Identification of heat transfer dynamics for non-modal analysis of thermoacoustic stability
Identification of heat transfer dynamics for non-modal analysis of thermoacoustic stability
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热声稳定性非模态分析的传热动力学识别
DOI：
10.1016/j.amc.2010.07.051
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
W. Polifke
中科院分区：
文献类型：
--
作者：
F. Selimefendigil;R. Sujith;W. Polifke
提出了一种分析局部热源热声系统非模式稳定性分析的系统方法。热源对流动摄动的响应由非定常计算流体力学和基于关联的线性系统辨识相结合得到。用Galerkin展开技术建立了完整热声系统的模型，其中热源被包含为声学紧凑单元。通过对解算符的离散化得到系统的本征值，利用Kreiss定理从伪谱估计最大增长因子。用一个简单的Rijke管结构说明了这种方法。根据金定律建立了一个简单的热源动力学“基线”模型，该模型广泛应用于热线风速测量，并将其结果与本文开发的更高级的处理方法进行了比较。对伪谱图的分析表明，热源模型的选择确实影响本征值对扰动的敏感性，从而影响非正态行为。基于金氏定律的热源模型比基于CFD的热源模型对热源位置的变化更敏感。
A systematic approach for non-modal stability analysis of thermoacoustic systems with a localized heat source is proposed. The response of the heat source to flow perturbations is obtained from unsteady computational fluid dynamics combined with correlation-based linear system identification. A model for the complete thermoacoustic system is formulated with a Galerkin expansion technique, where the heat source is included as an acoustically compact element. The eigenvalues of the resulting system are obtained from discretization of the solution operator, the maximum growth factor is estimated from the pseudospectra using Kreiss’ theorem. The approach is illustrated with a simple Rijke tube configuration. Results obtained with a simple “baseline” model for the heat source dynamics based on King’s law – widely used in hot wire anemometry – are compared against the more advanced treatment developed here. Analysis of pseudospectra diagrams shows that the choice of the heat source model does influence the sensitivity of eigenvalues to perturbations and hence the non-normal behavior. The maximum growth factor for the system with the heat source model based on King’s law is more sensitive to changes in the heat source location than the CFD-based heat source model.