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Experiments in Fluids

, 61:25 | Cite as

Instability of a horizontal water half-cylinder under vertical vibration

  • Dilip Kumar Maity
  • Krishna KumarEmail author
  • Sugata Pratik Khastgir
Research Article

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-axisymmetric and 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.

Graphic abstract

Notes

Acknowledgements

Partial support from SERB, India through Project Grant No. EMR/2016/000185 is acknowledged. The authors acknowledge fruitful suggestions from anonymous referees, which improved the manuscript.

Supplementary material

Supplementary material 1 (MP4 16,906 kb)

Supplementary material 1 (MP4 6,771 kb)

Supplementary material 1 (MP4 4,478 kb)

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Supplementary material 1 (CLS 47 kb)
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Supplementary material 1 (CLO 4 kb)

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of PhysicsIndian Institute of Technology KharagpurKharagpurIndia

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