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Experimental and theoretical investigation of large-amplitude oscillations of liquid droplets

Published online by Cambridge University Press:  26 April 2006

E. Becker ,
W. J. Hiller  and
T. A. Kowalewski
E. Becker
Affiliation:
Max-Planck-Institut für Strömungsforschung, Bunsenstrasse 10, 3400 Göttingen. Germany
W. J. Hiller
Affiliation:
Max-Planck-Institut für Strömungsforschung, Bunsenstrasse 10, 3400 Göttingen. Germany
T. A. Kowalewski
Affiliation:
Max-Planck-Institut für Strömungsforschung, Bunsenstrasse 10, 3400 Göttingen. Germany
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Abstract

Finite-amplitude, axially symmetric oscillations of small (0.2 mm) liquid droplets in a gaseous environment are studied, both experimentally and theoretically. When the amplitude of natural oscillations of the fundamental mode exceeds approximately 10% of the droplet radius, typical nonlinear effects like the dependence of the oscillation frequency on the amplitude, the asymmetry of the oscillation amplitude, and the interaction between modes are observed. As the amplitude decreases due to viscous damping, the oscillation frequency and the amplitude decay factor reach their asymptotical values predicted by linear theory. The initial behaviour of the droplet is described quite satisfactorily by a proposed nonlinear inviscid theoretical model.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 231 , October 1991 , pp. 189 - 210
Copyright
© 1991 Cambridge University Press

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