Abstract—
The higher-order azimuthal modes of a charged jet of ideal incompressible conducting liquid that moves relative to the surrounding dielectric medium are first investigated. It is shown that there are thresholds of the surface electric charge density above which electrostatic instability of the parent jet surface is implemented. The instability manifests itself in ejection of daughter jets, which are thinner by approximately two orders of magnitude and thereafter disintegrate into droplets. As the mode number increases and the jet velocity relative to the medium decreases, the threshold heights increase. A similar phenomenon is recorded in reference to the velocity of the relative motion of jet and medium. In this case the instability is called aerodynamic but it is implemented at fairly high speeds.
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The laws of implementation of the mixed electrostatic-aerodynamic instability of three higher-order azimuthal modes (starting from the third mode) of a liquid jet are investigated analytically. In the situations considered, the behavior of the critical dependences as functions of the wavenumber is qualitatively similar and the difference is only quantitative. In all the cases, the instability of the higher-order azimuthal modes has the threshold nature with respect to both the external electrostatic field strength and the velocity of relative motion of the jet in the material medium.
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Translated by E.A. Pushkar
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Grigor’ev, A.I., Shiryaeva, S.O. Electrostatic Instability of the Higher-Order Azimuthal Modes of a Charged Jet. Fluid Dyn 56, 353–360 (2021). https://doi.org/10.1134/S0015462821030058
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DOI: https://doi.org/10.1134/S0015462821030058