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Experimental and numerical investigation of the centrifugal model for underwater explosion shock wave and bubble pulsation

机译：水下爆炸冲击波与气泡脉动离心模型的实验与数值研究

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摘要

In this paper, similarity relation between model and prototype based on centrifugal similarity criteria was mainly studied, and it was proved that underwater explosion shock wave and bubble pulsation were in accordance with the centrifugal similarity. First, the similarity criteria of underwater explosion shock wave and bubble pulsation was derived based on n-principle. It shows that when model size is N times smaller than the prototype size, the acceleration of gravity should be expanded N times, so that the model and prototype can meet the similarity relation. Then centrifugal model tests including two different scaled model of 1/20 and 1/30 for the same prototype were conducted through LXJ-4-450 geotechnical centrifuge apparatus. Besides, corresponding model case and prototype case were numerical calculated by LS-DYNA code. The results of test and numerical calculation fit well and various parameters of model and prototype such as peak pressure of shock wave, secondary peak pressure, bubble radius and the period of bubble pulsation fit well too. It was concluded that the underwater explosion bubble pulsation affected by gravity meets the centrifugal similarity criteria and the model experimental study of the bubble pulsation characteristic or the collective effect of the shock wave and bubble should be conducted through centrifuge apparatus.
机译：本文主要研究了基于离心相似性准则的模型与原型之间的相似性关系，并证明水下爆炸冲击波和气泡脉动符合离心相似性。首先，基于n原理推导了水下爆炸冲击波与气泡脉动的相似性准则。结果表明，当模型尺寸比原型尺寸小N倍时，重力加速度应扩大N倍，以使模型和原型满足相似关系。然后，通过LXJ-4-450岩土离心机，对同一原型进行了包括两个不同比例的1/20和1/30比例模型的离心模型测试。此外，通过LS-DYNA代码对相应的模型案例和原型案例进行了数值计算。测试和数值计算结果吻合得很好，并且模型和原型的各种参数，如冲击波的峰值压力，二次峰值压力，气泡半径和气泡脉动周期也很合适。结论：重力作用下的水下爆炸气泡脉动符合离心相似性准则，应通过离心机对气泡脉动特性或冲击波与气泡的集体效应进行模型实验研究。

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