压强偏移法求解离心级联水力学静态特征根  

Pressure Excursion Method for Obtaining Characteristic Roots of Hydraulics in Centrifuge Cascades

作　　者：李锦[1] 曾实[1] 

机构地区：[1]清华大学工程物理系,北京100084

出　　处：《原子能科学技术》2007年第5期605-609,共5页Atomic Energy Science and Technology

基　　金：国家自然科学基金资助项目(10375033)

摘　　要：求解离心级联水力学静态特征根是同位素离心分离领域的一个重要研究课题。本工作将扩散级联水力学中使用的方法应用到离心级联水力学中,利用压强偏移方程,通过求解完全方程组,得到了离心级联水力学完整的4个静态特征根。与扩散水力学对比可看出,两者极为相似,即在有供取料时,均有4个特征根,Z_2为主特征根,而Z_4=1均为由供取料引起的根。最后,在无供取料情况下,对压强偏移和流量偏移两种求解方法进行比较,结果表明,两者能得到相同的静态特征根。Solving the static characteristic roots of hydraulics in isotope separation by centrifuge cascades is an important problem. The paper adoptes the method used in diffusion cascades in order to obtain the complete 4 static characteristic roots in centrifuge cascade. The method solves the hydraulics equations with pressure excursion equation. Comparison with the diffusion cascade shows that they both have 4 roots, while the 2nd root is main characteristic root and the 4th one Z4 = 1 comes into play only when there exists a feed. Finally, two solution approaches to static characteristic roots, the pressure excursion and the flux excursion, were also compared in the paper. For the centrifuge cascade without any feed, the two approaches can obtain the same static characteristic roots.

关 键 词：离心级联 水力学 静态特征根 压强偏移 流量偏移 

分 类 号：TL364.5[核科学技术—核技术及应用]