基于径向平均法的离心机过渡过程的丰度方程  

The Concentration Equation for Transient Processes in a Gas Centrifuge Based on the Axial Averaging Approach

作　　者：曾实[1] ZENG Shi(Department of Engineering Physics,Tsinghua University,Beijing 100084,China)

机构地区：[1]清华大学工程物理系,北京100084

出　　处：《同位素》2022年第1期1-7,共7页Journal of Isotopes

基　　金：国家自然科学基金资助项目(11575097,11911530087)。

摘　　要：分析气体离心机动态过程中的分离情况需要描述动态过程物质输运的丰度方程。为避免大量数值计算,方程最好简单且能够反映关键的分离过程。基于径向平均法,从非平衡态物质输运方程推导描述离心机过渡过程中丰度轴向分布的微分方程。应用变密度等温刚体模型和单纯轴向流假设,对丰度方程进一步简化和分析。简化方程解决了由变密度等温刚体模型引入的各组分弥散质量源汇问题,从而使丰度方程能够被求解。A concentration equation that describes the mass transfer in transient processes is required for analyzing the separation in transient processes of a gas centrifuge.It is desirable that the equation is simple but is able to reflect the characteristics in transient separation processes to avoid heavy numerical computation.A partial differential equation governing the axial distribution of concentrations in a gas centrifuge is derived from the general equation of mass transfer at unsteady state based on the axial averaging approach.By employing the variable density isothermal rigid body model,the equation is further simplified and analyzed.The dispersion mass source/sink introduced as the result of the model is handled during the simplification to make the concentration solvable.

关 键 词：气体离心机 过渡过程 同位素分离 径向平均法 丰度方程 

分 类 号：TL250.1[核科学技术—核燃料循环与材料]