Internal wave radiation by a horizontally oscillating sphere in a uniformly stratified fluid

Abstract : We present a new experimental method and theory for the internal wave field emitted by a horizontally oscillating sphere in a linearly stratified fluid. The linear theory is for small-amplitude three-dimensional perturbations and incorporates viscous effects, transient effects, added-mass effects and near-field effects. For the measurements of the wave amplitude and structure, we employ a dye visualization technique in a single vertical plane. This technique allows simultaneously for appealing flow visualizations and accurate wave measurements, and in contrast to other methods allows for the measurement across a single vertical section. The near-field approximation of the theory is found to be in excellent agreement with the experimental results, in contrast to former experimental results in which wave reflection and transient effects obscured the comparison. Increasing the oscillation amplitude shows that linear theory is accurate up to 5% when the non-dimensional oscillation amplitude is A/D < 0.1 where D is the sphere diameter.
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Evgeny V. Ermanyuk, Jan-Bert Flór, Bruno Voisin. Internal wave radiation by a horizontally oscillating sphere in a uniformly stratified fluid. 19ème Congrès Français de Mécanique, Aug 2009, Marseille, France. pp.1216. ⟨hal-00583099⟩



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