烟气羽流时空混沌行为的耦合映象格子模型研究  

Study on smoke-plume spatiotemporal random behavior in coupled map lattice

作　　者：马晓茜[1] 孙振刚[1] 

机构地区：[1]华南理工大学电力学院,广州510640

出　　处：《安全与环境学报》2004年第5期7-11,共5页Journal of Safety and Environment

基　　金：国家自然科学基金资助项目 ( 3 0 0 70 62 9)

摘　　要：为研究烟气羽流的时空混沌行为 ,本文从烟气羽流的 N-S动量方程出发 ,根据浮力羽流的半经验公式 ,对方程中相应的项进行替代、化简 ,然后无量纲化 ,得到了以烟气羽流的动量通量 m为系统状态矢量的单向耦合映象格子模型。计算了不同参数变化时 ,耦合周期窗口的时空行为发展 ,并且进行了李雅普诺夫指数λ计算。分析表明 ,开放系统中的烟气羽流会出现形态的多重性 ,包括时空混沌行为。这是由于烟气羽流系统内各种非线性作用的相互影响 ,也就是方程粘性项、浮力项和惯性项作用强弱对比的变化 。This article aims to present a coupled map lattice model initiated by the author to explore the spatiotemporal random behavior of smoke plume. The model is actually deduced from Navier-Stokes equation and modified by using an empirical formula of the buoyant plume. The spatiotemoral behaviors of smoke-plume are numerically simulated by adjusting different non-linear parameters, with the corresponding Lyapunov exponents considered. The results show that there are multiform behaviors in the floating process of the smoke plume in the free space, including its irregular spatiotemoral behaviors. The rationales are that some nonlinear factors affect each other in smoke plume and the floating process is nonreversible, such nonlinear factors, with physical characters of each part being equal, are viscosity, buoyancy and inertia.

关 键 词：工程热物理 烟气羽流 时空混沌 耦合映象格子 李雅普诺夫指数 

分 类 号：TQ038.7[化学工程]