钠冷阱丝网布置的最优化分析

Optimal Mesh Arrangement in a Sodium Cold Trap

本文主要讨论冷阱中丝网布置的优化问题。对于冷阱中的质量传递问题采用了一维模型,对丝网沉积面积随时间而变的因素进行了简化处理,提出了液态钠流经丝网区一次后应尽量满足对杂质浓度的要求,且在整个丝网区杂质析出均匀,丝网用量最少情况下的最优化模型。利用庞待里亚金极大值原理对所得模型在等温冷阱情况下进行了求解,并对非等温冷阱的情况进行了定性分析。所得结论可为工程设计提供理论依据。

In this paper, Optimal mesh arrangement in a sodium cold trap is discussed. One dimension model is accepted for mass transfer problem, and mesh surface depending on time is reduced to a simple problem. A model of optimal mesh arrangement is developed. The obtained problem is solved by use of Pontryagin's Minimum Principle. The conculusions can be used for engineering practice.