气体离心机单纯轴向流型下的基本全分离系数

Overall separation factor in a gas centrifuge using a purely axial flow model

通过推导并求解双组分同位素单位摩尔质量差任意丰度的气体离心机平均径向法丰度方程,得到任意丰度下基本全分离系数的表示式。假设流场为单纯轴向流型,求解出流场解析解,该解适合任意量纲一参量A2值。算例给出了任意A2值下的单纯轴向流型流场的一些流动特性,如速度、轴向质量通量及流型效率的分布。并在此流场模型下讨论了一些参量对基本全分离系数γ0的影响,γ0随供料量F增加而减小,随气体密度和扩散系数的乘积的增加而增大,在A2为5～6时存在最大值。

The analytical solution for purely axial flow in a gas centrifuge was obtained by solving a linearized motion equation for the gas centrifuge. The solution was applied for arbitrary values of the speed parameter A^2. A unit molar weight mass difference diffusion equation was solved using the radial averaging approximation method for binary component isotopes. There is no limit to the concentration range. An expression for γ_0 is given for arbitrary concentrations. Calculated examples show that the feed flow rate F, the product of dencity and diffusion coefficient, and the speed parameter A^2 greatly influence γ_0. γ_0 reaches its maximum when the speed parameter A^2 is 5～6.