Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions
Instability of the flat surface of a thin liquid layer wetting a solid substrate under inverted gravitation conditions is discovered. The development of this instability leads to formation of a new stationary nonuniform liquid surface state. It looks like a solitary hill with characteristics sens...
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| Published in: | Физика низких температур |
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| Date: | 2004 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/119197 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions / G.V. Kolmakov, E.V. Lebedeva, A.A. Levchenko, L.P. Mezhov-Deglin, A.B. Trusov, V.B. Shikin // Физика низких температур. — 2004. — Т. 30, № 1. — С. 79-93. — Бібліогр.: 24 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Kolmakov, G.V. Lebedeva, E.V. Levchenko, A.A. Mezhov-Deglin, L.P. Trusov, A.B. Shikin, V.B. 2017-06-05T05:57:28Z 2017-06-05T05:57:28Z 2004 Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions / G.V. Kolmakov, E.V. Lebedeva, A.A. Levchenko, L.P. Mezhov-Deglin, A.B. Trusov, V.B. Shikin // Физика низких температур. — 2004. — Т. 30, № 1. — С. 79-93. — Бібліогр.: 24 назв. — англ. 0132-6414 PACS: 68.15.+e, 05.45.Yv, 67.70.+n https://nasplib.isofts.kiev.ua/handle/123456789/119197 Instability of the flat surface of a thin liquid layer wetting a solid substrate under inverted gravitation conditions is discovered. The development of this instability leads to formation of a new stationary nonuniform liquid surface state. It looks like a solitary hill with characteristics sensitive to the liquid film parameters, particularly to the layer thickness at which the instability begins to develop. By application of a variational approach the mechanical stability of such a hill (droplet) in the one-dimensional approximation is proved. A variational picture of the shape evolution for a cylindrical charged droplet in an external electric field is constructed, too. The results obtained are compared with an experiment on liquid hydrogen droplets [A.A. Levchenko, G.V. Kolmakov, L.P. Mezhov-Deglin, M.G. Mikhailov, and A.B. Trusov, Low Temp. Phys. 25, 242 (1999)]. The theory developed is in good agreement with the results of experiments. This work is supported in part by INTAS grant 2001-0618, RFBR grant 01-02-97037 and RFBR grant 03-02-16865-a. G.K. also thanks the Science Support Foundation (Russia) for support. We thank M. Strzhemechny and J. Klier for the helpful discussions and useful remarks. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Низкотемпеpатуpный магнетизм Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions |
| spellingShingle |
Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions Kolmakov, G.V. Lebedeva, E.V. Levchenko, A.A. Mezhov-Deglin, L.P. Trusov, A.B. Shikin, V.B. Низкотемпеpатуpный магнетизм |
| title_short |
Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions |
| title_full |
Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions |
| title_fullStr |
Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions |
| title_full_unstemmed |
Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions |
| title_sort |
stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions |
| author |
Kolmakov, G.V. Lebedeva, E.V. Levchenko, A.A. Mezhov-Deglin, L.P. Trusov, A.B. Shikin, V.B. |
| author_facet |
Kolmakov, G.V. Lebedeva, E.V. Levchenko, A.A. Mezhov-Deglin, L.P. Trusov, A.B. Shikin, V.B. |
| topic |
Низкотемпеpатуpный магнетизм |
| topic_facet |
Низкотемпеpатуpный магнетизм |
| publishDate |
2004 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
Instability of the flat surface of a thin liquid layer wetting a solid substrate under inverted
gravitation conditions is discovered. The development of this instability leads to formation of a
new stationary nonuniform liquid surface state. It looks like a solitary hill with characteristics
sensitive to the liquid film parameters, particularly to the layer thickness at which the instability
begins to develop. By application of a variational approach the mechanical stability of such a hill
(droplet) in the one-dimensional approximation is proved. A variational picture of the shape evolution
for a cylindrical charged droplet in an external electric field is constructed, too. The results
obtained are compared with an experiment on liquid hydrogen droplets [A.A. Levchenko, G.V.
Kolmakov, L.P. Mezhov-Deglin, M.G. Mikhailov, and A.B. Trusov, Low Temp. Phys. 25, 242
(1999)]. The theory developed is in good agreement with the results of experiments.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/119197 |
| citation_txt |
Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions / G.V. Kolmakov, E.V. Lebedeva, A.A. Levchenko, L.P. Mezhov-Deglin, A.B. Trusov, V.B. Shikin // Физика низких температур. — 2004. — Т. 30, № 1. — С. 79-93. — Бібліогр.: 24 назв. — англ. |
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| first_indexed |
2025-12-07T21:11:14Z |
| last_indexed |
2025-12-07T21:11:14Z |
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