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Whipping instability characterization of an electrified visco-capillary jet

Published online by Cambridge University Press:  07 February 2011

GUILLAUME RIBOUX ,
ÁLVARO G. MARÍN ,
IGNACIO G. LOSCERTALES  and
ANTONIO BARRERO
GUILLAUME RIBOUX*
Affiliation:
Escuela Técnica Superior de Ingenieros, Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos, Universidad de Sevilla, Av. de los Descubrimientos s/n, 41092, Sevilla, Spain
ÁLVARO G. MARÍN
Affiliation:
Escuela Técnica Superior de Ingenieros, Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos, Universidad de Sevilla, Av. de los Descubrimientos s/n, 41092, Sevilla, Spain
IGNACIO G. LOSCERTALES
Affiliation:
Escuela Técnica Superior de Ingenieros Industriales, Universidad de Málaga, C/Pedro Ortiz Ramos, s/n 29071, Málaga, Spain
ANTONIO BARRERO
Affiliation:
Escuela Técnica Superior de Ingenieros, Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos, Universidad de Sevilla, Av. de los Descubrimientos s/n, 41092, Sevilla, Spain
*
†Email address for correspondence: [email protected].
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Abstract

The charged liquid micro-jet issued from a Taylor cone may develop a special type of non-axisymmetric instability, usually referred to in the literature as a whipping mode. This instability usually manifests itself as a series of fast and violent lashes of the charged jet, which makes its characterization in the laboratory difficult. Recently, we have found that this instability may also develop when the host medium surrounding the Taylor cone and the jet is a dielectric liquid instead of air. When the oscillations of the jet occur inside a dielectric liquid, their frequency and amplitude are much lower than those of the oscillations taking place in air. Taking advantage of this fact, we have performed a detailed experimental characterization of the whipping instability of a charged micro-jet within a dielectric liquid by recording the jet motion with a high-speed camera. Appropriate image processing yields the frequency and wavelength, among the other important characteristics, of the jet whipping as a function of the governing parameters of the experimental set-up (flow rate and applied electric field) and liquid properties. Alternatively, the results can be also written as a function of three dimensionless numbers: the capillary and electrical Bond numbers and the ratio between an electrical relaxation and residence time.

JFM classification

Wakes/Jets: Jets Micro-/Nano-fluid dynamics: Microfluidics Instability: Nonlinear instability
Type
Papers
Information
Journal of Fluid Mechanics , Volume 671 , 25 March 2011 , pp. 226 - 253
Copyright
Copyright © Cambridge University Press 2011

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