Numerical simulation of three-dimensional flame propagation characteristics and cellular instability of natural gas/air
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摘要:
为系统研究天然气/空气层流预混火焰传播特性与不稳定性,采用自适应网格细化的三维瞬态大涡模拟方法,对不同初温、初压和当量比下的天然气/空气球形火焰开展了高精度数值模拟。首先,验证了常温常压下的仿真数据,火焰发展形态与实验相比较为吻合,临界火焰半径与理论预测趋势相同;其次,分析不同初始工况下天然气/空气火焰的关键参数,揭示了初始条件对火焰固有不稳定性的主导机理;最后,基于旋转切面的快速傅里叶变换开展了火焰结构的扰动分析,揭示了扰动与拉伸速率的复杂相互作用。结果表明:改变初温对火焰形态影响甚微;而升高初压会加剧火焰锋面的裂纹分裂、增加细胞数量,使火焰厚度减薄更显著,对火焰稳定性的影响更为突出。此外,还会增强波数介于 4~15 范围内的短波扰动能量,促使不稳定波长向短波方向拓展;而初温和当量比对扰动波数范围的影响较小。
Abstract:To systematically study the flame propagation characteristics and flame instability of natural gas/air premixed flames at different initial temperatures, initial pressures, and equivalence ratios, high-precision numerical simulations were carried out by using a 3D, transient large eddy simulation method with adaptive mesh refinement modeling. Firstly, simulation results at atmospheric temperature and pressure were validated. The simulated flame morphology was in good agreement with experimental data, and the simulated critical flame radius was also in good agreement with that obtained by theoretical prediction. Secondly, key parameters of natural gas/air flames under different initial conditions were analyzed, revealing the dominant mechanism by which initial conditions influenced the inherent instability of flames. Finally, perturbation analysis of the flame structure was conducted based on the Fast Fourier Transform of cross-sections, revealing the complex interaction between perturbations and stretch rates. The results indicated that different initial temperatures had little effect on the flame morphology, but as the initial pressure increased, the crack splitting on the flame front gradually intensified, and the number of cells on the flame surface increased. Increasing the initial pressure had a greater effect on the reduction of flame thickness, while the density ratios were not sensitive to changes of initial pressure. Therefore, the initial pressure had a more significant effect on the flame stability. The disturbance energy of the wave numbers ranging from 4 to 15 increased significantly with initial pressure, and the disturbances with smaller wavelengths developed consequently. By contrast, the initial temperature and equivalence ratio had little effect on the wave number range of disturbances.
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Key words:
- nature gas /
- large eddy simulation /
- flame propagation /
- instability /
- perturbation analysis
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表 1 计算工况设置
Table 1. Computational case setup
工况 初始条件 温度T/K 压力p/MPa 当量比$ \phi $ A1 300 0.5 0.8 A2 300 0.5 1.0 A3 300 0.5 1.2 B1 300 1.0 0.8 B2 300 1.0 1.0 B3 300 1.0 1.2 C1 350 0.5 0.8 C2 350 0.5 1.0 C3 350 0.5 1.2 D1 350 1.0 0.8 D2 350 1.0 1.0 D3 350 1.0 1.2 E1 400 0.5 0.8 E2 400 0.5 1.0 E3 400 0.5 1.2 F1 400 1.0 0.8 F2 400 1.0 1.0 F3 400 1.0 1.2 -
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