Droplet pairs electrical computations using a level set based algorithm
Droplet pairs interact when exposed to electric fields, being crucial parameters in this process the initial droplet separations and the electric field intensity. We present an algorithm for the evolution of perfectly conducting and non-viscous fluids using a level set technique. Topological changes...
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          | Published in | Journal of electrostatics Vol. 106; no. C; p. 103458 | 
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| Main Authors | , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
        Netherlands
          Elsevier B.V
    
        01.07.2020
     Elsevier  | 
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| Online Access | Get full text | 
| ISSN | 0304-3886 1873-5738 1873-5738  | 
| DOI | 10.1016/j.elstat.2020.103458 | 
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| Abstract | Droplet pairs interact when exposed to electric fields, being crucial parameters in this process the initial droplet separations and the electric field intensity. We present an algorithm for the evolution of perfectly conducting and non-viscous fluids using a level set technique. Topological changes of the free boundary are automatically included in the formulation and passing through singular times is computationally possible. Numerical results on electro-hydrodynamic droplet pairs reveal three different types of droplets evolution: droplets do not coalesce, droplets coalesce, and droplets recoil after contact failing to coalesce. A comparison of numerical results with laboratory experiments is also addressed.
•A robust mathematical model and algorithm for electro-hydrodynamic computations is presented.•The level set method techniques allows for computing through singular mathematical events such as drop breaking or merging.•The repulsion mode in the electric coalescence of droplet pairs observed in laboratory experiments is captured by this model. | 
    
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| AbstractList | Droplet pairs interact when exposed to electric fields, being crucial parameters in this process the initial droplet separations and the electric field intensity. We present an algorithm for the evolution of perfectly conducting and non-viscous fluids using a level set technique. Topological changes of the free boundary are automatically included in the formulation and passing through singular times is computationally possible. Numerical results on electro-hydrodynamic droplet pairs reveal three different types of droplets evolution: droplets do not coalesce, droplets coalesce, and droplets recoil after contact failing to coalesce. A comparison of numerical results with laboratory experiments is also addressed.
•A robust mathematical model and algorithm for electro-hydrodynamic computations is presented.•The level set method techniques allows for computing through singular mathematical events such as drop breaking or merging.•The repulsion mode in the electric coalescence of droplet pairs observed in laboratory experiments is captured by this model. | 
    
| ArticleNumber | 103458 | 
    
| Author | Garzon, M. Sethian, J.A.  | 
    
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| Cites_doi | 10.1063/1.4931592 10.1098/rspa.1964.0151 10.1002/fld.2633 10.1103/PhysRevLett.102.104502 10.1017/S0022112004003076 10.1021/jp0450540 10.1103/PhysRevE.83.046318 10.1103/PhysRevE.89.033011 10.1103/PhysRevE.97.033112 10.1038/nphys268 10.1016/j.jcp.2009.04.048 10.1016/j.jcp.2015.12.026 10.1038/nphys807 10.1103/PhysRevE.77.036319 10.1006/jcph.1998.6090 10.1103/PhysRevApplied.4.024005 10.4171/ifb/125 10.1023/A:1021316218340 10.1103/PhysRevLett.102.188304 10.1103/PhysRevLett.103.164502 10.1038/nature08294  | 
    
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| Keywords | Electrified drops Axi-symmetric potential flows Tip streaming Coalescence  | 
    
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| References | Taylor (bib1) 1964; 280 Mhatre, Deshmukh, Thaokar (bib9) 2015; 27 Blanchette, Bigioni (bib12) 2006; 2 Garzon, Gray, Sethian (bib19) 2018; 97 Garzon, Gray, Sethian (bib18) 2014; 89 Garzon, Gray, Sethian (bib15) 2009; 228 Johansson, Garzon, Sethian (bib20) 2016; 309 Garzon, Gray, Sethian (bib17) 2012; 69 Zhang, Li, Thoroddsen (bib6) 2009; 102 Ristenpart (bib7) 2009; 461 Grimm, Beauchamp (bib2) 2005; 109 Shkadov, Shutov (bib3) 2002; 37 Garzon, Gray, Sethian (bib16) 2011; 83 Adalsteinsson, Sethian (bib22) 1999; 148 Thiam, Bremond, Bibette (bib11) 2009; 102 Giglio (bib4) 2008; 77 Garzon, Adalsteinsson, Gray, Sethian (bib14) 2005; 7 Sethian (bib21) 1999 Thoroddsen, Takehara, Etoh (bib5) 2005; 527 Chen, Song, Li, Hu (bib10) 2015; 4 Collins, Jones, Harris, Basaran (bib13) 2008; 4 Bird, Ristenpart, Belmonte, Stone (bib8) 2009; 103 Sethian (10.1016/j.elstat.2020.103458_bib21) 1999 Grimm (10.1016/j.elstat.2020.103458_bib2) 2005; 109 Blanchette (10.1016/j.elstat.2020.103458_bib12) 2006; 2 Garzon (10.1016/j.elstat.2020.103458_bib14) 2005; 7 Garzon (10.1016/j.elstat.2020.103458_bib17) 2012; 69 Giglio (10.1016/j.elstat.2020.103458_bib4) 2008; 77 Chen (10.1016/j.elstat.2020.103458_bib10) 2015; 4 Collins (10.1016/j.elstat.2020.103458_bib13) 2008; 4 Thiam (10.1016/j.elstat.2020.103458_bib11) 2009; 102 Shkadov (10.1016/j.elstat.2020.103458_bib3) 2002; 37 Garzon (10.1016/j.elstat.2020.103458_bib16) 2011; 83 Garzon (10.1016/j.elstat.2020.103458_bib19) 2018; 97 Garzon (10.1016/j.elstat.2020.103458_bib18) 2014; 89 Zhang (10.1016/j.elstat.2020.103458_bib6) 2009; 102 Bird (10.1016/j.elstat.2020.103458_bib8) 2009; 103 Mhatre (10.1016/j.elstat.2020.103458_bib9) 2015; 27 Ristenpart (10.1016/j.elstat.2020.103458_bib7) 2009; 461 Taylor (10.1016/j.elstat.2020.103458_bib1) 1964; 280 Garzon (10.1016/j.elstat.2020.103458_bib15) 2009; 228 Johansson (10.1016/j.elstat.2020.103458_bib20) 2016; 309 Thoroddsen (10.1016/j.elstat.2020.103458_bib5) 2005; 527 Adalsteinsson (10.1016/j.elstat.2020.103458_bib22) 1999; 148  | 
    
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| SubjectTerms | Axi-symmetric potential flows Coalescence Electrified drops Tip streaming  | 
    
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| Title | Droplet pairs electrical computations using a level set based algorithm | 
    
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