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Instability of a liquid jet subject to disturbances composed of two wavenumbers

Published online by Cambridge University Press:  26 April 2006

H. Huynh ,
N. Ashgriz  and
F. Mashayek
H. Huynh
Affiliation:
Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260, USA
N. Ashgriz
Affiliation:
Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260, USA
F. Mashayek
Affiliation:
Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260, USA
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Abstract

The instability of viscous capillary jets subject to disturbances consisting of two superposed wavenumbers, and for large disturbance amplitudes is investigated. Disturbances composed of the superposition of a fundamental disturbance (first harmonic) with either its second or third harmonic are used. The influence of the wavenumber of the fundamental disturbance on the jet breakup is studied for a disturbance composed of a first harmonic with an initial non-dimensional amplitude of ε1 = 0.01 and a second harmonic with an initial non-dimensional amplitude of ε2 = 0.05. The influence of the initial amplitudes of the first and second harmonics on the jet breakup is studied for two non-dimensional wavenumbers of the fundamental (first harmonic): k = 0.45 and k = 0.7; the second harmonic is unstable in the former and stable in the latter case. The effect of an added third harmonic is studied only for k = 0.45 but for a wide range of initial amplitudes. All cases are studied for an in-phase and a 180° out-of-phase superposition of the two waves. The nonlinear interaction between the two waves results in the formation of a variety of drop sizes and shapes. The breakup times can be controlled within a wide range using this technique.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 320 , 10 August 1996 , pp. 185 - 210
Copyright
© 1996 Cambridge University Press

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