Breakup of a supported drop of a viscous, conducting liquid in a uniform field

Higuera Antón, Francisco (2008). Breakup of a supported drop of a viscous, conducting liquid in a uniform field. "Physical Review E", v. 78 (n. 1); pp. 1-11. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.78.016314.

Description

Title: Breakup of a supported drop of a viscous, conducting liquid in a uniform field
Author/s:
  • Higuera Antón, Francisco
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: July 2008
ISSN: 1539-3755
Volume: 78
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Numerical computations and order-of-magnitude estimates are used to describe the time evolution of a drop of a very viscous liquid of finite electrical conductivity attached to a metallic plate which is suddenly subject to a uniform electric field. Under the action of the electric stresses induced at its surface, the drop elongates in the direction of the field, and charged droplets are emitted when the strength of the field is higher than a certain critical value. A stationary emission mode exists in which the attached drop develops a conical tip and a thin jet, with small droplets emitted from the end of the jet in a process that involves the formation of a long ligament. The flow rate and the electric current carried by the stream of droplets emitted in this mode are determined by the flow and the transfer of charge in the attached drop, in particular in a small region around its tip and in a leading stretch of the jet, where the solution is nearly stationary despite the transient character of the jet further downstream. A simplified analysis of the stationary regions is carried out to elucidate the effects of the physical properties of the liquid _electrical conductivity, permittivity, viscosity, and surface tension_, the volume of the drop, and the strength of the applied field. For high electrical conductivities and applied fields well above its critical value, the electrical and viscous stresses are large compared to surface tension stresses, and their balance gives a flow rate proportional to the square of the applied field. The electric current is then that of a stationary electrified jet fed with this flow rate.

More information

Item ID: 2174
DC Identifier: http://oa.upm.es/2174/
OAI Identifier: oai:oa.upm.es:2174
DOI: 10.1103/PhysRevE.78.016314
Official URL: http://pre.aps.org/toc/PRE/v78/i1
Deposited by: Memoria Investigacion
Deposited on: 10 Feb 2010 10:12
Last Modified: 20 Apr 2016 11:56
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