Dynamic characteristics of spherically converging detonation waves

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• 作者：Zonglin Jiang ; Lina Chang and Fan Zhang
• 关键词：Spherically converging detonation ; Spherical shock wave ; Gas dissociation ; Chemical reaction ; Numerical simulation
• 刊名：Shock Waves
• 出版年：2007
• 出版时间：February, 2007
• 年：2007
• 卷：16
• 期：3
• 页码：257-267
• 全文大小：468 KB

文摘

The spherically converging detonation wave was numerically investigated by solving the one-dimensional multi-component Euler equations in spherical coordinates with a dispersion-controlled dissipative scheme. Finite rate and detailed chemical reaction models were used and numerical solutions were obtained for both a spherical by converging detonation in a stoichiometric hydrogen-oxygen mixture and a spherically focusing shock in air. The results showed that the post-shock pressure approximately arises to the same amplitude in vicinity of the focal point for the two cases, but the post-shock temperature level mainly depends on chemical reactions and molecular dissociations of a gas mixture. While the chemical reaction heat plays an important role in the early stage of detonation wave propagation, gas dissociations dramatically affect the post-shock flow states near the focal point. The maximum pressure and temperature, non-dimensionalized by their initial value, are approximately scaled to the propagation radius over the initial detonation diameter. The post-shock pressure is proportional to the initial pressure of the detonable mixture, and the post-shock temperature is also increased with the initial pressure, but in a much lower rate than that of the post-shock pressure.