. Phys. Fluids 31, 1321-1323.
12. MARTINEZ, M. J. & UDELL, K. S. 1990 Axisymmetric creeping motion of drops through circular tubes. J. Fluid Mech. 210, 565-591.
13. OU RAMDANE, O. & QUÉRÉ, D. 1997 Thickening factor in Marangoni coating. Langmuir 13, 2911-2916.
14. PARK, C. W. 1991 Effects of insoluble surfactants on dip coating. J. Colloid Interface Sci. 146, 382-394.
15. PARK, C. W. & HOMSY, G. M. 1984 Two-phase development in Hele-Shaw cells: theory. J. Fluid Mech. 237, 291-308.
16. POZRIKIDIS, C. 1992 Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.
17. QUÉRÉ, D. 1999 Fluid coating on a fiber. Annu. Rev. Fluid Mech. 31, 347-384.
18. QUÉRÉ, D., DE RYCK, A. & OU RAMDANE, O. 1997 Liquid coating from a surfactant solution. Europhys. Lett. 37, 305-310.
19. RATULOWSKI, J. & CHANG, H.-C. 1990 Marangoni effects of trace impurities on the motion of long gas bubbles in capillaries. J. Fluid Mech. 210, 303-328.
20. SCHWARTZ, L. W., PRINCEN, H. M. & KISS, A. D. 1986 On the motion of bubbles in capillary tubes. J. Fluid Mech. 172, 259-275.
21. SHEN, A. Q., GLEASON, B., MCKINLEY, G. H. & STONE, H. A. 2002 Fiber coating with surfactant solutions. Phys. Fluids 14, 4055-4068.
22. STEBE, K. J., LIN, S. Y. & MALDARELLI, C. 1991 Remobilizing surfactant retarded fluid particle interfaces. 1. Stress-free conditions at the interfaces of micellar solutions of surfactants with fast sorption kinetics. Phys. Fluids A 3, 3-20.
23. TAYLOR, G. I. 1961 Deposition of a viscous fluid on the wall of a tube. J. Fluid Mech. 10, 161-165.
24. TELETZKE, G. F., DAVIS, H. T. & SCRIVEN, L. E. 1988 Wetting hydrodynamics. Revue Phys. Appl. 23, 989-1007.
25. WESTBORG, H. & HASSAGER, O. 1989 Creeping motion of long bubbles and drops in capillary tubes. J. Colloid Interface Sci. 133 135-147.