Physics – Fluid Dynamics
Scientific paper
2005-03-29
PHYSICS OF FLUIDS 18 (2): Art. No. 028103 FEB 2006 (reduced version of the paper)
Physics
Fluid Dynamics
10 pages
Scientific paper
10.1063/1.2173282
The evolution of the interface between two ideal dielectric liquids in a strong vertical electric field is studied. It is found that a particular flow regime, for which the velocity potential and the electric field potential are linearly dependent functions, is possible if the ratio of the permittivities of liquids is inversely proportional to the ratio of their densities. The corresponding reduced equations for interface motion are derived. In the limit of small density ratio, these equations coincide with the well-known equations describing the Laplacian growth.
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