Abstract
In this paper we study particle motions in nearly square containers due to gravity and capillary waves generated by vertical, periodic oscillation of the container. The method of second order partial averaging is used to decompose the particle motions into periodic oscillations and a slow Stokes drift. In the case of gravity waves, it is shown that long distance (several wavelengths) particle transport is possible. In the case of capillary waves, it is shown that, in agreement with experimental observations of Ramshankar et al., particle trajectories can be chaotic even when the wave pattern is regular so long as the pattern is spatially modulated.
This research was partially supported by an NSF Presidential Young Investigator Award and an ONR Grant No. N00014-89-J-3023.
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Feng, Z.C., Wiggins, S. (1995). Fluid Particle Dynamics and Stokes Drift in Gravity and Capillary Waves Generated by the Faraday Instability. In: Bajaj, A.K., Shaw, S.W. (eds) Advances in Nonlinear Dynamics: Methods and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0367-1_7
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DOI: https://doi.org/10.1007/978-94-011-0367-1_7
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