On the Role That the End Shape of an Underwater Vehicle Plays on Wave-Induced Heave Forces

Kristia M. Suriben, J. Klamo, Kathryn I. Yeager, Young W. Kwon
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Abstract

This paper investigates the error incurred by predicting the wave-induced heave forces on a submerged body using a mathematically simple flat face bow and stern rather than the typical curved ones. We examine both theoretically and experimentally how the heave force changes when flat end faces replace hemispheric end caps. We consider bodies with various length-to-diameter ratios to identify the influence that the ratio of the end cap length to the total body length plays on the heave forces. We also consider bodies with forward speed to identify if heave forces are affected by leading edge separation around the blunt front face which is not present for the hemispheric end cap. The theoretical predictions are from an existing potential flow analytical solution while the experimental results were collected in a towing tank with wavemaking capability. The theoretically predicted percent increase in the heave forces caused by the flat end face was confirmed by the experimental results. Finally, the theoretical predictions also showed that the percent increase in the heave force is independent of the forward speed of the body. This was also confirmed with the experimental results.
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水下航行器末端形状对波浪升沉力的影响
本文研究了用数学上简单的平直的船首和船尾面来代替典型的弯曲面来预测沉体上的波浪致升力所产生的误差。我们从理论和实验两方面研究了当平面端面取代半球端盖时升力的变化。我们考虑具有不同长径比的物体,以确定端盖长度与总长度之比对升沉力的影响。我们还考虑了具有前进速度的物体,以确定升沉力是否受到钝正面周围的前缘分离的影响,这在半球端帽中不存在。理论预测来自现有的势流分析解,而实验结果是在具有造波能力的拖曳槽中收集的。实验结果证实了理论预测的平端面引起的升沉力增加百分比。最后,理论预测还表明,升力增加的百分比与身体的前进速度无关。实验结果也证实了这一点。
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