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首页> 外文期刊>Annals of nuclear energy >Analytical and numerical solutions of sodium particle ignition based on the thermal explosion theory with different forms of reaction rates and variable thermal conductivity
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Analytical and numerical solutions of sodium particle ignition based on the thermal explosion theory with different forms of reaction rates and variable thermal conductivity

机译：基于不同形式的反应速率和可变导热率的热爆炸理论基于热爆炸理论的钠颗粒点火分析与数值解

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摘要

Analytical and numerical solutions of sodium particle ignition under different forms of reaction rates and variable thermal conductivity were investigated. The solutions of the problem were performed by taking into consideration the convection and convection with radiation heat loss cases for spatially uniform temperature of a sodium particle. Analytical expressions for critical conditions that relates the characteristic thermophysical parameters with environmental temperature and initial particle temperature were obtained. The results showed that the much reduction in the delay time significantly depended on the adding of variable thermal conductivity and heat loss types, which is crucially important for nuclear reactor safety. It was found that, as an ambient temperature (theta(a)) increased the ignition time drastically decreased and the temperature slightly increased for both modes of heat loss. It was significant to note that the explosion occurred in a case of the sensitized reaction rate at a time greater than that of Arrhenius and bimolecular reaction rates, which considers more safe than other reaction types. A notable increased was found in the critical temperature for sensitized reaction rate compared to other reaction rates. As gamma(R) (radiation loss parameter) increased above the critical value, the ignition time and ignition temperature decreased. The results showed that the problem could be solved analytically by properly applying the definition of criticality based on the thermal explosion theory in a more straightforward manner without using mathematical approximation solution. (C) 2020 Elsevier Ltd. All rights reserved.
机译：研究了不同形式的反应速率和可变导热性下钠颗粒点火的分析和数值溶液。通过考虑对对流和对流进行对对流和对流进行问题的解决方案，用于对钠颗粒的空间均匀温度进行辐射热损失案件。获得了临界条件的分析表达，其涉及环境温度和初始粒子温度的特征热神经性参数。结果表明，延迟时间的大大降低显着依赖于增加可变导热率和热损耗类型，这对于核反应堆安全至关重要。结果发现，作为环境温度（θ（a））增加了点火时间大幅下降，并且对于两种热量损失模式略微增加。值得注意的是，在大于阿列伦斯和双分子反应速率的时间内发生敏化反应速率的情况下发生爆炸，其考虑比其他反应类型更安全。与其他反应速率相比，在敏感反应速率的临界温度中发现了显着的增加。由于伽马（R）（辐射损失参数）高于临界值，点火时间和点火温度降低。结果表明，通过基于热爆炸理论在不使用数学近似解的情况下适当地应用于基于热爆炸理论的临界性的定义，可以分析问题。 （c）2020 elestvier有限公司保留所有权利。

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