单相矩形耦合自然循环系统的一维傅里叶级数模型稳定性分析
Stability analysis of a single-phase rectangular Coupled Natural Circulation Loop system employing a Fourier series based 1-D model
摘要：
采用基于傅立叶级数的一维模型对单相耦合自然循环回路进行了线性稳定性分析。一个3-D CFD研究进行评估的能力的1-D模型捕捉非周期性振荡行为所表现出的CNCL系统。模型验证后，由稳态特征值得到系统的稳定性图。CNCL有多个稳定状态和稳定性图的一致观察到的稳定状态。进行了彻底的参数研究，以观察无量纲数的影响的CNCL系统。傅立叶数和流动阻力系数的增加导致稳定域的增加。线性稳定图与经验稳定图的比较表明，非线性项不显着影响稳定边界。
英文摘要：
A linear stability analysis of a single-phase Coupled Natural Circulation Loop (CNCL) is carried out using a Fourier series based 1-D model. A 3-D CFD study is undertaken to assess the ability of the 1-D model to capture the non-periodic oscillatory behaviour exhibited by the CNCL system. After the model verification, the stability maps of the system are obtained from the eigenvalues of the steady-state. The CNCL has multiple steady states and the stability maps of consistently observed steady states are presented. A thorough parametric study is conducted to observe the influence of non-dimensional numbers on the CNCL system. Increase in the Fourier number and flow resistance coefficient lead to an increase in the domain of stability. A comparison of the linear stability map with the empirical stability map indicates that the non-linear terms do not significantly affect the stability boundary.
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