The spatial structure of jets from steady Taylor cone-jets

© The Author(s), 2025. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution,...

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Autor: Gañán-Calvo, Alfonso M.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/183619
Acesso em linha:https://hdl.handle.net/11441/183619
https://doi.org/10.1017/jfm.2025.10841
Access Level:acceso abierto
Palavra-chave:Electrohydrodynamic effects
Electrokinetic flows
Capillary flows
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spelling The spatial structure of jets from steady Taylor cone-jetsGañán-Calvo, Alfonso M.Electrohydrodynamic effectsElectrokinetic flowsCapillary flows© The Author(s), 2025. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided that no alterations are made and the original article is properly cited. The written permission of Cambridge University Press must be obtained prior to any commercial use and/or adaptation of the article.This work presents a comprehensive analysis of steady cone-jet electrospray (SCJ-ES) that captures the full range of its steady jet scales within the Taylor-cone electric field. We identify three fundamental regions, each governed by distinct scaling laws and dominant physical mechanisms: (i) the transition region, characterised by the balances that fix the emitted current; (ii) the charge convection-dominated region, where surface charge transport dominates total charge transport and the Taylor field drives jet acceleration; and (iii) the ballistic region, where the jet attains a fixed cylindrical scale before undergoing Rayleigh breakup into charged droplets. This refined theoretical framework harmonises existing models, particularly those using the Taylor–Melcher leaky dielectric model as an electrokinetic approximation for SCJ-ES. Notably, our newly proposed spatial scales achieve a remarkable collapse of published experimental SCJ-ES jet profiles. We also apply this framework to study the charge of resulting droplets using extensive literature data, observing significant differences between weak and strong electrolytes, consistent with recent findings.Cambridge University PressIngeniería Aeroespacial y Mecánica de FluidosMinisterio de Ciencia, Innovación y Universidades (MICIU). EspañaAgencia Estatal de Investigación. EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)European Union (UE)2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/183619https://doi.org/10.1017/jfm.2025.10841reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Fluid Mechanics, 1023, A49. PID2022–140951https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/spatial-structure-of-jets-from-steady-taylor-conejets/DF41EA7117DD711523906DE9E8AD8E8Ainfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/1836192026-06-17T12:51:07Z
dc.title.none.fl_str_mv The spatial structure of jets from steady Taylor cone-jets
title The spatial structure of jets from steady Taylor cone-jets
spellingShingle The spatial structure of jets from steady Taylor cone-jets
Gañán-Calvo, Alfonso M.
Electrohydrodynamic effects
Electrokinetic flows
Capillary flows
title_short The spatial structure of jets from steady Taylor cone-jets
title_full The spatial structure of jets from steady Taylor cone-jets
title_fullStr The spatial structure of jets from steady Taylor cone-jets
title_full_unstemmed The spatial structure of jets from steady Taylor cone-jets
title_sort The spatial structure of jets from steady Taylor cone-jets
dc.creator.none.fl_str_mv Gañán-Calvo, Alfonso M.
author Gañán-Calvo, Alfonso M.
author_facet Gañán-Calvo, Alfonso M.
author_role author
dc.contributor.none.fl_str_mv Ingeniería Aeroespacial y Mecánica de Fluidos
Ministerio de Ciencia, Innovación y Universidades (MICIU). España
Agencia Estatal de Investigación. España
European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
European Union (UE)
dc.subject.none.fl_str_mv Electrohydrodynamic effects
Electrokinetic flows
Capillary flows
topic Electrohydrodynamic effects
Electrokinetic flows
Capillary flows
description © The Author(s), 2025. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided that no alterations are made and the original article is properly cited. The written permission of Cambridge University Press must be obtained prior to any commercial use and/or adaptation of the article.
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/183619
https://doi.org/10.1017/jfm.2025.10841
url https://hdl.handle.net/11441/183619
https://doi.org/10.1017/jfm.2025.10841
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Fluid Mechanics, 1023, A49.
PID2022–140951
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/spatial-structure-of-jets-from-steady-taylor-conejets/DF41EA7117DD711523906DE9E8AD8E8A
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 Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
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
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