低浓度三分子模型差速流动引起的化学不稳定性

Chemical instability induced by differential flow in low-concentration Brusselator

建立了低浓度三分子反应模型反应-流动-扩散方程,从理论上分析了出现差速流动化学不稳定的条件,得到了临界流动速率φc和扰动波包的群速度vg,讨论了扰动增长率与流速φ的关系,初步讨论了出现不稳定时的系统空间结构.研究表明,化学反应在低浓度条件下也可能出现差速流动引起的化学不稳定.

The reactionflowdiffusion equation for lowconcentration Brusselator is developed,and the existence condition for differential flowinduced chemical instability in the model is theoretically analyzed.The neutral value φc of flow rate of reactant φ and the group velocity vg of perturbation wave packet are derived;The relations between flow rate φ and the perturbation growth rate Reλ are discussed,and the spatial structure of the system while instability exhibits is initially studied.The results show that the differential flowinduced chemical instability may exhibit under the condition of low concentration for chemical reaction.