Abstract
The problem of wave motions of an ideal liquid of variable composition in a cylindrical vessel is reduced to an infinite system of nonlinear differential equations. It is shown that in the case of axisymmetric oscillations the equations obtained refine the linear analog of the problem, even if the vessel filling depth is significantly greater than the amplitude of the liquid free surface oscillations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Yu. N. Kononov, "Pressure calculation within a cylindrical vessel for motion of a variable liquid column," Teor. Prikl. Mekh., No. 12, 93–99 (1981).
V. I. Perekhrest and Yu. N. Kononov, "On the forms and stability of gravitational waves during filling of cylindrical vessels," Prikl. Mekh.,11, No. 12, 95–101 (1975).
G. N. Mikishev and B. N. Rabinovich, Dynamics of a Solid Body with Cavities Partially Filled by Liquid [in Russian], Moscow (1978).
Additional information
Donetsk. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 20, pp. 104–107, 1989.
Rights and permissions
About this article
Cite this article
Kononov, Y.N., Ruzhitskii, B.A. Nonlinear oscillations of a variable composition liquid in a cylindrical vessel. J Math Sci 68, 715–717 (1994). https://doi.org/10.1007/BF01249413
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01249413