Planar thermocapillary migration of two bubbles in microgravity environment

Physics of Fluids

Volumn 15, Issue 10, 2003, Pages 3015-3027

  Sun, R ^a,b   Hu, W R ^a  

^a INSTITUTE OF MECHANICS   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID MECHANICS; REYNOLDS NUMBER; SURFACE TENSION; TEMPERATURE CONTROL;

THERMOCAPILLARY MOTIONS;

BUBBLES (IN FLUIDS);

BUBBLE; CAPILLARY FLOW; MATHEMATICAL ANALYSIS; MICROGRAVITY; REYNOLDS NUMBER; SURFACE TENSION;

EID: 0242318354     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1607326     Document Type: Article

References (20)

1. N. O. Young, J. S. Goldstein, and M. J. Block, "The motion of bubbles in a vertical temperature gradient," J. Fluid Mech. 6, 650 (1959).
2. G. Wozniak, J. Siekmann, and J. Srulijes, "Thermocapillary bubble and drop dynamics under reduced gravity-survey and prospects," Z. Flugwiss. Weltraumforsch. 12, 137 (1988).
3. R. S. Subramanian, "The motion of bubbles and drops in reduced gravity," in Transport Processes in Bubbles, Drops and Particles, edited by R. P. Chhabra and D. Dekee (Hemisphere, New York, 1992), pp. 1-42.
4. M. Meyyappan, W. R. Wilcox, and R. S. Subramanian, "The slow axisymmetric motion of two bubbles in a thermal gradient," J. Colloid Interface Sci. 94, 243 (1983).
5. F. Feuillebois, "Thermocapillary migration of two equal bubbles parallel to their line centers," J. Colloid Interface Sci. 131, 267 (1989).
6. M. Meyyappan and R. S. Subramanian, "The thermocapillary motion of two bubbles oriented arbitrarily relative to a thermal gradient," J. Colloid Interface Sci. 97, 291 (1984).
7. S. Kim and S. J. Karrila, Microhydrodynamics: Principles and Selected Applications (Butterworths-Heinemann, London, 1991).
8. J. L. Anderson, "Droplet interactions in thermocapillary motion," Int. J. Multiphase Flow 11, 813 (1985).
9. A. Acrivos, D. J. Jeffrey, and D. A. Saville, "Particle migration in suspensions by thermocapillary or electrophoretic motion," J. Fluid Mech. 212, 95 (1990).
10. H. J. Keh and L. S. Chen, "Droplet interactions in axisymmetric thermocapillary motion," J. Colloid Interface Sci. 151, 1 (1992).
11. H. Wei and R. S. Subramanian, "Thermocapillary migration of a small chain of bubbles," Phys. Fluids A 5, 1583 (1993).
12. J. V. Satrape, "Interactions and collisions of bubbles in thermocapillary motion," Phys. Fluids A 4, 1883 (1992).
13. Y. Wang, R. Mauri, and A. Acrivos, "Thermocapillary migration of a bidisperse suspension of bubbles," J. Fluid Mech. 261, 47 (1994).
14. R. Sun and W. R. Hu, "The thermocapillary migrations of two bubbles in microgravity environment," J. Colloid Interface Sci. 255, 375 (2002).
15. R. S. Subramanian, "Slow migration of a gas bubble in a thermal gradient," AIChE J. 27, 646 (1981).
16. H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, 1932).
17. W. Cheney and D. Kincaid, Numerical Mathematics and Computing (Brooks/Cole, Pacific Grove, CA, 1999).
18. R. Sun and A. T. Chwang, "Hydrodynamic interaction between two cylinders with rotation," J. Phys. Soc. Jpn. 70, 91 (2001).
19. R. Sun and A. T. Chwang, "Hydrodynamic interaction between a slightly distorted sphere and a fixed sphere," Theor. Fluid Dyn. 15, 11 (2001).
20. E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics (Chelsea, New York, 1955).