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arXiv · 1812.04931

Instability of a horizontal water half-cylinder under vertical vibration

Dilip Kumar Maity·Krishna Kumar·Sugata Pratik Khastgir
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Abstract

We present the results of an experimental investigation on parametrically driven waves in a water half-cylinder on a rigid horizontal plate, which is sinusoidally vibrated in the vertical direction. As the forcing amplitude is raised above a critical value, stationary waves are excited in the water half-cylinder. Parametrically excited subharmonic waves are non-axisymmetricand qualitatively different from the axisymmetric Savart-Plateau-Rayleigh waves in a vertical liquid cylinder or jet. Depending on the driving frequency, stationary waves of different azimuthal wave numbers are excited. A linear theory is also supplemented, which captures the observed dispersion relations quantitatively.

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Dilip Kumar Maity, Krishna Kumar, Sugata Pratik Khastgir. 2018-12-12. Instability of a horizontal water half-cylinder under vertical vibration. https://doi.org/10.1007/s00348-019-2860-9

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