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Steady-State Resonant Sloshing in an Upright Cylindrical Container Performing a Circular Orbital Motion

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  • Ihor Raynovskyy
  • Alexander Timokha

Abstract

The nonlinear Narimanov-Moiseev multimodal equations are used to study the swirling-type resonant sloshing in a circular base container occurring due to an orbital (rotary) tank motion in the horizontal plane with the forcing frequency close to the lowest natural sloshing frequency. An asymptotic steady-state solution is constructed and the response amplitude curves are analyzed to prove their hard-spring type behavior for the finite liquid depth (the mean liquid depth-to-the-radius ratio ). This behavior type is supported by the existing experimental data. The wave elevations at the vertical wall are satisfactorily predicted except for a frequency range where the model test observations reported wave breaking and/or mean rotational flows.

Suggested Citation

  • Ihor Raynovskyy & Alexander Timokha, 2018. "Steady-State Resonant Sloshing in an Upright Cylindrical Container Performing a Circular Orbital Motion," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:5487178
    DOI: 10.1155/2018/5487178
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