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...
| Authors: | ; ; ; |
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| Format: | Article |
| Status: | Accepted version |
| Publication date: | 2015 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/116263 |
| Online Access: | https://hdl.handle.net/11441/116263 https://doi.org/10.1016/j.ijmultiphaseflow.2014.12.005 |
| Access Level: | Open access |
| Keyword: | VoF Electrohydrodynamics Electrokinetics Charge conservation Two phase flows |
| _version_ | 1878735537517363200 |
|---|---|
| author | López-Herrera Sánchez, José María |
| author2 | Gañán-Calvo, Alfonso M. Popinet, S. Herrada Gutiérrez, Miguel Ángel |
| author2_role | author author author |
| author_browse | Gañán-Calvo, Alfonso M. Herrada Gutiérrez, Miguel Ángel López-Herrera Sánchez, José María Popinet, S. |
| author_facet | López-Herrera Sánchez, José María Gañán-Calvo, Alfonso M. Popinet, S. Herrada Gutiérrez, Miguel Ángel |
| author_role | author |
| collection | idUS. Depósito de Investigación de la Universidad de Sevilla |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_7eb0cd40cc8cc2f8d1aee0c8e81b0a0a |
| institution | Universidad de Sevilla (US) |
| instname_str | Universidad de Sevilla (US) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:idus.us.es:11441/116263 |
| publishDate | 2015 |
| publishDateSort | 2015 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| reponame_str | idUS. Depósito de Investigación de la Universidad de Sevilla |
| spelling | Electrokinetic effects in the breakup of electrified jets: A Volume-Of-Fluid numerical study López-Herrera Sánchez, José María Gañán-Calvo, Alfonso M. Popinet, S. Herrada Gutiérrez, Miguel Ángel VoF Electrohydrodynamics Electrokinetics Charge conservation Two phase flows 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. Ministerio de Ciencia y Educación (España) DPI2010-21103 Junta de Andalucía P08-TEP-04128 Elsevier https://hdl.handle.net/11441/116263 https://doi.org/10.1016/j.ijmultiphaseflow.2014.12.005 |
| 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 |
| status_str | acceptedVersion |
| title | 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_short | 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 |
| topic | VoF Electrohydrodynamics Electrokinetics Charge conservation Two phase flows |
| topic_facet | VoF Electrohydrodynamics Electrokinetics Charge conservation Two phase flows |
| url | https://hdl.handle.net/11441/116263 https://doi.org/10.1016/j.ijmultiphaseflow.2014.12.005 |