<p>This work presents a numerical investigation into the two-degree-of-freedom vortex-induced vibrations (VIV) of three elastically mounted tandem circular cylinders located in a close proximity to a plane boundary and subjected to an oscillatory flow at a constant Keulegan-Carpenter number (<i>KC</i>) of 10. A transient two-dimensional Reynolds-Averaged Navier–Stokes (RANS) model, coupled with a structural dynamic model, is employed to examine the effects of gap ratios of 1.5, 2.5, 5 and center-to-center spacing ratios of 2, 3, 4 over a reduced velocity range from 2 to 15. The results indicate that the lock-in regime occurs for 5 ≤ <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({U}_{r}\)</EquationSource> </InlineEquation>  ≤ 10, where the maximum in-line vibration amplitudes are approximately twice the cross-flow amplitudes, representing a reversal of the typical behaviour, observed in steady-flow VIV. The gap ratio has a significant influence on the response, with larger gap ratios increasing the first cross-flow lock-in peak for the upstream and downstream objects, while the impact on the second cross-flow lock-in peak remains position-dependent. The spacing ratio strongly affects cylinder – wake interactions, with closer spacing amplifying the response of the middle cylinder at lower <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({U}_{r} ,\)</EquationSource> </InlineEquation> but suppressing it at a higher <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({U}_{r} .\)</EquationSource> </InlineEquation> Trajectory analysis reveals distinct motion patterns, including figure-of-eight, arc-like, and ring-shaped orbits, depending on <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({U}_{r} .\)</EquationSource> </InlineEquation></p>

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Vortex-induced vibrations of three tandem cylinders in proximity to a plane boundary in oscillatory flow

  • Henry Francis Annapeh,
  • Victoria Kurushina,
  • Guilherme Rosa Franzini

摘要

This work presents a numerical investigation into the two-degree-of-freedom vortex-induced vibrations (VIV) of three elastically mounted tandem circular cylinders located in a close proximity to a plane boundary and subjected to an oscillatory flow at a constant Keulegan-Carpenter number (KC) of 10. A transient two-dimensional Reynolds-Averaged Navier–Stokes (RANS) model, coupled with a structural dynamic model, is employed to examine the effects of gap ratios of 1.5, 2.5, 5 and center-to-center spacing ratios of 2, 3, 4 over a reduced velocity range from 2 to 15. The results indicate that the lock-in regime occurs for 5 ≤ \({U}_{r}\)  ≤ 10, where the maximum in-line vibration amplitudes are approximately twice the cross-flow amplitudes, representing a reversal of the typical behaviour, observed in steady-flow VIV. The gap ratio has a significant influence on the response, with larger gap ratios increasing the first cross-flow lock-in peak for the upstream and downstream objects, while the impact on the second cross-flow lock-in peak remains position-dependent. The spacing ratio strongly affects cylinder – wake interactions, with closer spacing amplifying the response of the middle cylinder at lower \({U}_{r} ,\) but suppressing it at a higher \({U}_{r} .\) Trajectory analysis reveals distinct motion patterns, including figure-of-eight, arc-like, and ring-shaped orbits, depending on \({U}_{r} .\)