Article Dans Une Revue Journal of Fluid Mechanics Année : 2022

Wave drag during an unsteady motion

Résumé

The average wave drag in unsteady motion is studied experimentally with force measurements. Towing hulls of size $L$ at sinusoidal speed, the mean drag is measured for different amplitudes and frequencies of the fluctuating velocity, as well as different Froude numbers $\mathcal {F}_0$ associated with the mean velocity $V_0$ ( $\mathcal {F}_0 = V_0/\sqrt {gL}$ ). The wave drag is reported to be either increased or decreased by velocity fluctuations depending on $\mathcal {F}_0$ . For small fluctuation amplitudes, this drag change is proportional to the square of the amplitude. The effect is maximized for a resonance frequency identified as the Wehausen frequency, which scales as $\sqrt {g/L}$ times the inverse of the Froude number. All these results are rationalized by developing an extension to Havelock's theory.

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Dates et versions

hal-03925337 , version 1 (10-07-2024)

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A. Dode, Rémi Arthur Carmigniani, C. Cohen, C. Clanet, L. Bocquet. Wave drag during an unsteady motion. Journal of Fluid Mechanics, 2022, 951, pp.A15. ⟨10.1017/jfm.2022.592⟩. ⟨hal-03925337⟩
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