This paper proposes a new approach for one-dimensional thermoacoustic combustor models. Our new model is a transfer function estimated from the frequency response of the linearised Euler equation to a spatially normalised and temporally impulsive input. The proposed approach can deal with combustors with varying cross-sectional areas under a non-zero mean flow, distributed heating/cooling, and outlet boundary conditions involving entropy waves, overcoming limitations of the popular network model. In addition our new approach can provide a more reliable thermoacoustic model for combustors with entropy-related boundary conditions, remedying the inaccurate entropy model of the network model. Numerical comparisons of our new model with a network model show apparent similarities between the two, validating the new model. It is also observed that, compared to our new model, the network model is more sensitive to mean flow and significantly overestimates the entropy wave effects on combustor acoustics.

本文提出了一种新的一维热声燃烧器模型方法。我们的新模型是从线性欧拉方程到空间归一化时间脉冲输入的频率响应估计的传递函数。所提出的方法可以处理在非零平均流量、分布式加热/冷却和涉及熵波的出口边界条件下具有不同横截面积的燃烧器，克服了流行网络模型的局限性。此外，我们的新方法可以为具有熵相关边界条件的燃烧器提供更可靠的热声模型，从而弥补网络模型的不准确熵模型。我们的新模型与网络模型的数值比较表明两者之间有明显的相似性，从而验证了新模型。还观察到，