燃烧、爆炸过程复杂性行为的非线性动力学(Ⅰ)

从非线性动力学观点,总结了燃烧和爆炸系统的多种复杂现象。指出了其非线性现象之间的对应关系。提出了从非线性即从“系统”、“全局或大范围”、“演化”及“统一”地观点认识燃烧和爆炸现象的观点。     

T型管道不同封闭状态瓦斯爆燃火焰传播特征

为了研究分岔管道不同封闭状态下瓦斯爆燃火焰阵面传播规律,在自制的T型透明分岔管道内,设置支管端口完全封闭、直管左端口弱封闭,采用光电传感器和压力传感器测试了直管右端弱封闭、完全封闭2种情况下,预混甲烷-空气可燃气体爆燃火焰传播过程中速度、超压参数的变化情况。结果表明:由于分岔的存在,2种封闭状态在支管端点火后瓦斯爆燃火焰阵面在支管中的传播速度均先增大后减小;直管右端弱封闭时,经过分岔后火焰加速向直管两端传播速度基本一致,分别达到86.29 m/s和88.07 m/s;直管右端完全封闭时,火焰向弱封闭端传播速度增大至166.67 m/s,火焰向完全封闭端传播时并不断压缩未燃气体产生高压振荡反馈导致火焰振荡传播现象,火焰速度不断减小至4.84 m/s;管道内瓦斯爆燃超压均迅速上升到达峰值,之后受压缩气体的膨胀和冲击后爆燃产物的振荡作用迅速下降。     

Reconsidering the Dynamic Interaction of Renewable Resources and Population Growth: A Focus on Long-Run Sustainability

Within the framework of a general equilibrium model we study the long-run dynamics of resources and population if the growth rate of resources and population and the share of labor devoted to production are adversely affected by resource scarcity. Our results show that sustainability, i.e. a positive value of resources and population in the long run, essentially depends on the level of per capita resources at which these feedback mechanisms become active. A detailed bifurcation analysis evidences the richness of possible long-run dynamics.