关于衍射气相爆轰的自相似性与临界通道宽度问题
On the self-similarity of diffracting gaseous detonations and the critical channel width problem
AI总结：
针对管道爆轰抑制的临界管径问题，本研究结合Whitham几何激波动力学与恒定源激波演化规律，提出二维通道爆轰淬熄的闭式模型，推导临界通道宽度解，与H₂/O₂/Ar爆轰衍射实验及模拟结果高度吻合。
摘要：
抑制管道中传播爆轰波的一种策略是设置突然的面积扩大段，这会使反应区内的气体快速横向发散，从而衰减前沿激波。当管径足够小时，爆轰会衰减为爆燃，激波强度也会衰减至可忽略的程度，这就是所谓的临界管径问题。在本研究中，我们提出了一个预测二维通道内爆轰淬熄的闭式模型。研究表明，将Whitham几何激波动力学与基于Radulescu激波变化方程得到的恒定源维持激波的激波演化规律相结合，能够捕捉横向激波动力学对膨胀角处产生的失效波的响应。爆轰成功向开放空间传播的判据是：失效波产生的横向应变率不超过稳态曲面爆轰的临界应变率。利用He和Clavin得到的临界横向应变率，我们推导出了允许爆轰传播的临界通道开口的闭式解。预测得到的临界通道宽度与我们近期针对H₂/O₂/Ar爆轰衍射开展的实验和模拟结果高度吻合。
英文摘要：
One strategy for arresting propagating detonation waves in pipes is by imposing a sudden area enlargement, which provides a rapid lateral divergence of the gases in the reaction zone and attenuates the leading shock. For sufficiently small tube diameter, the detonation decays to a deflagration and the shock decays to negligible strengths. This is known as the critical tube diameter problem. In the present study, we provide a closed form model to predict the detonation quenching for 2D channels. Whitham's geometric shock dynamics, coupled with a shock evolution law based on shocks sustained by a constant source obtained by the shock change equations of Radulescu, is shown to capture the lateral shock dynamics response to the failure wave originating at the expansion corner. A criterion for successful detonation transmission to open space is that the lateral strain rate provided by the failure wave not exceed the critical strain rate of steady curved detonations. Using the critical lateral strain rate obtained by He and Clavin, a closed form solution is obtained for the critical channel opening permitting detonation transmission. The predicted critical channel width is found in very good agreement with our recent experiments and simulations of diffracting H$_2$/O$_2$/Ar detonations.
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