In this paper we formulate and analyze an elementary model for the propagation of advancing autoignition fronts in reactive co-flow fuel/oxidizer jets injected into an aqueous environment at pressures exceeding the critical point of water. This work is motivated by the experimental studies of autoignition of hydrothermal flames performed at the high pressure laboratory of NASA Glenn Research Center. Guided by experimental observations, we use several simplifying assumptions that allow the derivation of a simple, still experimentally feasible, mathematical model for the propagation of advancing ignition fronts. We analyze the model by means of asymptotic and numerical techniques and discuss feasible regimes of propagation of advancing ignition fronts. We hope that the present study will be helpful for the interpretation of existing experimental data and guiding of future experiments.

中文翻译：

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注入超临界水的层流反应同流射流中推进自燃前沿的基本模型

在本文中，我们制定并分析了一个基本模型，用于在超过水临界点的压力下注入水环境的反应并流燃料/氧化剂射流中前进的自燃前沿的传播。这项工作的灵感来自于美国宇航局格伦研究中心高压实验室进行的热液火焰自燃实验研究。在实验观察的指导下，我们使用了几个简化的假设，可以导出一个简单的、仍然在实验上可行的数学模型，用于推进点火前沿的传播。我们通过渐近和数值技术分析模型，并讨论推进点火前沿传播的可行机制。我们希望本研究有助于解释现有实验数据并指导未来的实验。