Abstract This study focuses on the dynamics of compressibility-driven flames that emerge in narrow tubes, closed at their ignition end, when conductive heat losses through the walls are appreciable. A narrow gap approximation is used to reduce the governing equations to an effectively one-dimensional problem. In long channels this problem admits traveling-wave solutions which we have investigated numerically for finite values of the Zel’dovich number, and asymptotically in the limit of large Zel’dovich numbers. In particular, we describe the flame structure and the dependence of the propagation speed on the physico-chemical parameters, including the heat loss and compressibility parameters, and examine the transition from compressibility-driven to isobaric flames when systematically reducing the representative Mach number.

中文翻译：

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热损失对从狭长管道封闭端传播的可压缩性驱动火焰的影响

摘要 本研究的重点是出现在细管中的可压缩性驱动火焰的动力学，在其点火端关闭，当通过壁的传导热损失是可观的。窄间隙近似用于将控制方程简化为有效的一维问题。在长信​​道中，这个问题允许行波解，我们已经对 Zel'dovich 数的有限值进行了数值研究，并在大 Zel'dovich 数的极限中渐近地研究了这些解。特别是，我们描述了火焰结构和传播速度对物理化学参数的依赖性，包括热损失和压缩性参数，并在系统地降低代表性马赫数时检查从压缩性驱动到等压火焰的转变。