Linear dynamics modelling of droplet deformation in a pulsatile electric field

Vincenzino Vivacqua, Mojtaba Ghadiri, Aboubakr M. Abdullah, Ali Hassanpour, Jaber Al Marri, Barry Azzopardi, Buddhika Hewakandamby, Bijan Kermani

Research output: Contribution to journalArticle

9 Citations (Scopus)


A linear dynamic model of water droplet deformation in the presence of an electric field has been developed. Analytical solutions of the differential equation of motion are provided with different waveforms as forcing terms, namely in the case of half-sinusoidal, square and sawtooth waves. The main dimensionless groups are identified as a result of this analysis. The predictions of the model are compared with some data of droplet deformation available in the literature. The calculations based on this model show that the waveform affects the response of the droplet to the electric field stimulus. Resonance is possible only when the droplets are sufficiently large (i.e. for Ohnesorge number less than 1). The oscillation amplitude decreases rapidly with the electric field frequency. A qualitative comparison with some experiments of droplet-interface coalescence available in the literature has also been addressed, suggesting a correlation between the formation of secondary droplets and the amplitude of oscillation of the mother droplet. The outcomes of this analysis can be useful for the selection of the best operating conditions to improve the electrocoalescence process efficiency, as they can provide guidelines to the choice of the most suitable electric field parameters.

Original languageEnglish
Pages (from-to)162-170
Number of pages9
JournalChemical Engineering Research and Design
Publication statusPublished - 1 Oct 2016
Externally publishedYes


  • Electrocoalescence
  • Modelling
  • Partial coalescence
  • Phase separation
  • Water-in-oil emulsions

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)

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  • Cite this

    Vivacqua, V., Ghadiri, M., Abdullah, A. M., Hassanpour, A., Al Marri, J., Azzopardi, B., Hewakandamby, B., & Kermani, B. (2016). Linear dynamics modelling of droplet deformation in a pulsatile electric field. Chemical Engineering Research and Design, 114, 162-170.