Wakui Takashi, Takagishi Yoichi, Futakawa Masatoshi
J-PARC Center, Japan Atomic Energy Agency, Ibaraki 319-1195, Japan.
Kobelco Research Institute Inc., Kobe 651-2271, Japan.
Materials (Basel). 2023 Aug 25;16(17):5830. doi: 10.3390/ma16175830.
Cavitation damage on a mercury target vessel for a pulsed spallation neutron source is induced by a proton beam injection in mercury. Cavitation damage is one of factors affecting the allowable beam power and the life time of a mercury target vessel. The prediction method of the cavitation damage using Monte Carlo simulations was proposed taking into account the uncertainties of the core position of cavitation bubbles and impact pressure distributions. The distribution of impact pressure attributed to individual cavitation bubble collapsing was assumed to be Gaussian distribution and the probability distribution of the maximum value of impact pressures was assumed to be three kinds of distributions: the delta function and Gaussian and Weibull distributions. Two parameters in equations describing the distribution of impact pressure were estimated using Bayesian optimization by comparing the distribution of the cavitation damage obtained from the experiment with the distribution of the accumulated plastic strain obtained from the simulation. Regardless of the distribution type, the estimated maximum impact pressure was 1.2-2.9 GPa and existed in the range of values predicted by the ratio of the diameter and depth of the pit. The estimated dispersion of the impact pressure distribution was 1.0-1.7 μm and corresponded to the diameter of major pits. In the distribution of the pits described by the accumulated plastic strain, which was assumed in three cases, the delta function and Gaussian and Weibull distributions, the Weibull distribution agreed well with the experimental results, particularly including relatively large pit size. Furthermore, the Weibull distribution reproduced the depth profile, i.e., pit shape, better than that using the delta function or Gaussian distribution. It can be said that the cavitation erosion phenomenon is predictable by adopting the Weibull distribution. This prediction method is expected to be applied to predict the cavitation damage in fluid equipment such as pumps and fluid parts.
脉冲散裂中子源汞靶容器上的空化损伤是由质子束注入汞中引起的。空化损伤是影响汞靶容器允许束功率和寿命的因素之一。考虑到空化泡核心位置和冲击压力分布的不确定性,提出了使用蒙特卡罗模拟的空化损伤预测方法。假设单个空化泡坍塌引起的冲击压力分布为高斯分布,冲击压力最大值的概率分布假设为三种分布:狄拉克函数、高斯分布和威布尔分布。通过将实验得到的空化损伤分布与模拟得到的累积塑性应变分布进行比较,利用贝叶斯优化估计了描述冲击压力分布方程中的两个参数。无论分布类型如何,估计的最大冲击压力为1.2 - 2.9 GPa,且存在于由坑的直径与深度之比预测的值范围内。估计的冲击压力分布离散度为1.0 - 1.7μm,与主要坑的直径相对应。在假设的三种情况下,即狄拉克函数、高斯分布和威布尔分布所描述的坑的累积塑性应变分布中,威布尔分布与实验结果吻合良好,特别是包括相对较大的坑尺寸。此外,威布尔分布比使用狄拉克函数或高斯分布能更好地再现深度轮廓,即坑的形状。可以说,采用威布尔分布可以预测空蚀现象。这种预测方法有望应用于预测泵和流体部件等流体设备中的空化损伤。