Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study

The breakup of a charged liquid column is studied numerically using Volume-OF-Fluid (VOF) for a range of timescales where electrokinetic phenomena may become significant, i.e when the time to breakup becomes comparable or shorter than the diffusion and the electroosmotic migration times of charged s...

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Autores: López-Herrera Sánchez, José María, Gañán-Calvo, Alfonso M., Popinet, S., Herrada Gutiérrez, Miguel Ángel
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/116263
Acceso en línea:https://hdl.handle.net/11441/116263
https://doi.org/10.1016/j.ijmultiphaseflow.2014.12.005
Access Level:acceso abierto
Palabra clave:VoF
Electrohydrodynamics
Electrokinetics
Charge conservation
Two phase flows
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spelling Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical studyLópez-Herrera Sánchez, José MaríaGañán-Calvo, Alfonso M.Popinet, S.Herrada Gutiérrez, Miguel ÁngelVoFElectrohydrodynamicsElectrokineticsCharge conservationTwo phase flowsThe breakup of a charged liquid column is studied numerically using Volume-OF-Fluid (VOF) for a range of timescales where electrokinetic phenomena may become significant, i.e when the time to breakup becomes comparable or shorter than the diffusion and the electroosmotic migration times of charged species. Here we propose a conservative method to deal with the diffusion of a tracer in VOF schemes when the diffusion is limited to one of the phases. The method consists in weighing the diffusivity with the value of the volume fraction computed from the analytically reconstructed interface. In this way, the interface is made impermeable to the tracer, which is conservatively kept within one of the phases. The performance of this method is first tested by comparing simple configurations with existing analytical solutions. In the cases when the diffusion, electroosmotic motion and hydrodynamic singularities com pete, the results indicate that, after breakup, charges distribute between droplets differently from models assuming homogeneous and constant electrical conductivities (i.e. no electrokinetic effects). However, such departure does not alter the main hydrodynamic balances leading to well-established scaling laws of breakup.Ministerio de Ciencia y Educación (España) DPI2010-21103Junta de Andalucía P08-TEP-04128ElsevierIngeniería Aeroespacial y Mecánica de Fluidos2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/116263https://doi.org/10.1016/j.ijmultiphaseflow.2014.12.005reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésInternational Journal of Multiphase Flow, 71, 14-22.DPI2010-21103P08-TEP-04128https://www.sciencedirect.com/science/article/pii/S0301932214002481?via%3Dihubinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1162632026-06-17T12:51:07Z
dc.title.none.fl_str_mv Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study
title Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study
spellingShingle Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study
López-Herrera Sánchez, José María
VoF
Electrohydrodynamics
Electrokinetics
Charge conservation
Two phase flows
title_short Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study
title_full Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study
title_fullStr Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study
title_full_unstemmed Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study
title_sort Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study
dc.creator.none.fl_str_mv López-Herrera Sánchez, José María
Gañán-Calvo, Alfonso M.
Popinet, S.
Herrada Gutiérrez, Miguel Ángel
author López-Herrera Sánchez, José María
author_facet López-Herrera Sánchez, José María
Gañán-Calvo, Alfonso M.
Popinet, S.
Herrada Gutiérrez, Miguel Ángel
author_role author
author2 Gañán-Calvo, Alfonso M.
Popinet, S.
Herrada Gutiérrez, Miguel Ángel
author2_role author
author
author
dc.contributor.none.fl_str_mv Ingeniería Aeroespacial y Mecánica de Fluidos
dc.subject.none.fl_str_mv VoF
Electrohydrodynamics
Electrokinetics
Charge conservation
Two phase flows
topic VoF
Electrohydrodynamics
Electrokinetics
Charge conservation
Two phase flows
description The breakup of a charged liquid column is studied numerically using Volume-OF-Fluid (VOF) for a range of timescales where electrokinetic phenomena may become significant, i.e when the time to breakup becomes comparable or shorter than the diffusion and the electroosmotic migration times of charged species. Here we propose a conservative method to deal with the diffusion of a tracer in VOF schemes when the diffusion is limited to one of the phases. The method consists in weighing the diffusivity with the value of the volume fraction computed from the analytically reconstructed interface. In this way, the interface is made impermeable to the tracer, which is conservatively kept within one of the phases. The performance of this method is first tested by comparing simple configurations with existing analytical solutions. In the cases when the diffusion, electroosmotic motion and hydrodynamic singularities com pete, the results indicate that, after breakup, charges distribute between droplets differently from models assuming homogeneous and constant electrical conductivities (i.e. no electrokinetic effects). However, such departure does not alter the main hydrodynamic balances leading to well-established scaling laws of breakup.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/116263
https://doi.org/10.1016/j.ijmultiphaseflow.2014.12.005
url https://hdl.handle.net/11441/116263
https://doi.org/10.1016/j.ijmultiphaseflow.2014.12.005
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv International Journal of Multiphase Flow, 71, 14-22.
DPI2010-21103
P08-TEP-04128
https://www.sciencedirect.com/science/article/pii/S0301932214002481?via%3Dihub
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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