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

8 Citations (Scopus)

Abstract

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
Volume114
DOIs
Publication statusPublished - 1 Oct 2016
Externally publishedYes

Fingerprint

Electric fields
Coalescence
Equations of motion
Dynamic models
Differential equations
Water
Experiments

Keywords

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

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)

Cite this

Vivacqua, V., Ghadiri, M., Abdullah, A. M., Hassanpour, A., Al Marri, J., Azzopardi, B., ... Kermani, B. (2016). Linear dynamics modelling of droplet deformation in a pulsatile electric field. Chemical Engineering Research and Design, 114, 162-170. https://doi.org/10.1016/j.cherd.2016.08.015

Linear dynamics modelling of droplet deformation in a pulsatile electric field. / Vivacqua, Vincenzino; Ghadiri, Mojtaba; Abdullah, Aboubakr M.; Hassanpour, Ali; Al Marri, Jaber; Azzopardi, Barry; Hewakandamby, Buddhika; Kermani, Bijan.

In: Chemical Engineering Research and Design, Vol. 114, 01.10.2016, p. 162-170.

Research output: Contribution to journalArticle

Vivacqua, V, Ghadiri, M, Abdullah, AM, 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, vol. 114, pp. 162-170. https://doi.org/10.1016/j.cherd.2016.08.015
Vivacqua, Vincenzino ; Ghadiri, Mojtaba ; Abdullah, Aboubakr M. ; Hassanpour, Ali ; Al Marri, Jaber ; Azzopardi, Barry ; Hewakandamby, Buddhika ; Kermani, Bijan. / Linear dynamics modelling of droplet deformation in a pulsatile electric field. In: Chemical Engineering Research and Design. 2016 ; Vol. 114. pp. 162-170.
@article{716b5b2a34a84ca3be52c9896daf1578,
title = "Linear dynamics modelling of droplet deformation in a pulsatile electric field",
abstract = "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.",
keywords = "Electrocoalescence, Modelling, Partial coalescence, Phase separation, Water-in-oil emulsions",
author = "Vincenzino Vivacqua and Mojtaba Ghadiri and Abdullah, {Aboubakr M.} and Ali Hassanpour and {Al Marri}, Jaber and Barry Azzopardi and Buddhika Hewakandamby and Bijan Kermani",
year = "2016",
month = "10",
day = "1",
doi = "10.1016/j.cherd.2016.08.015",
language = "English",
volume = "114",
pages = "162--170",
journal = "Chemical Engineering Research and Design",
issn = "0263-8762",
publisher = "Institution of Chemical Engineers",

}

TY - JOUR

T1 - Linear dynamics modelling of droplet deformation in a pulsatile electric field

AU - Vivacqua, Vincenzino

AU - Ghadiri, Mojtaba

AU - Abdullah, Aboubakr M.

AU - Hassanpour, Ali

AU - Al Marri, Jaber

AU - Azzopardi, Barry

AU - Hewakandamby, Buddhika

AU - Kermani, Bijan

PY - 2016/10/1

Y1 - 2016/10/1

N2 - 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.

AB - 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.

KW - Electrocoalescence

KW - Modelling

KW - Partial coalescence

KW - Phase separation

KW - Water-in-oil emulsions

UR - http://www.scopus.com/inward/record.url?scp=84989811445&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84989811445&partnerID=8YFLogxK

U2 - 10.1016/j.cherd.2016.08.015

DO - 10.1016/j.cherd.2016.08.015

M3 - Article

AN - SCOPUS:84989811445

VL - 114

SP - 162

EP - 170

JO - Chemical Engineering Research and Design

JF - Chemical Engineering Research and Design

SN - 0263-8762

ER -