室内多区域气载颗粒物动态行为研究Ⅰ:定性分析

采用状态空间法预测多区域室内环境中颗粒物的动态传输过程;在状态空间模型里,通过矢量、矩阵等概念,刻画颗粒物演化规律的微分方程组以状态方程的形式紧凑地表示;基于状态空间法的解析解,对气载颗粒物的动态传输特性进行了详细的定性分析。通过定性分析表明系统的原点平衡状态是渐进(李亚普诺夫意义下)稳定的;导出了计算系统最小衰减率的公式,该公式将系统矩阵的特征值与最小衰减率直接联系起来;进一步分析了系统参数对衰减率的影响,分析表明可以定义一个新的综合去除系数。

Dynamic Behaviors of Airborne Particles in Multizone Indoor Environments Ⅰ:Qualitative Analysis

A state space model is employed to predict the dynamic transmission of particulate matters(PM) in multizone indoor air.By introducing vector-matrix notation,the ordinary differential equations describing the dynamic behavior of PM in multizone buildings are expressed as the state equation.The state equation is solved analytically and the dynamic evolution of PM is discussed qualitatively.The analysis indicates that the equilibrium point of the dynamic system is essential in asymptotically stable.The minimum decay coefficient of PM concentrations is computed by a formula,which is found in direct link to the minimum decay rate with the eigenvalues of the state matrix.The impact of system parameters on the minimum decay rate is analyzed in detail,which suggests that a new parameter,named the integrated loss-rate coefficient can be defined.