摘要
为对反应精馏系统中的多稳态现象进行深入分析,提出了利用超熵产生进行定态点稳定性分析和判定的新思路。根据反应精馏质热传递的特征以及熵流熵产分析,建立了该过程的热力学模型;定义系统的二阶变分为超熵,由非平衡热力学定态点的里亚普罗夫稳定性分析理论,取二级超熵δ2S为里亚普罗夫函数,将此函数对时间求导,得到了系统的超熵产生;将系统在扰动情况下的变化转化为超熵产生的变化,根据超熵产生的正负性即可判断系统的稳定性。
Aiming at the phenomena of multiple steady states in the reactive distillation process, a new method based on the analysis of excess-entropy production was proposed for the analysis and judgement of the stability of steady state. Via the discussion of mass transfer, heat transfer, entropy flow and entropy production, the thermodynamics model for reactive distillation process was developed. Using the stability theory of the Lyapounov steady state of non-equilibrium thermodynamics, the second-order variation of the total entropy of the system δ^2S was defined as the Lyapounov function （i.e. excess-entropy）, and then the excess-entropy production was obtained by the time derivative of Lyapounov function. Translating the variation of the system in the disturbance condition into the variation of excess-entropy production, the stability of system thus can be judged from the plus or minus of excess-entropy production.
出处
《高校化学工程学报》
EI
CAS
CSCD
北大核心
2008年第4期563-568,共6页
Journal of Chemical Engineering of Chinese Universities
基金
国家自然科学基金重点资助项目(20436040)
国家自然科学基金资助项目(20176044
20776117)
关键词
反应精馏
非平衡热力学
超熵产生
多稳态
reactive distillation
non-equilibrium thermodynamics
excess-entropy production
multiple steady states
