On stabilization of capillary instability of dielectric liquid jet by volume electric charge

2009 ◽  
Vol 45 (5) ◽  
pp. 357-363 ◽  
Author(s):  
S. O. Shiryaeva ◽  
A. I. Grigor’ev
Keyword(s):  
Electric Charge ◽  
Dielectric Liquid ◽  
Liquid Jet ◽  
Capillary Instability

scholarly journals Formation of single charged drops from a dielectric liquid jet in a nonuniform electric field.

1990 ◽  
Vol 16 (4) ◽  
pp. 700-705 ◽  
Author(s):  
Takashi Hibiki ◽  
Manabu Yamaguchi ◽  
Takashi Katayama
Keyword(s):  
Electric Field ◽  
Nonuniform Electric Field ◽  
Dielectric Liquid ◽  
Liquid Jet

The nonlinear capillary instability of a liquid jet. Part 1. Theory

1980 ◽  
Vol 96 (2) ◽  
pp. 257-274 ◽  
Author(s):  
K. C. Chaudhary ◽  
L. G. Redekopp
Keyword(s):  
Surface Waves ◽  
Initial Velocity ◽  
Harmonic Component ◽  
Oscillatory Solution ◽  
Liquid Column ◽  
Liquid Jet ◽  
Galilean Transformation ◽  
Third Order ◽  
Capillary Instability ◽  
Satellite Drops

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; no satellites exist 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.

Nonlinear corrections to the frequencies of nonaxisymmetric Modes of a space-charged dielectric liquid jet

2008 ◽  
Vol 53 (6) ◽  
pp. 673-687
Author(s):  
N. V. Voronina ◽  
S. O. Shiryaeva ◽  
A. I. Grigor’ev
Keyword(s):  
Dielectric Liquid ◽  
Liquid Jet

The Breakup Length of Turbulent Liquid Jets

1977 ◽  
Vol 99 (2) ◽  
pp. 414-415 ◽  
Author(s):  
P. Lafrance
Keyword(s):  
Experimental Data ◽  
Statistical Distribution ◽  
Liquid Jets ◽  
Liquid Jet ◽  
Capillary Instability ◽  
Turbulent Fluctuations ◽  
Breakup Length ◽  
Comparison With Experimental Data

A formula for the statistical distribution of the breakup length of a turbulent liquid jet is derived. The formula is based on a model in which random turbulent fluctuations are amplified by capillary instability. A comparison with experimental data is made.

Non-linear capillary instability of a liquid jet

1968 ◽  
Vol 33 (1) ◽  
pp. 151-163 ◽  
Author(s):  
Man-Chuen Yuen
Keyword(s):  
Growth Rate ◽  
Maximum Growth ◽  
Wave Number ◽  
Liquid Jet ◽  
Initial Amplitude ◽  
Dimensionless Wave Number ◽  
Capillary Instability ◽  
Linear Effect ◽  
Non Linear ◽  
Linearized Theory

A third-order theory has been developed to study capillary instability of a liquid jet. The result shows that the asymmetrical development of an initially sinusoidal wave is a non-linear effect with generation of higher harmonics as well as feedback into the fundamental. The growth of the surface wave is found to depend explicitly on the dimensionless initial amplitude of the disturbance and the dimensionless wave-number k of the wave. For the same initial disturbance, the wave is found to have a maximum growth rate at k = 0·7 in agreement with the linearized theory. For the same wave-number, the growth is proportional to the initial amplitude of the disturbance. The cut-off wave-number and the fundamental frequency (or growth rate for the unstable case) of the wave for a given k are found to be different from the linearized theory. Furthermore, at the cut-off wave-number, the present theory shows the disturbance experiences a growth which is proportional to t2. The excellent agreement between Donnelly & Glaberson's experiment and Rayleigh's linearized theory is found to be due to their method of measurement.

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