Stationary nonlinear waves at the surface of a thin liquid layer under inverted gravitation conditions
Ключові слова:PACS: 68.15. e, 05.45.Yv, 67.70. n
АнотаціяInstability 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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Kolmakov, G.; Lebedeva, E.; Levchenko, A.; Mezhov-Deglin, L.; Trusov, A.; Shikin, V. Stationary Nonlinear Waves at the Surface of a Thin Liquid Layer under Inverted Gravitation Conditions. Fiz. Nyzk. Temp. 2003, 30, 79-93.