dorsal/arxiv
View SchemaEquilibrium Configurations of the Charged Surface of a Conducting Liquid at a Finite Interelectrode Distance
| Authors | N. M. Zubarev, O. V. Zubareva |
|---|---|
| Categories | |
| ArXiv ID | physics/0412052 |
| URL | https://arxiv.org/abs/physics/0412052 |
| DOI | 10.1134/1.1829338 |
| Journal | Technical Physics Letters, Volume 30, Issue 11, pp. 905-907 (2004) |
Abstract
The problem of determining equilibrium configurations of the free surface of a conducting liquid is considered with allowance for a finite interelectrode distance. The analogy is established between this electrostatic problem and that of finding the profile of a progressive capillary wave on the free surface of a liquid layer of a finite depth, which was solved by Kinnersley. This analogy allowed exact solutions to be obtained for the geometry of liquid electrodes, which expand the existing notions about the possible stationary states of the system.
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"abstract": "The problem of determining equilibrium configurations of the free surface of\na conducting liquid is considered with allowance for a finite interelectrode\ndistance. The analogy is established between this electrostatic problem and\nthat of finding the profile of a progressive capillary wave on the free surface\nof a liquid layer of a finite depth, which was solved by Kinnersley. This\nanalogy allowed exact solutions to be obtained for the geometry of liquid\nelectrodes, which expand the existing notions about the possible stationary\nstates of the system.",
"arxiv_id": "physics/0412052",
"authors": [
"N. M. Zubarev",
"O. V. Zubareva"
],
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"physics.flu-dyn",
"nlin.SI",
"physics.gen-ph"
],
"doi": "10.1134/1.1829338",
"journal_ref": "Technical Physics Letters, Volume 30, Issue 11, pp. 905-907 (2004)",
"title": "Equilibrium Configurations of the Charged Surface of a Conducting Liquid at a Finite Interelectrode Distance",
"url": "https://arxiv.org/abs/physics/0412052"
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