Equilibrium of liquid drops under the effects of rotation and acoustic flattening: Results from USML-2 experiments in Space

Journal of Fluid Mechanics

Volumn 354, Issue , 1998, Pages 43-67

  Lee, C P ^a   Anilkumar, A V ^a   Hmelo, A B ^a   Wang, T G ^a  

^a VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; ROTATION;

ACOUSTIC FLATTENING;

DROP FORMATION;

BIFURCATION; DROP STRUCTURE; EQUILIBRIUM; ROTATION;

EID: 0031779677     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097007544     Document Type: Article

References (24)

1. ANILKUMAR, A. V., LEE, C. P. & WANG, T. G. 1993 Stability of an acoustically levitated and flattened drop: an experimental study. Phys. Fluids A 5, 2763-2774.
2. BISWAS, A., LEUNG, E. W. & TRINH, E. H. 1991 Rotation of ultrasonically levitated glycerol drops. J. Acoust. Soc. Am. 90, 1502-1507.
3. BROWN, R. A. & SCRIVEN, L. E. 1980 The shape and stability of rotating liquid drops. Proc. R. Soc. Lond. A 371, 331-357.
4. BUSSE, F. H. & WANG, T. G. 1981 Torque generated by orthogonal acoustic waves-theory. J. Acoust. Soc. Am. 69, 1634-1638.
5. CHANDRASEKHAR, S. 1965 The stability of a rotating liquid drop. Proc. R. Soc. Lond. A 286, 1-26
6. ELLEMAN, D. D., WANG, T. G., TRINH, E. H. & CROONQUIST, A. P. 1985 Contactless measurement of physical properties. NASA Technol. Brief NPO-15839.
7. KING, L. V. 1934 On the acoustic radiation pressure on spheres. Proc. R. Soc. Lond. A 147, 212-240.
8. LAMB, H. 1945 Hydrodynamics, 6th edn. Dover.
9. LEE, C. P., ANILKUMAR, A. V. & WANG, T. G. 1991 Static shape and instability of an acoustically levitated liquid drop. Phys. Fluids A 3, 2497-2515.
10. LEE, C. P., ANILKUMAR, A. V. & WANG, T. G. 1994 Static shape of an acoustically levitated drop with wave-drop interaction. Phys. Fluids 6, 3554-3566.
11. LEE, C. P. & WANG, T. G. 1988 Acoustic radiation potential on a small sphere due to two orthogonal standing waves. J. Acoust. Soc. Am. 83, 2459-2461.
12. LEUNG, E., LEE, C. P., JACOBI, N. & WANG, T. G. 1982 Resonance frequency shift of an acoustic chamber containing a rigid sphere. J. Acoust. Soc. Am. 12, 615-620.
13. LUYTEN, P. & CALLEBAUT, D. K. 1983 Stability of rotating liquid drops. I. Uncharged drops. Phys. Fluids 26, 2359-2367.
14. MARSTON, P. L. 1980 Shape oscillation and static deformation of drops and bubbles by modulated radiation stress - theory. J. Acoust. Soc. Am. 67, 15.
15. MORSE, P. M. & FESHBACH, H. 1953 Methods of Theoretical Physics. McGraw Hill.
16. PLATEAU, J. A. F. 1863 Experimental and theoretical researches on the figures of equilibrium of a liquid mass withdrawn from the action of gravity. Ann. Rep. Board of Regents of the Smithsonian Institution, pp. 270-285. Washington, DC.
17. RHIM, W. K., CHUNG, S. K. & ELLEMAN, D. D. 1988 Experiments on rotating charged liquid drops. Drops and Bubbles, 3rd Intl Colloq., Monterey, CA, 1988 (ed. T. G. Wang). AIP Conf. Proc. 197.
18. ROSS, D. K. 1968 The shape and energy of a revolving liquid mass held together by surface tension. Austral. J. Phys. 21, 823-835.
19. SHI, W. T. & APFEL, R. E. 1995 Instability of a deformed liquid drop in an acoustic field. Phys. Fluids 7, 2601-2607.
20. TRINH, E. H. & HSU, C. J. 1986 Equilibrium shapes of acoustically levitated drops. J. Acoust. Soc. Am. 79, 1335.
21. WANG, T. G., ANILKUMAR, A. V. & LEE, C. P. 1996 Oscillations of liquid drops: results from USML-1 experiments in Space. J. Fluid Mech. 308, 1-14.
22. WANG, T. G., ANILKUMAR, A. V., LEE, C. P. & LIN, K. C. 1994a Bifurcation of rotating liquid drops: results from USML-1 experiments in Space. J. Fluid Mech. 276, 389-403.
23. WANG, T. G., ANILKUMAR, A. V., LEE, C. P. & LIN, K. C. 1994b Core-centering of compound drops in capillary oscillations: observations on USML-1 experiments in Space. J. Colloid Interface Sci. 165, 19-30.
24. WANG, T. G., TRINH, E. H., CROONQUIST, A. P. & ELLEMAN, D. D. 1986 Shapes of rotating free drops Spacelab experimental results. Phys. Rev. Lett. 56, 452-455.