Descripción
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In this article, we study by means of the boundary element method the effect that rotation at constant angular momentum L has on the evolution of a conducting and viscous drop when it holds an amount of charge Q on its surface or is immersed in an external electric field of magnitude E? acting in the direction of the rotation axis. This droplet is considered to be contained in another viscous and insulating fluid. Our numerical simulations and stability analysis show that the Rayleigh fissibility ratio ? at which charged drops become unstable decreases with angular momentum. For neutral drops subject to an electric field, the critical value of the field which destabilizes the drop increases with rotation. Concerning equilibrium shapes, approximate spheroids and ellipsoids are obtained and the transition values between these two families of solutions is described. When the drop becomes unstable, a two-lobed structure forms where a pinch-off occurs in finite time or dynamic Taylor cones (in the sense of [Betelú et al., Phys. Fluids. 18 (2006)]) develop, whose semiangle, for small L, remains the same as if there was no rotation in the system. | |
Internacional
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Si |
JCR del ISI
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Si |
Título de la revista
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The Quarterly Journal of Mechanics And Applied Mathematics |
ISSN
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0033-5614 |
Factor de impacto JCR
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1,271 |
Información de impacto
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Volumen
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66 |
DOI
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10.1093/qjmam/hbt015 |
Número de revista
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4 |
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489 |
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516 |
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