多组分分离的Cohen径向平均丰度方程的数值求解
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- 英文论文题名：Numerical solution of the cohen's radially averaged concentration equation for multi-isotope separation
- 论文作者：曾实 ; 张宇楠 ; 姜东君
- 英文论文作者：ZENG Shi ; ZHANG Yu-nan ; JIANG Dong-jun ; Tsinghua University
- 年：2015
- 作者机构：清华大学;
- 论文关键词：多组分同位素分离 ; Cohen径向平均丰度方程 ; 数值求解 ; 气体离心机
- 英文论文关键词：multi-isotope separation ; Cohen's equation ; numerical solution ; gas centrifuge
- 会议召开时间：2015-09-21
- 会议录名称：中国核科学技术进展报告（第四卷）——中国核学会2015年学术年会论文集第4册（同位素分离分卷）
- 语种：中文
- 分类号：O652.6
- 学会代码：EGVD
- 会议名称：中国核学会2015年学术年会
- 会议地点：中国四川绵阳
- 主办单位：中国核学会
- 学会名称：中国核学会
- 页数：7
- 文件大小：340k
- 原文格式：O
- 会议级别：全国
摘要
文章给出了数值求解多组分分离时的Cohen径向平均丰度方程的方法,通过Xe分离和CrO_2 F_2的分离算例对方法的有效性进行了验证,结果表明方法收敛很快,计算费时很少。分离的结果揭示在大分离系数下,由各组分间分离计算出的所谓单位质量差全分离系数γ_0不相同,即关系式γ_(ij)=γ_0~(M_j-M_i)不再成立。但对大多数离心机,γ_0<1.5,该关系式仍然是可以使用的。
A numerical method for the solution of the Cohen's radially averaged concentration equation is presented in the case of multi-isotope separation.The applicability of the method is verified through two cases of separation,Xe and CrO_2 F_2,and the results show that the convergence is fast and little time is consumed.The separation results demonstrate that in the case of large separation factors,the overall separation factors γ_0 of unit mass difference are not equal,which are calculated by using the separation between different components.This means that the relationship γ_(ij)=γ_0~(M_j-M_i) no longer holds.However,for most centrifuges,γ_0<1.5,this relationship can still be employed.
A numerical method for the solution of the Cohen's radially averaged concentration equation is presented in the case of multi-isotope separation.The applicability of the method is verified through two cases of separation,Xe and CrO_2 F_2,and the results show that the convergence is fast and little time is consumed.The separation results demonstrate that in the case of large separation factors,the overall separation factors γ_0 of unit mass difference are not equal,which are calculated by using the separation between different components.This means that the relationship γ_(ij)=γ_0~(M_j-M_i) no longer holds.However,for most centrifuges,γ_0<1.5,this relationship can still be employed.
引文
[1]曾实.一种数值求解Cohen径向平均丰度方程的方法.清华大学工程物理系技术物理研究所报告.2014.
[2]Harink-Snijders H G M.Solving the diffusion equation for multi-isotope mixtures.In(Wood H.G.ed.):Proc.3rd.Workshop on Separation Phenomena in Liquids and Gases.Univ.of Virginia,Charlottesville,USA,1992.
[3]Wood H G,Sanders G.Rotating compressible flows with internal sources and sinks.J.Fluid Mech.1983,127:299-313
[4]http://encyclopedia,airliquide.com/Encyclopedia.asp?GasID=71.
[5]Poling B E,Prausnitz J M,O'Connell J P.The Properties of Gases and Liquids.Fifth Edition,McGraw-Hill,New York,2000.
[6]Wood H G,Mason T C,Soubbaramayer.Multi-isotope separation in a gas centrifuge using Onsager's pancake model.Sep.Sci.Technol.1996,31(9):1185-1213.
[2]Harink-Snijders H G M.Solving the diffusion equation for multi-isotope mixtures.In(Wood H.G.ed.):Proc.3rd.Workshop on Separation Phenomena in Liquids and Gases.Univ.of Virginia,Charlottesville,USA,1992.
[3]Wood H G,Sanders G.Rotating compressible flows with internal sources and sinks.J.Fluid Mech.1983,127:299-313
[4]http://encyclopedia,airliquide.com/Encyclopedia.asp?GasID=71.
[5]Poling B E,Prausnitz J M,O'Connell J P.The Properties of Gases and Liquids.Fifth Edition,McGraw-Hill,New York,2000.
[6]Wood H G,Mason T C,Soubbaramayer.Multi-isotope separation in a gas centrifuge using Onsager's pancake model.Sep.Sci.Technol.1996,31(9):1185-1213.