化学反应系统的多稳态分析

化工学报 ›› 2009, Vol. 60 ›› Issue (1): 127-133.

化学反应系统的多稳态分析

王杭州,陈丙珍,何小荣,赵劲松,邱彤

清华大学化学工程系

出版日期:2009-01-05 发布日期:2009-01-05

Analysis of steady state multiplicity of chemical reaction systems

WANG Hangzhou，CHEN Bingzhen，HE Xiaorong, ZHAO Jinsong, QIU Tong

Online:2009-01-05 Published:2009-01-05

摘要/Abstract

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。

关键词:

非线性方程组, 多稳态解, 同伦延拓法

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.

Key words:

非线性方程组, 多稳态解, 同伦延拓法

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.

WANG Hangzhou, CHEN Bingzhen, HE Xiaorong, ZHAO Jinsong, QIU Tong. Analysis of steady state multiplicity of chemical reaction systems[J]. CIESC Journal, 2009, 60(1): 127-133.