Water surface waves in a horizontally oscillating container

This paper presents the results of experimental verification of Sretenskii’s linear theory of gravity waves in a container partially filled with water and oscillating horizontally according to the harmonic law. It has been shown that this theory predicts the existence of an infinite ordered countabl...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2016-03, Vol.57 (2), p.231-236
Main Author: Bukreev, V. I.
Format: Article
Language:English
Subjects:
Amplitudes
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Containers
Eigenfrequencies
Fluid- and Aerodynamics
Gravity waves
Harmonics
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Oscillating
Physics
Physics and Astronomy
Surface waves
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Summary:This paper presents the results of experimental verification of Sretenskii’s linear theory of gravity waves in a container partially filled with water and oscillating horizontally according to the harmonic law. It has been shown that this theory predicts the existence of an infinite ordered countable set of generation modes of unstable waves. It has been experimentally confirmed that the waves are unstable if the container oscillation frequency is equal to the frequency of any odd standing-wave mode. At even eigenfrequencies of container oscillations, the theory predicts wave amplitudes up to a constant term. Experiment has shown that, in this case, the waves are stable and have minimum amplitudes.
ISSN:0021-8944
1573-8620
DOI:10.1134/S002189441602005X