Influence of charge relaxation on the capillary disintegration of a jet of a viscous dielectric liquid placed in an electrostatic field collinear with the axis of the jet |
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Authors: | S O Shiryaeva |
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Institution: | 1.Demidov State University,Yaroslavl,Russia |
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Abstract: | A dispersion relation is derived for capillary waves with an arbitrary symmetry on the surface of a charged jet of a finite-conductivity
viscous liquid placed in an electric field collinear with the axis of the jet. Analytical calculations are carried out in
an approximation that is linear in dimensionless wave amplitude. In the case of axisymmetric waves, the instability of which
causes disintegration of the jet into drops, the finiteness of the potential equalization rate has a noticeable effect only
for jets of poorly conducting liquids. The charge relaxation shows up in that “purely relaxation” periodic and aperiodic liquid
flows arise. When the conductivity of the liquid declines, the instability growth rates for unstable waves increase and their
spectrum extends toward short waves. A charge present on the surface of the jet enhances its instability. An increase in the
charge surface diffusion coefficient variously influences the capillary and relaxation branches of the solution: the damping
ratio increases in the former case and decreases in the latter. As the diffusion coefficient rises, relaxation flows may become
unstable. |
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Keywords: | |
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