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Scale effects on the wave-making resistance of ships sailing in shallow water

机译：浅水船舶在浅水中帆船抗力的影响

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摘要

The conventional extrapolation of ship resistance from model tests to full scale presumes that the coefficient of wave-making resistance (C-w) depends on the Froude number only. This leads to the assumption that C-w of a ship is identical to C-w of its scaled model. However, this assumption is challenged in shallow water due to viscous effects, which are represented by the Reynolds number (Re). In this study, different scales (different Re) of the Wigley hull and the KCS hull are used to investigate the scale effects on C-w numerically. After verification and validation, systematic computations are performed for both ships and their scaled models in various shallow-water conditions. Based on the results, significantly larger values of C-w are found for the KCS at model scale in very shallow water, suggesting that the conventional extrapolation has to be reconsidered. Additionally, this study reveals the relationship between the changes in frictional resistance coefficient (C-f) and the changes in C-w caused by shallow water, which benefits the prediction of shallow water effects on C-w. Finally, use of a larger ship model, where the Re is also higher, is recommended for resistance tests in shallow water to reduce scale effects on C-w.
机译：从模型测试到满量程的传统外推到满量程的推测，波动阻力（C-W）的系数仅取决于FRoude号码。这导致船舶的C-W的假设与其缩放模型的C-W相同。然而，由于粘性效应，这种假设在浅水中受到抗粘性的挑战，其由雷诺数（RE）表示。在这项研究中，使用Wigley Hull的不同尺度（不同的RE）和KCS船体以在数值上研究C-W的尺度效应。验证和验证后，在各种浅水条件下对两次船舶及其缩放模型进行系统计算。基于结果，在非常浅水中为模型刻度的KCS发现显着更大的C-W值，表明必须重新考虑传统的外推。另外，该研究揭示了摩擦阻力系数（C-F）变化与浅水引起的C-W变化之间的关系，这有利于对C-W的浅水效应预测。最后，建议使用较大的船舶模型，其中RE也更高，建议用于浅水中的电阻测试，以减少对C-W的尺度效应。

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