Hostname: page-component-848d4c4894-jbqgn Total loading time: 0 Render date: 2024-07-01T01:51:05.916Z Has data issue: false hasContentIssue false
  • English
  • Français

Bifurcation of rotating liquid drops: results from USML-1 experiments in Space

Published online by Cambridge University Press:  26 April 2006

T. G. Wang ,
A. V. Anilkumar ,
C. P. Lee  and
K. C. Lin
T. G. Wang
Affiliation:
Center for Microgravity Research and Applications, Vanderbilt University, Nashville, TN 37235, USA
A. V. Anilkumar
Affiliation:
Center for Microgravity Research and Applications, Vanderbilt University, Nashville, TN 37235, USA
C. P. Lee
Affiliation:
Center for Microgravity Research and Applications, Vanderbilt University, Nashville, TN 37235, USA
K. C. Lin
Affiliation:
Center for Microgravity Research and Applications, Vanderbilt University, Nashville, TN 37235, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Experiments on bifurcation of rotating liquid drops into two-lobed shapes were conducted during a Space shuttle flight. The drops were levitated in air and spinned using acoustic fields in the low-gravity environment. These experiments have successfully resolved the discrepancies existing between the previous experimental results and the theoretical predictions. In the simplest case of a rotating drop that is free from deformation by external forces, the results agree well with the existing theoretical predictions. In the case of a rotating drop subjected to flattening by the acoustic radiation stress, deliberately or otherwise, the experiments suggest the existence of a family of curves, with the free drop as the limiting case.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 276 , 10 October 1994 , pp. 389 - 403
Copyright
© 1994 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Benner, R. E., Basaran, O. A. & Scriven, L. E. 1991 Equilibria, stability and bifurcations of rotating columns of fluid subjected to planar disturbances. Proc. R. Soc. Lond. A 433, 81–99.Google Scholar
Biswas, A., Leung, E. W. & Trinh, E. H. 1991 Rotation of ultrasonically levitated glycerol drops. J. Acoust. Soc. Am. 90, 1502–1507.Google Scholar
Brown, R. A. & Scriven, L. E. 1980 The shape and stability of rotating liquid drops. Proc. R. Soc. Lond. A 371, 331–357.Google Scholar
Busse, F. H. & Wang, T. G. 1981 Torque generated by orthogonal acoustic waves – theory. J. Acoust. Soc. Am. 69, 1634–1638.Google Scholar
Chandrasekhar, S. 1965 The stability of a rotating liquid drop. Proc. R. Soc. Lond. A 286, 1–26.Google Scholar
King, L. V. 1934 On the acoustic radiation pressure on spheres. Proc. R. Soc. Lond. A 147, 212–240.Google Scholar
Lamb, H. 1945 Hydrodynamics, 6th edn. Dover.
Luyten, P. 1987 Stability of rotating liquid drop immersed in a corotating fluid with different density. Proc. R. Soc. Lond. A 414, 59–82.Google Scholar
Luyten, P. & Callebaut, D. K. 1983 Stability of rotating liquid drops: I. Uncharged drops. Phys. Fluids 26, 2359–2367.Google Scholar
Luyten, P. & Callebaut, D. K. 1985 Stability of rotating liquid drops: II. Homogeneously charged or self-gravitating drops. Phys. Fluids 28, 2344–2351.CrossRefGoogle Scholar
Plateau, J. A. F. 1863 Experimental and theoretical researches on the figures of equilibrium of a liquid mass withdrawn from the action of gravity. Annual Report of the Board of Regents of the Smithsonian Institution, Washington, DC, pp. 270–285.
Rayleigh, Lord 1882 On an instrument capable of measuring the intensity of aerial vibrations. Phil. Mag. 14, 186.Google Scholar
Rhim, W. K., Chung, S. K. & Elleman, D. D. 1989 Experiments on rotating charged liquid drops. AIP Conf. Proc. 197 : Drops and Bubbles, 3rd Intl Colloqu. Monterey, CA, 1988 (ed. T. G. Wang). AIP.
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.Google Scholar