Abstract
Two-dimensional numerical simulation is performed on the instability of a liquid conducting surface with axial symmetry in a strong electric field. The method of splitting with respect to physical factors with transformation of the calculation region to the canonical form [1] is used to investigate the flow of liquid with a free surface. This approach enables one to study the time dependence of the basic physical quantities in the nonlinear mode when the emitting point is formed. It is demonstrated that this dependence exhibits a collapse behavior: a critical time t c exists, in the vicinity of which a physical quantity either diverges or goes to zero as ∼(t c -t)γ. The values of the critical exponent γ are found for the electric field, curvature radius, and the axial velocity at the point tip, and the correlation between them demonstrated.
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 26, No. 1, 2000, pp. 66–70.
Original Russian Text Copyright © 2000 by Suvorov.
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Suvorov, V.G. Numerical simulation of the dynamics of a liquid conducting surface in a strong electric field. Tech. Phys. Lett. 26, 33–34 (2000). https://doi.org/10.1134/1.1262731
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DOI: https://doi.org/10.1134/1.1262731