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用正交配置法求解中空纤维气体膜分离过程的数学模型 被引量:6

Solving mathematical model of gas separation in hollow fiber membrane by orthogonal collocation
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摘要 建立了中空纤维膜分离器的微分数学模型,提出了一种采用正交配置法和拟牛顿法相结合的新算法来求解该模型,并采用MATLAB语言编程实现。该方法计算量小、计算稳定性好,并且能够求得微分数学模型的近似解析解,是求解该模型的有效方法。应用该方法对采用逆流流型的中空纤维膜分离器进行了模拟,与实验结果吻合较好,能够用于气体膜分离过程的模拟和优化。 A differential mathematical model for gas separation in hollow fiber membrane and an efficient numerical solution procedure based on orthogonal collocation and Qausi-Newton method to solve the differential model equation have been developed. And the algorithm was programmed by MATLAB. The procedure compared to other applied computational procedures minimized the computational time and effort and improved solution stability. And approximate analytical solution of the model which is very useful in the analysis of separation process can be obtained. Simulation results of gas membrane separation operating in countercurrent show good agreements with experimental results. This method provides a good way to simulate and optimize membrane gas separation.
出处 《计算机与应用化学》 CAS CSCD 北大核心 2005年第1期69-72,共4页 Computers and Applied Chemistry
基金 福建省教育厅资助项目(JB03014) 校科技发展基金(2002-xy-07)
关键词 正交配置法 中空纤维 气体膜分离 数学模型 orthogonal collocation hollow fiber gas separation mathematical model
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参考文献9

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  • 5贺高红,徐仁贤,朱葆琳.中空纤维膜气体分离器的数学模型[J].化工学报,1994,45(2):162-167. 被引量:11
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