The spreading of charged micro-droplets
This article considers the analysis of the Betelu-Fontelos model of the spreading of a charged microdroplet on a flat dielectric surface whose spreading is driven by surface tension and electrostatic repulsion. This model assumes the droplets are circular and spread according to a power law....
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| Format: | Article |
| Language: | English |
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Texas State University
2015-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/18/abstr.html |
| _version_ | 1819180812525895680 |
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| author | Joseph Iaia |
| author_facet | Joseph Iaia |
| author_sort | Joseph Iaia |
| collection | DOAJ |
| description | This article considers the analysis of the Betelu-Fontelos model of
the spreading of a charged microdroplet on a flat dielectric surface whose
spreading is driven by surface tension and electrostatic repulsion.
This model assumes the droplets are circular and spread according to a power law.
This leads to a third-order nonlinear ordinary differential equation on
[0,1] that gives the evolution of the height profile. We examine existence
of solutions for this equation. |
| first_indexed | 2024-12-22T22:20:17Z |
| format | Article |
| id | doaj.art-4fea42a2248c4aff9753a8a32fd29ca3 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T22:20:17Z |
| publishDate | 2015-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-4fea42a2248c4aff9753a8a32fd29ca32022-12-21T18:10:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-01-01201518,120The spreading of charged micro-dropletsJoseph Iaia0 Univ. of North Texas, Denton, TX, USA This article considers the analysis of the Betelu-Fontelos model of the spreading of a charged microdroplet on a flat dielectric surface whose spreading is driven by surface tension and electrostatic repulsion. This model assumes the droplets are circular and spread according to a power law. This leads to a third-order nonlinear ordinary differential equation on [0,1] that gives the evolution of the height profile. We examine existence of solutions for this equation.http://ejde.math.txstate.edu/Volumes/2015/18/abstr.htmlSpreading fluidscircular symmetrycharged droplet |
| spellingShingle | Joseph Iaia The spreading of charged micro-droplets Electronic Journal of Differential Equations Spreading fluids circular symmetry charged droplet |
| title | The spreading of charged micro-droplets |
| title_full | The spreading of charged micro-droplets |
| title_fullStr | The spreading of charged micro-droplets |
| title_full_unstemmed | The spreading of charged micro-droplets |
| title_short | The spreading of charged micro-droplets |
| title_sort | spreading of charged micro droplets |
| topic | Spreading fluids circular symmetry charged droplet |
| url | http://ejde.math.txstate.edu/Volumes/2015/18/abstr.html |
| work_keys_str_mv | AT josephiaia thespreadingofchargedmicrodroplets AT josephiaia spreadingofchargedmicrodroplets |