Abstract Small-scale superadiabatic combustors with counter-flow heat exchange segments of finite length are studied using irreversible Arrhenius kinetics. First, the complete two-dimensional conservation equations for the gas phase and the solid walls separating the channels are investigated numerically. Next, a simplified one-dimensional model, also known as the narrow-channel approximation, is derived asymptotically and the results are compared with those of the complete model. The main aim of the study is to assess the applicability limits of the simplified model. The analysis shows that this approximation provides valid results beyond its strict limits of validity.

中文翻译：

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具有逆流换热的超绝热小型燃烧器：火焰结构和窄通道近似的限制

摘要 使用不可逆阿伦尼乌斯动力学研究了具有有限长度逆流换热段的小型超绝热燃烧器。首先，对气相和分隔通道的固体壁的完整二维守恒方程进行了数值研究。接下来，渐近地推导出一个简化的一维模型，也称为窄通道近似，并将结果与​​完整模型的结果进行比较。该研究的主要目的是评估简化模型的适用性限制。分析表明，这种近似提供了超出其严格有效性限制的有效结果。