Long-Term Simulation of Sodium Dynamics During a Large Leakage Sodium-Water Reaction

Xiao-Yang Bai, Peiwei Sun, Gang Luo, Huasong Cao
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Abstract

The steam generator of the sodium-cooled reactor is the barrier between the secondary and third loops. When the heat transfer pipe breaks, the water/steam will pour into the sodium and a sodium-water reaction will occur. The pressure in the secondary loop will increase and the rupture disks will burst to reduce the pressure. For the safety analysis, the maximum pressure is limited. For the long term, the pressure pulse weakens and the fluid flow tends to a quasi-steady state several seconds or minutes after leak initiation. Therefore, it is necessary to develop a model to investigate the dynamics of the secondary loop in the long term. The continuity equation, the momentum equation and the energy equation are used to derive the sodium flow model in the secondary loop. The sodium pressure and velocity are described by the one-dimensional differential equation. The lumped parameter method is applied and the differential equations are solved by the Euler method. FORTRAN language is compiled to develop the code. Critical equipment, including the steam generator, buffer tank, pump, rupture disks, and accident discharge tank are considered in the secondary loop model. The sodium velocity and pressure responses varying with time can be obtained. Compared with the data from the safety analysis report, the tendency of the sodium velocity and pressure is consistent. It is proved that the model is reasonable and effective to simulate and analyze the actual long-term effects of sodium dynamics.
大泄漏钠-水反应中钠动力学的长期模拟
钠冷堆的蒸汽发生器是二回路和三回路之间的屏障。当换热管破裂时,水/蒸汽就会涌入钠中,发生钠-水反应。二次回路中的压力会增加,破裂片会破裂以降低压力。在安全性分析中,最大压力是有限的。从长期来看,泄漏发生后几秒或几分钟,压力脉冲减弱,流体流动趋于准稳态。因此,有必要建立一个长期研究次级环流动力学的模型。利用连续方程、动量方程和能量方程推导了二次回路中钠的流动模型。钠的压力和速度用一维微分方程来描述。采用集总参数法,用欧拉法求解微分方程。用FORTRAN语言编译开发的代码。二次回路模型考虑了蒸汽发生器、缓冲罐、泵、破裂盘、事故排放罐等关键设备。可以得到钠的速度和压力随时间变化的响应。与安全分析报告的数据比较,钠流速和压力的变化趋势是一致的。结果表明,该模型对模拟和分析钠动力学的实际长期效应是合理有效的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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