论文标题
旋转爆炸引擎的多尺度物理学：汽车和模量不稳定性
Multi-scale Physics of Rotating Detonation Engines: Autosolitons and Modulational Instabilities
论文作者
论文摘要
我们开发了一个理论框架，该框架可以预测并充分表征旋转爆炸引擎（RDE）中非线性，燃烧波传播的多样性观察结果，包括燃烧脉冲的成核和形成，这些燃烧前界和型号的模型之间的孤子样相互作用，以及型号的hopferf by-hopperiation the the lighterfircation firperiod time fim-fifurcation。在此框架中，模式锁定的结构被归类为自动层，或稳定地传播的非线性波，其中非线性，分散，增益和耗散的本地物理准确平衡。 We find that the global dominant balance physics in the RDE combustion chamber are dissipative and multi-scale in nature, with local fast scale (nano- to microseconds) combustion balances generating the fundamental mode-locked autosoliton state, while slow scale (milliseconds) gain-loss balances determine the instabilities and structure of the total number of autosolitons.通过这种方式，全球多尺度平衡物理学产生了稳定的结构 - 不仅是经典爆炸理论规定的额叶动力学。 RDE燃烧室的实验观测和数值模型在定性方面具有很强的一致性，而没有参数调整。此外，RDE模拟系统的数值延续（计算分叉跟踪）确定，稳定传播脉冲序列的HOPF分叉导致RDE的基本不稳定或波浪的时间周期调制。沿参数空间中的Hopf轨道的分支，存在着一种波 - 对相互作用的连续体，这些相互作用表现出不同强度的孤子相互作用。
We develop a theoretical framework that predicts and fully characterizes the diverse experimental observations of the nonlinear, combustion wave propagation in a rotating detonation engine (RDE), including the nucleation and formation of combustion pulses, the soliton-like interactions between these combustion fronts, and the fundamental, underlying Hopf bifurcation to time-periodic modulation of the waves. In this framework, the mode-locked structures are classified as autosolitons, or stably-propagating nonlinear waves where the local physics of nonlinearity, dispersion, gain, and dissipation exactly balance. We find that the global dominant balance physics in the RDE combustion chamber are dissipative and multi-scale in nature, with local fast scale (nano- to microseconds) combustion balances generating the fundamental mode-locked autosoliton state, while slow scale (milliseconds) gain-loss balances determine the instabilities and structure of the total number of autosolitons. In this manner, the global multi-scale balance physics give rise to the stable structures - not exclusively the frontal dynamics prescribed by classical detonation theory. Experimental observations and numerical models of the RDE combustion chamber are in strong qualitative agreement with no parameter tuning. Moreover, numerical continuation (computational bifurcation tracking) of the RDE analog system establishes that a Hopf bifurcation of the steadily propagating pulse train leads to the fundamental instability of the RDE, or time-periodic modulation of the waves. Along branches of Hopf orbits in parameter space exist a continuum of wave-pair interactions that exhibit solitonic interactions of varying strength.
