Abstract
The nonlinear equation describing nonstationary waves on the surface of a freely flowing vertical liquid film has been investigated by a perturbation theory method.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
P. L. Kapitza and S. P. Kapitza, “Wave flow of thin layers of viscous liquids,” Zh. Eksp. Teor. Fiz.,19, 105–120 (1949).
V. E. Nakoryakov, B. G. Pokusaev, E. N. Troyan, and S. V. Alekseenko, “Flow of thin liquid films,” in: Wave Processes in Two-Phase Systems [in Russian], Inst. Theor. Fiz. Sib. Branch, USSR Acad. Sci., Novosibirsk (1975), pp. 129–206.
B. G. Pokusaev and S. V. Alekseenko, “Two-dimensional waves on a vertical liquid film,” in: Nonlinear Wave Processes in Two-Phase Media [in Russian], Inst. Theor. Fiz. Sib. Branch, USSR Acad. Sci., Novosibirsk (1977), pp. 158–172.
S. V. Alekseenko, V. E. Nakoryakov, and B. G. Pokusaev, “Wave formation during flow of a liquid film on a vertical wall,” Zh. Prikl. Mekh. Tekh. Fiz., No. 6, 77–87 (1979).
V. E. Nakoryakov and I. R. Shreiber, “Waves on the surface of a thin layer of a viscous liquid,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 109–113 (1973).
P. L. Kapitza, “Wave flow of thin layers of a viscous liquid,” Zh. Eksp. Teor. Fiz.,18, No. 1, 3–18 (1948).
V. Ya. Shkadov, “Wave flow regimes of a thin layer of a viscous liquid under the action of gravity,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 43–51 (1967).
Yu. A. Buevich and S. V. Kudymov, “Weakly nonlinear stationary waves in a thin liquid film,” Inzh.-Fiz. Zh.,45, No. 4, 566–576 (1983).
S. S. Kutateladze and M. A. Styrikovich, Hydrodynamics of Gas-Liquid Systems [in Russian], Énergiya, Moscow (1976).
N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations, Hindustan Publ. Co. (1961).
V. I. Karpman and E. M. Maslov, “Perturbation theory for solitons,” Zh. Eksp. Teor. Fiz.,73, No. 2, 537–559 (1977).
J. P. Keener and D. W. McLaughlin, “Solitons under perturbation,” Phys. Rev.,16A, No. 2, 777–790 (1976).
D. W. McLaughlin and A. Scott, “Many-soliton perturbation theory,” in: Solitons in Action [Russian translation], Mir, Moscow (1981).
A. S. Davydov and A. A. Eremenko, “Soliton damping in molecular chains,” Teor. Mat. Fiz.,43, No. 3, 367–377 (1980).
A. S. Davydov, “The role of solitons in energy and electron transport in one-dimensional molecular systems,” Fiz. Mol., No. 10, 3–15 (1975).
A. S. Davydov, “Solitons in quasi-one-dimensional molecular structures,” Usp. Fiz. Nauk,138, No. 4, 603–643 (1982).
V. I. Karpman, Nonlinear Waves in Dispersive Media, Pergamon Press (1977).
G. B. Whitham, Linear and Nonlinear Waves, Wiley (1974).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 3, pp. 375–381, March, 1985.
Rights and permissions
About this article
Cite this article
Krasny, Y.P., Mikho, V.V. Nonlinear waves on the surface of a freely flowing vertical liquid film. Journal of Engineering Physics 48, 265–270 (1985). https://doi.org/10.1007/BF00878188
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00878188