Lyapunov stability and numerical analysis of excursive instability for forced two-phase boiling flow in a horizontal channel
Lyapunov stability and numerical analysis of excursive instability for forced two-phase boiling flow in a horizontal channel
复制标题
水平通道内强制两相沸腾流李亚普诺夫稳定性及偏移不稳定性数值分析
DOI：
10.1016/j.applthermaleng.2019.04.074
复制
发表时间：
2019
影响因子：
6.4
通讯作者：
Yang Zhuqiang
中科院分区：
文献类型：
--
作者：
Liu Feng;Zhang Bo;Yang Zhuqiang
将动力系统的李雅普诺夫稳定性理论与数值分析相结合，研究了水平通道内强迫两相沸腾流动的脉动不稳定性的动力学特征。系统模型由两个一阶非线性常微分方程组成，通过集中参数法得到。李雅普诺夫分析定义了系统平衡解的动态稳定性类型。内特性曲线负斜率处的解为不稳定节点，正斜率处的两个解为稳定节点。游荡失稳可以从一个失稳节点到两个稳定节点来表示。在质量流量与压力降的相空间中，用几个关键特征向量构造了一个初始边界。数值仿真验证了李雅普诺夫稳定性分析的结果。此外，耗散不稳定性是一个多解问题，与系统的初始状态密切相关。初始边界决定了初始状态与稳态解的对应关系，以及单通道系统中迟滞现象的存在。
Lyapunov stability theory in dynamic systems and numerical analysis are combined to investigate dynamic features of excursive instability for forced two-phase boiling flow in a horizontal channel. The system model consists of two first-order nonlinear ordinary differential equations that are obtained via the lumped parameter method. Lyapunov analysis defines the dynamic stability types of equilibrium solutions of the system. The solution in the negative slope of the internal characteristic curve is an unstable node and the other two solutions in the positive slope are stable nodes. Excursive instability can be represented from the unstable node to two stable nodes. An initiation boundary (IB) is constructed with several key eigenvectors in the phase space of mass flux vs. pressure drop. Numerical simulation demonstrates the results from Lyapunov stability analysis. In addition, excursive instability is a multi-solution problem that is closely associated with the initial states of the system. The initiation boundary (IB) determines the correspondence between the initial states and the steady-state solutions, and the existence of the hysteresis phenomenon in the single-channel system.