Bubble curtains are widely used for sound mitigation during offshore pile driving to protect marine life. However, the lack of well validated hydrodynamic models is a major factor in the inability to predict the sound attenuation of a bubble curtain . We present a new dataset resulting from bubble curtain measurements carried out in a 10 m deep and 31 m wide freshwater tank. The data describe the evolution of the void fraction profile and the bubble size distribution along the height of the bubble curtain. On this basis, a new relationship is developed for the dependence of the entrainment parameter of the bubble curtain on the air flowrate. In addition, we have extended a recently developed integral model for round bubble plumes to seamlessly capture the transition from initially individual round plumes to a planar plume after their merger. With additional modifications to the entrainment relation, the effective slip velocity and the initial condition for the bubble size distribution, the new model is found to be in good agreement with the data. In particular, the bubble size distribution sufficiently distant from the source is found to be independent of the gas flowrate, both in the data and in the model.

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来自喷嘴阵列的平面气泡羽流：测量和建模

气泡幕广泛用于海上打桩过程中的隔音，以保护海洋生物。然而，缺乏经过充分验证的流体动力学模型是无法预测气泡幕声音衰减的主要因素。我们提出了一个新的数据集，该数据集是在 10 m 深、31 m 宽的淡水池中进行的气泡幕测量得出的。这些数据描述了沿气泡幕高度的空隙率分布和气泡尺寸分布的演变。在此基础上，建立了气泡幕夹带参数对空气流量依赖性的新关系式。此外，我们还扩展了最近开发的圆形气泡羽流积分模型，以无缝捕获从最初的单个圆形羽流到合并后的平面羽流的转变。通过对夹带关系、有效滑移速度和气泡尺寸分布的初始条件进行额外修改，发现新模型与数据非常吻合。特别是，在数据和模型中，距离源足够远的气泡尺寸分布都与气体流速无关。