Spreading of charged micro-droplets
We consider the spreading of a charged microdroplet on a flat dielectric surface whose spreading is driven by surface tension and electrostatic repulsion. This leads to a third order nonlinear partial differential equation that gives the evolution of the height profile. Assuming the droplets are...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Texas State University
2013-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/202/abstr.html |
| _version_ | 1819262273065058304 |
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| author | Joseph Iaia |
| author_facet | Joseph Iaia |
| author_sort | Joseph Iaia |
| collection | DOAJ |
| description | We consider the spreading of a charged microdroplet on a flat dielectric
surface whose spreading is driven by surface tension and electrostatic repulsion.
This leads to a third order nonlinear partial differential equation that gives
the evolution of the height profile. Assuming the droplets are circular we
are able to prove existence of solutions with infinite contact angle and in
many cases we are able to prove nonexistence of solutions with finite contact
angle. |
| first_indexed | 2024-12-23T19:55:04Z |
| format | Article |
| id | doaj.art-12a175174ebd4f94942af1257311bc31 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-23T19:55:04Z |
| publishDate | 2013-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-12a175174ebd4f94942af1257311bc312022-12-21T17:33:16ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-09-012013202,122Spreading of charged micro-dropletsJoseph Iaia0 Univ. of North Texas, Denton, TX, USA We consider the spreading of a charged microdroplet on a flat dielectric surface whose spreading is driven by surface tension and electrostatic repulsion. This leads to a third order nonlinear partial differential equation that gives the evolution of the height profile. Assuming the droplets are circular we are able to prove existence of solutions with infinite contact angle and in many cases we are able to prove nonexistence of solutions with finite contact angle.http://ejde.math.txstate.edu/Volumes/2013/202/abstr.htmlSpreading fluidscircular symmetrycharged droplets |
| spellingShingle | Joseph Iaia Spreading of charged micro-droplets Electronic Journal of Differential Equations Spreading fluids circular symmetry charged droplets |
| title | Spreading of charged micro-droplets |
| title_full | Spreading of charged micro-droplets |
| title_fullStr | Spreading of charged micro-droplets |
| title_full_unstemmed | Spreading of charged micro-droplets |
| title_short | Spreading of charged micro-droplets |
| title_sort | spreading of charged micro droplets |
| topic | Spreading fluids circular symmetry charged droplets |
| url | http://ejde.math.txstate.edu/Volumes/2013/202/abstr.html |
| work_keys_str_mv | AT josephiaia spreadingofchargedmicrodroplets |