The damped sloshing in an upright circular tank due to an orbital forcing

Authors

  • A.N. Timokha Institute of Mathematics of the NAS of Ukraine, Kiev
  • I.A. Raynovskyy Institute of Mathematics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2017.10.048

Keywords:

damping, sloshing, steady-state waves

Abstract

The nonlinear Narimanov—Moiseev-type modal system with linear damping terms is employed to study the damped steady-state resonant sloshing in an upright circular tank due to a prescribed horizontal orbital (elliptic) tank motion with the forcing frequency close to the lowest natural sloshing frequency. Whereas the undamped sloshing implies coexisting the co-directed (with forcing) and counter-directed angular progressive waves (swirling), the damping makes the counter-directed swirling impossible as the forcing orbit tends to a circle.

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References

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Faltisen, O. M. & Timokha, A. N. (2017). Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 4. Oblique forcing and linear viscous damping. J. Fluid Mech., 822, pp. 139-169. https://doi.org/10.1017/jfm.2017.263

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Published

21.09.2024

How to Cite

Timokha, A., & Raynovskyy, I. (2024). The damped sloshing in an upright circular tank due to an orbital forcing . Reports of the National Academy of Sciences of Ukraine, (10), 48–53. https://doi.org/10.15407/dopovidi2017.10.048

Issue

No. 10 (2017): Reports of the National Academy of Sciences of Ukraine

Section

Mechanics

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