Abstract
Oscillations of a stratified fluid with a continuous distribution of the density that completely or partly fills a fixed vessel are investigated. Small oscillations of a stratified fluid with discrete distribution of the density have been investigated by Kopachevskii [1, 2]. Individual examples of the analysis of oscillations of a fluid consisting of layers of different densities have been given by Gontkevich and Ganichev et al. [3, 4].
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N. D. Kopachevskii, “Oscillations of immiscible fluids,” Zh. Vychisl. Mat. Mat. Fiz.,13, 1249 (1973).
N. D. Kopachevskii, “Small motions and normal oscillations of a system of heavy viscous rotating fluids,” Fiz.-Tekh. Inst. Inzk. Temperatur Akad. Nauk USSR. Prepr., No. 33, 60 (1978).
V. S. Gontkevich, “Characteristic oscillations of a stratified fluid in a vessel,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 147 (1973).
A. I. Ganichev, V. P. Kachura, and A. N. Temnov, “Small oscillations of two immiscible fluids in a moving cylindrical vessel,” in: Oscillations of Elastic Constructions with Fluids [in Russian], Novosibirsk (1974), pp. 82–87.
W. Krauss, Internal Waves [Russian translation], Gidrometeoizdat, Leningrad (1968), p. 272.
V. M. Kamenkovich, Fundamentals of Ocean Dynamics [in Russian], Gidrometeoizdat, Leningrad (1973), p. 240.
V. A. Gorodtsov and É. V. Teodorovich, “Linear internal waves in an exponentially stratified ideal incompressible fluid,” Preprint No. 114 [in Russian], Institute of the Problems of Mechanics, USSR Academy of Sciences, Moscow (1978).
A. Yu. Ishlinskii and M. E. Temchenko, “Small oscillations of the vertical axis of a top containing a cavity completely filled with an ideal incompressible fluid,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 65 (1960).
E. Janke, F. Ende, and F. Lösch, Tables of Higher Functions, McGraw-Hill, New York (1960).
B. Pal, “On the motion of an ellipsoid of revolution in a viscous fluid in the light of Prof. Oseen's objection to Stokes treatment of the case of the sphere,” Bull. Calcutta Math. Soc.,10, 81 (1918–1919).
N. N. Moiseev, “Oscillations of a heavy ideal incompressible fluid in a vessel,” Dokl. Akad. Nauk SSSR,85, 963 (1952).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 98–106, November–December, 1983.
I thank N. D. Kopachevskii and A. I. Ganichev for interest in the work and valuable comments.
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Temnov, A.N. Oscillations of an ideal stratified fluid in a fixed vessel. Fluid Dyn 18, 915–923 (1983). https://doi.org/10.1007/BF01090748
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DOI: https://doi.org/10.1007/BF01090748