Electrohydrodynamic flow of a dielectric liquid due to autonomous injection of charge by a needle electrode
An analysis is presented of the creeping axisymmetric flow induced by Coulomb’s force in a dielectric liquid subject to autonomous unipolar injection of electric charge through a paraboloidal metallic electrode. A stationary flow and a I∝V 3 current-voltage characteristic are found when the constant...
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Published in | Physics of fluids (1994) Vol. 14; no. 1; pp. 423 - 426 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
01.01.2002
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Online Access | Get full text |
ISSN | 1070-6631 1089-7666 |
DOI | 10.1063/1.1426104 |
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Summary: | An analysis is presented of the creeping axisymmetric flow induced by Coulomb’s force in a dielectric liquid subject to autonomous unipolar injection of electric charge through a paraboloidal metallic electrode. A stationary flow and a
I∝V
3
current-voltage characteristic are found when the constant voltage applied between the injecting electrode and another, collecting electrode is well above the injection threshold but below a certain critical value. For larger voltages the flow and the electric current become time dependent, owing to the instability of a charged layer that surrounds the injecting electrode. Qualitative order of magnitude estimates are presented for both regimes. |
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ISSN: | 1070-6631 1089-7666 |
DOI: | 10.1063/1.1426104 |