Temperature waves in chemical reaction-diffusion-heat conduction systems with two ends respectively subject to Dirichlet and no-flux conditions
Temperature waves in chemical reaction-diffusion-heat conduction systems with two ends respectively subject to Dirichlet and no-flux conditions作者机构：Institute of Chemical Physics College of Chemistry Sichuan University Chengdu 610064 China
出 版 物：《Chinese Chemical Letters》 (中国化学快报（英文版）)
年 卷 期：2007年第18卷第11期
页 面：1427-1430页
核心收录：
基 金：Ministry of Education of the People's Republic of China MOE (20050610012)
主 题：Temperature waves Lindemann model Chemical reaction-diffusion-heat conduction
摘 要：Taking the Lindemann model as a sample system in which there exist chemical reactions, diffusion and heat conduction, we found the theoretical framework of linear stability analysis for a unidimensional nonhomogeneous two-variable system with one end subject to Dirichlet conditions, while the other end no-flux conditions. Furthermore, the conditions for the emergence of temperature waves are found out by the linear stability analysis and verified by a diagram for successive steps of evolution of spatial profile of temperature during a period that is plotted by numerical simulations on a computer. Without doubt, these results are in favor of the heat balance in chemical reactor designs.
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