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Exact solutions for the shape of a 2D conducting drop moving through a dielectric medium at an angle to the external electric field

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Abstract

Possible equilibrium configurations of the surface of a drop of a conducting liquid, moving relative to a dielectric medium at a certain angle to the external electric field, are considered in the 2D formulation. A two-parametric family of exact particular solutions to this problem is obtained using the conformal mapping method. These solutions are characterized by a considerable strain of the 2D drop surface (the highest possible ratio of its longitudinal and transverse sizes is 11/2).

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Authors and Affiliations

  1. Institute of Electrophysics, Ural Branch, Russian Academy of Sciences, ul. Amundsena 106, Yekaterinburg, 620016, Russia

    N. M. Zubarev & O. V. Zubareva

Authors
  1. N. M. Zubarev
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  2. O. V. Zubareva
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Correspondence to N. M. Zubarev.

Additional information

Original Russian Text © N.M. Zubarev, O.V. Zubareva, 2016, published in Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 61, No. 1, pp. 140–143.

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Zubarev, N.M., Zubareva, O.V. Exact solutions for the shape of a 2D conducting drop moving through a dielectric medium at an angle to the external electric field. Tech. Phys. 61, 138–141 (2016). https://doi.org/10.1134/S1063784216010266

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  • DOI: https://doi.org/10.1134/S1063784216010266

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