A major proportion of the energy produced in modern era comes from the combustion of fossil fuels, which is also a dominant contributor to air pollution. Due to stricter pollution norms, combustors are compelled to reduce NO_X by reducing the temperature during combustion. Hence, lean premixed pre-vaporized combustors have been introduced.^1,2 However, it comes at a cost of increased likelihood of thermo-acoustic combustion instability during the combustion process.^3,4 Combustion instabilities can be observed in many systems such as liquid and solid propellant rockets, jet engines, ramjets and industrial power plants. Combustion instability comes to the fore if the gains associated with the non-steady combustion process exceed the losses due to viscous effects, heat transfer, particle relaxation and radiation damping.⁵ In general, the gain processes driving combustion instability are diverse and complex, because multiple phenomena should be taken into consideration at once to incorporate three-way coupling between the flame heat release, the acoustics of the combustor and the hydrodynamics. In engineering practice, it is commonly assumed that the coupling between flame heat release and one of the acoustic modes plays a key role in the advent of thermo-acoustic instabilities in combustors. The present combustion literature offers abundant coverage of the role of acoustic modes in combustion instability. The text books of Lieuwen and Yang,⁶ Poinsot and Veynante⁷ as well as theoretical work by Dowling et al.^8,9 can be referred in this context for more details.

中文翻译：

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具有理想和非理想端边界的一维开式燃烧器一维模型中火焰固有不稳定性的解析描述

现代时代产生的大部分能源来自化石燃料的燃烧，这也是造成空气污染的主要因素。由于严格的污染标准，燃烧器被迫通过降低燃烧过程中的温度来减少NO _X。因此，引入了贫油的预混合预蒸发燃烧器。^1,2然而，这是以增加燃烧过程中热声燃烧不稳定性的可能性为代价的。^3,4在许多系统中都可以观察到燃烧不稳定性，例如液体和固体推进剂火箭，喷气发动机，冲压喷气发动机和工业发电厂。如果与非稳定燃烧过程相关的收益超过了由于粘性效应，传热，颗粒弛豫和辐射衰减所造成的损失，则燃烧不稳定性将成为首要问题。⁵通常，驱动燃烧不稳定性的增益过程是多样且复杂的，因为应立即考虑多种现象，以在火焰热量释放，燃烧室的声学特性和流体动力学之间纳入三向耦合。在工程实践中，通常假定火焰热释放与一种声学模式之间的耦合在燃烧器中热声不稳定性的出现中起关键作用。当前的燃烧文献提供了关于声学模式在燃烧不稳定性中的作用的大量报道。Lieuwen和Yang的教科书，⁶ Poinsot和Veynante ⁷，以及Dowling等人的理论著作。可以在此上下文中参考^8,9以获得更多详细信息。