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双分子反应扩散系统中化学波的数值模拟 被引量:1

The Numerical Simulation of the Chemical Waves in the Double-Molecule Reaction-Diffusion System
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摘要 采用理论分析和数值模拟研究双分子反应扩散系统中的化学波.建立该系统的理论模型,给出系统的动力学分析、存在化学波的必要条件及化学波波速的最小值,并用数值方法模拟不同参数情况下反应物和催化剂的浓度分布波形.建立的数学模型能够产生具有一定特性的化学波。 To study the chemical waves in a double-molecule reaction-diffusion system coupled with the quadratic decay reaction, the theoretical analysls method and the numerical calculation were used. The theoretical model of this kind of reaction-diffusion system was established. The essential condition of the chemical waves occuring and the minimum speed of the chemical waves were derived by the kinetics analysis. The curves of the concentration dlstrlbution of the reactant and the catalyst were simulated with difference parameters. The theoretical model set up in this paper can generates the chemical waves.
出处 《北京理工大学学报》 EI CAS CSCD 2000年第2期245-249,共5页 Transactions of Beijing Institute of Technology
基金 国家自然科学基金!29503016
关键词 化学波 反应-扩散方程 双分子模型 数值模拟 open system autocatalysis chemical waves reaction-diffusion equation
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参考文献5

  • 1[1] Finlayson A B, Merkin J H. Travelling waves in an open quadratic autocatalytic chemical system[J]. Journal of Mathematical Chemistry, 1997,21:305~321.
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