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Electrokinetic instability of liquid micro- and nanofilms with a mobile charge
- The instability of ultra-thin films of an electrolyte bordering a dielectric gas in an external tangential electric field is scrutinized. The solid wall is assumed to be either a conducting or charged dielectric surface. The problem has a steady one-dimensional solution. The theoretical results for a plug-like velocity profile are successfully compared with available experimental data. The linearThe instability of ultra-thin films of an electrolyte bordering a dielectric gas in an external tangential electric field is scrutinized. The solid wall is assumed to be either a conducting or charged dielectric surface. The problem has a steady one-dimensional solution. The theoretical results for a plug-like velocity profile are successfully compared with available experimental data. The linear stability of the steady-state flow is investigated analytically and numerically. Asymptotic long-wave expansion has a triple-zero singularity for a dielectric wall and a quadruple-zero singularity for a conducting wall, and four (for a conducting wall) or three (for a charged dielectric wall) different eigenfunctions. For infinitely small wave numbers, these eigenfunctions have a clear physical meaning: perturbations of the film thickness, of the surface charge, of the bulk conductivity, and of the bulk charge. The numerical analysis provides an important result: the appearance of a strong short-wave instability. At increasing Debye numbers, the short-wave instability region becomes isolated and eventually disappears. For infinitely large Weber numbers, the long-wave instability disappears, while the short-wave instability persists. The linear stability analysis is complemented by a nonlinear direct numerical simulation. The perturbations evolve into coherent structures; for a relatively small external electric field, these are large-amplitude surface solitary pulses, while for a sufficiently strong electric field, these are short-wave inner coherent structures, which do not disturb the surface.…
Document Type: | Article (reviewed) |
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Zitierlink: | https://opus.hs-offenburg.de/3597 | Bibliografische Angaben |
Title (English): | Electrokinetic instability of liquid micro- and nanofilms with a mobile charge |
Author: | Georgy S. Ganchenko, Manik MayurORCiD, Evgeny A. Demekhin, Sakir Amiroudine |
Year of Publication: | 2015 |
Creating Corporation: | American Institute of Physics |
Page Number: | 41 |
First Page: | 062002 |
Parent Title (English): | Physics of Fluids |
Volume: | 27 |
Issue: | 6 |
ISSN: | 0899-8213 |
DOI: | https://doi.org/10.1063/1.4921779 |
URL: | https://www.researchgate.net/publication/279155215_Electrokinetic_instability_of_liquid_micro-_and_nanofilms_with_a_mobile_charge |
Language: | English | Inhaltliche Informationen |
Institutes: | Fakultät Elektrotechnik und Informationstechnik (E+I) (bis 03/2019) |
Institutes: | Bibliografie |
GND Keyword: | Elektrokinetische Erscheinung; Instabilität; Mikrofilm; Mobilität | Formale Angaben |
Open Access: | Closed Access |
Licence (German): | Urheberrechtlich geschützt |