同轴离心式喷嘴热声不稳定性递归网络分析
杨尚荣1, 周晨初1,王牧昕2

(1.西安航天动力研究所 液体火箭发动机技术重点实验室, 陕西 西安 710100; 2.中国航天科工集团公司六院210所,陕西 西安 710065)

同轴离心式喷嘴; 热声不稳定; 递归网络; 网络测度; 阵发性

Dynamic behavior of thermoacoustic instabilities of an coaxial swirl injector using recurrence network
YANG Shangrong1, ZHOU Chenchu1, WANG Muxin2

(1.Science and Technology on Liquid Rocket Engine Laboratory, Xi'an Aerospace Propulsion Institute, Xi'an 710100, China; 2. 210 Institute, The Sixth Academy of China Aerospace Science & Industry Corp., Xi'an 710065, China)

coaxial swirl injector; thermoacoustic instability; recurrence network; network measures; intermittency

备注

为获得同轴离心式喷嘴燃烧动力学特性,开展了喷注单元稳定性试验研究。试验中随着混合比的增加,系统依次经历了燃烧噪声状态、阵发状态和准周期振荡状态。采用递归网络方法对实验结果进行分析,获得了典型工况下的网络拓扑图。燃烧噪声状态体现出随机特征,阵发状态体现出中央聚集和极限环边界特征,准周期振荡状态体现出宽边界圆环特征。利用网络全局测度对系统动力学状态转变过程进行量化估计,发现聚类系数、特征路径长度、介数中心性、网络直径、全局有效性、同配性等均可作为同轴离心式喷嘴燃烧动力学转变过程的表征指标。

An experimental investigation of a laboratory-scale coaxial swirl injector in a cylindrical combustor was carried out. The dynamic behavior transits from combustion noise to quasiperiodic oscillations via intermittency with increasing mixture ratio. The topologies of recurrence networks constructed from the time series of acoustic pressure for three typical equivalence ratios were obtained. It is founded that the topologies show characteristics of random, central concentration and limit cycle boundary, and torus in the state of combustion noise, intermittency and quasiperiodic oscillation respectively. Topological measures of complex networks, namely clustering coefficient, characteristic path length, betweenness centrality, global efficiency, network diameter and assortativity were computed and used to distinguish different dynamical regimes in a turbulent combustor. It is found that these network properties capture the change in physical state of the system dynamics during the transition from combustion noise to combustion instability.