| 化学反应系统的多稳态分析 |
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| 引用本文： | 王杭州,陈丙珍,何小荣,赵劲松,邱彤.化学反应系统的多稳态分析[J].化工学报,2009,60(1):127-133. |
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| 作者姓名： | 王杭州 陈丙珍 何小荣 赵劲松 邱彤 |
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| 作者单位： | 清华大学化学工程系 |
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| 基金项目： | 国家自然科学基金项目(20776010)~~ |
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| 摘 要： | 描述化学反应系统的方程组具有强非线性，而对于非线性问题一般情况下有多个解，如何求解出这些解是一个研究热点。本文针对这一问题提出了一种扩展的同伦延拓法，并以一个理想反应器体系为例，显示出化学反应器具有的多稳态特性。为了深入了解反应系统的本质特性，文中将稳态解的计算结果转化为参数平面上的空间图像，以进一步分析在单参数连续变化下体系的多稳态解的分布情况。
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| 关 键 词： | 非线性方程组 多稳态解 同伦延拓法 |
| 收稿时间： | 2008-10-9 |
| 修稿时间： | 2008-10-17
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Analysis of steady state multiplicity of chemical reaction systems |
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| WANG Hangzhou,CHEN Bingzhen,HE Xiaorong,ZHAO Jinsong,QIU Tong.Analysis of steady state multiplicity of chemical reaction systems[J].Journal of Chemical Industry and Engineering(China),2009,60(1):127-133. |
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| Authors: | WANG Hangzhou CHEN Bingzhen HE Xiaorong ZHAO Jinsong QIU Tong |
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| Affiliation: | Department of Chemical Engineering;Tsinghua University;Beijing 10084;China |
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| Abstract: | The equations that describe the chemical reaction system are strongly nonlinear.Normally there are many solutions of the nonlinear problem.In this paper an extended homotopy-continuation algorithm was proposed, based on which the steady state multiplicity characteristics of an ideal reacting system was studied.In order to deeply understand the essential characteristics of the reacting system, an investigation of how the steady state solutions changed when one single parameter varied continuously was performed.Finally a spatial image of steady state solutions in the parameter plane was given to show the multiplicity characteristics of the reacting system. |
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| Keywords: | nonlinear equations multi-stability solutions homotopy continuation |
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