Abstract

We formulate and numerically analyze the problem of formation of rotating three-dimensional detonation waves in an annular gap between parallel plates. It is assumed that a homogeneous combustible mixture contained in a reservoir with given stagnation parameters flows into the gap through elementary nozzles that uniformly fill the external ring bounding the gap. The gas dynamic parameters of the mixture are defined as functions of the stagnation parameters and the static pressure in the gap. In the absence of ignition, the mixture flows out into a half-closed axially symmetric volume bounded on one side by a flat disk (extension of one of the plates forming the gap). On the opposite side of the volume, a nozzle is attached, through which the mixture flows out into air at given pressure and temperature. Detonation is initiated by a directional explosion, i.e., by energy supply to the flow of the combustible mixture in a narrow area where it flows into the gap. We work out a method that allows the simultaneous initiation of several detonation waves rotating in a given direction. For the considered geometric parameters of the flow region, the formation of one to four rotating detonation waves is observed. We analyze the stability of the process under the variation of the stagnation parameters of the mixture, and obtain data on the corresponding reactive force due to the jet of detonation products flowing out into air. We present the results of calculations for a propane–air mixture that are obtained within the single-stage combustion kinetics by a numerical method based on S. K. Godunov’s scheme and implemented in the original software system on the Lomonosov supercomputer at Moscow State University.

中文翻译：

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环形间隙中旋转爆轰波的研究

摘要

我们对平行板之间的环形间隙中的三维爆轰波的旋转问题进行了公式化和数值分析。假定包含在具有给定停滞参数的容器中的均质可燃混合物通过基本喷嘴均匀流入填充边界的外部环，该基本喷嘴均匀地填充边界。混合物的气体动力学参数被定义为停滞参数和间隙中的静压力的函数。在没有点火的情况下，混合物流到一个半封闭的轴向对称的容积中，该容积在一侧由平盘界定（形成间隙的两个板之一）。在该容积的另一侧，安装了一个喷嘴，混合物在给定的压力和温度下通过喷嘴流出到空气中。爆炸是由定向爆炸引起的，即，通过向可燃混合物在狭窄区域中流入间隙的流动提供能量。我们设计出一种方法，该方法可以同时引发沿给定方向旋转的多个爆震波。对于所考虑的流动区域的几何参数，观察到一到四个旋转爆轰波的形成。我们在混合物的停滞参数变化的情况下分析了过程的稳定性，并获得了由于爆炸产物喷射到空气中而产生的相应反作用力的数据。我们介绍了基于SK的数值方法在单级燃烧动力学内获得的丙烷-空气混合物的计算结果。