Abstract
The stability of transient flow in a cylinder of an ideal incompressible fluid with a free boundary is studied. There are 20 different cases of the behavior of small disturbances as a function of the parameters of the problem. In particular, if surface tension is not taken into account a round jet is stable with respect to axially symmetrical disturbances, but the introduction of capillary forces leads to a strong instability.
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V. M. Kuznetsov and E. N. Sher, “Stability of flow of an ideal incompressible fluid in a strip and in a ring,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 2 (1964).
L. V. Ovsyannikov, “General equations and examples,” in: The Problem of Nonstationary Movement of a Fluid with a Free Boundary [in Russian], Nauka, Novosibirsk (1967).
V. V. Pukhnachev, “Small disturbances in plane nonstationary movement of an ideal incompressible fluid with a free boundary having the form of an ellipse,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 4 (1971).
V. Vazov, Asymptotic Expansions of Solutions of Simultaneous Differential Equations [in Russian], Mir, Moscow (1968).
G. Lamb, Hydrodynamics, Dover (1932).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 80–84, July–August, 1972.
In conclusion the author thanks V. V. Pukhnachev for formulation of the problem and valuable advice.
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Andreev, V.K. Stability of a nonstationary round jet of an ideal incompressible fluid. J Appl Mech Tech Phys 13, 499–503 (1972). https://doi.org/10.1007/BF00850392
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DOI: https://doi.org/10.1007/BF00850392