Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-13T09:29:48.087Z Has data issue: false hasContentIssue false

Electrospray of a very viscous liquid in a dielectric liquid bath

Published online by Cambridge University Press:  01 February 2011

Francisco Higuera*
Affiliation:
fhiguera@aero.upm.es
Get access

Abstract

Numerical computations and order-of-magnitude estimates are used to analyze a jet of a very viscous liquid of finite electrical conductivity that is injected at a constant flow rate in an immiscible dielectric liquid under the action of an electric field. The conditions under which the injected liquid can form an elongated meniscus with a thin jet issuing from its apex (a cone-jet) are investigated by computing the flow, the electric field, and the transport of electric charge in the meniscus and a leading region of the jet. The boundaries of the domain of operation of the cone-jet mode are discussed. The current transfer region determining the electric current carried by the jet is analyzed taking into account the viscous drag of the dielectric liquid surrounding the jet. Conditions under which the electric current/flow rate characteristic follows a square root law or departs from it are discussed.

Type
Research Article
Copyright
Copyright © Materials Research Society 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Barrero, A., López-Herrera, J. M., Boucard, A., Loscertales, I. G. and Márquez, M., J. Colloid Interface Sci. 272, 104 ((2004)).Google Scholar
[2] Riboux, G., Marín, A. G., Loscertales, I. G. and Barrero, A., J. Fluid Mech. Submitted (2010). Also Procs. 1st European Conf. on Microuidics, Bologna, December 10-12 (2008).Google Scholar
[3] Zeleny, J., Proc. Camb. Phil. Soc. 18, 1 (1015).Google Scholar
[4] Taylor, G. I., Proc. R. Soc. Lond. A 280, 383 (1964).Google Scholar
[5] Smith, D. P. H., IEEE Trans. Ind. Appl. IA22, 527 (1986).Google Scholar
[6] Cloupeau, M. and Prunet-Foch, B., J. Electrost. 22, 135 (1989).Google Scholar
[7] Mora, J. Fernández de la and Loscertales, I. G., J. Fluid Mech. 260, 155 (1994).Google Scholar
[8] Mora, J. Fernández de la, Ann. Rev. Fluid Mech. 39, 217 (2007).Google Scholar
[9] Gundabala, V. R. and Fernández-Nieves, A., Phys. Rev. Lett. Submitted (2010).Google Scholar
[10] Alexander, M. S., Appl. Phys. Lett. 92, 144102 (2008).Google Scholar
[11] Higuera, F. J., J. Fluid Mech. 648, 35 (2010).Google Scholar
[12] Landau, L. D. and Lifshitz, E. M., Electrodynamics of Continuous Media (Pergamon, Oxford, 1960).Google Scholar
[13] Saville, D. A., Ann. Rev. Fluid Mech. 29, 27 (1997).Google Scholar
[14] Gañán-Calvo, A. M., Dávila, J. and Barrero, A., J. Aerosol Sci. 28, 249 (1997).Google Scholar
[15] Feng, J. J., Phys. Fluids 14, 3912 (2002).Google Scholar
[16] Hinch, E. J., Perturbation Methods (Cambridge University Press, Cambridge, 1991).Google Scholar