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Experimental study of the oscillations of a rotating drop

Published online by Cambridge University Press:  20 April 2006

P. Annamalai ,
E. Trinh  and
T. G. Wang
P. Annamalai
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109
E. Trinh
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109
T. G. Wang
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109
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Abstract

Two- and three-lobed oscillations of a rotating liquid drop immersed in an immiscible fluid of comparable density and the same angular velocity were studied experimentally. Using acoustically suspended drops, it has been found that the relative change in the resonance frequencies of the axisymmetric drop-shape oscillations Δωl/ωl(0) is proportional to the square of the normalized angular speed (Ω/ωl(0))2 when ωl > 2Ω. This is in agreement with a recent analytical study of the same problem. Some preliminary results regarding the effect of rotation on the free-decay rate of the two-lobed oscillations are also presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 158 , September 1985 , pp. 317 - 327
Copyright
© 1985 Cambridge University Press

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References

Busse F. H. 1984 J. Fluid Mech. 142, 1.
Greenspan H. P. 1969 The Theory of Rotating Fluids, p. 10 and p. 51. Cambridge University Press.
Lamb H. 1932 Hydrodynamics, pp. 473–639. Cambridge University Press.
Marston P. L. 1980 J. Acoust. Soc. Am. 67, 15.
Trinh, E. & Wang T. 1982 J. Fluid Mech. 122, 315.
Trinh E., Zwern, A. & Wang T. 1982 J. Fluid Mech. 115, 453.
Wang T. G., Tagg R., Cammack, L. & Croonquist A. 1982 Proc. 2nd Int. Colloquium on Drops and Bubbles, JPL Tech. Rep. 82–7, pp. 203–213. Jet Propulsion Laboratory, Pasadena, California.