Journal ArticleDOI
The nonlinear capillary instability of a liquid jet. Part 1. Theory
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In this paper, an axisymmetric infinite liquid column is investigated with an initial velocity disturbance consisting of a fundamental and one harmonic component, and a third-order solution is developed using the method of strained co-ordinates.Abstract:
Nonlinear capillary instability of an axisymmetric infinite liquid column is investigated with an initial velocity disturbance consisting of a fundamental and one harmonic component. A third-order solution is developed using the method of strained co-ordinates. For the fundamental disturbance alone, the solution shows that a cut-off zone of wavenumbers (k) exists such that the surface waves grow exponentially below the cut-off zone, linearly in the middle of the zone (near k = 1), and an oscillatory solution exists for wavenumbers above the boundary of the zone. For an input including both the fundamental and a harmonic, all wave components grow exponentially when the fundamental is below the cut-off zone. Using a Galilean transformation, the solution is applied to a progressive jet issuing from a nozzle. The jet breaks into drops interspersed with smaller (satellite) drops for k 0·65. It is shown theoretically that the formation of satellites can be controlled by forcing the jet with a suitable harmonic added to the fundamental.read more
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References
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Journal ArticleDOI
Non-linear capillary instability of a liquid jet
TL;DR: In this paper, a third-order theory has been developed to study capillary instability of a liquid jet, and it has been shown that the asymmetrical development of an initially sinusoidal wave is a nonlinear effect with generation of higher harmonics as well as feedback into the fundamental.
Journal ArticleDOI
Experiments on liquid jet instability
E. F. Goedde,M. C. Yuen +1 more
TL;DR: In this article, the authors examined the capillary instability of vertical liquid jets of different viscosities by imposing audio-frequency disturbances and found that non-linear effects dominate the growth processes.
Journal ArticleDOI
Experiments on the Capillary Instability of a Liquid Jet
Russell J. Donnelly,W. Glaberson +1 more
TL;DR: In this article, the stability of a vertical jet of water has been examined by imposing audio frequency disturbances and the complete dispersion curve has been investigated by using flash photographs, which allow a direct measurement of the growth rate of the disturbances, and the effects of viscosity on the stability have been examined with glycerine-water solutions.
Journal ArticleDOI
Nonlinear breakup of a laminar liquid jet
TL;DR: In this paper, a perturbation analysis of the capillary instability of an inviscid liquid jet of circular cross section was carried out to third order, and the results showed that the nonlinear terms are responsible for the presence of satellite drops.
Journal ArticleDOI
Nonlinear Stability of a Liquid Jet
TL;DR: In this article, a nonlinear analysis is presented for the capillary stability of a cylindrical column of liquid, of circular cross section, and a second-order expansion is obtained using the method of multiple time scales.