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 chara...

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Published in:Физика низких температур
Date:2004
Main Authors: Kolmakov, G.V., Lebedeva, E.V., Levchenko, A.A., Mezhov-Deglin, L.P., Trusov, A.B., Shikin, V.B.
Format: Article
Language:English
Published: 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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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
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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.
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.
collection DSpace DC
container_title Физика низких температур
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.
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publishDate 2004
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
record_format dspace
spelling 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
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 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_short 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
topic Низкотемпеpатуpный магнетизм
topic_facet Низкотемпеpатуpный магнетизм
url https://nasplib.isofts.kiev.ua/handle/123456789/119197
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