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中国物理学会期刊

电离能下降对高超声速流场的影响

Effect of Ionization Potential Depression on Hypersonic Flow Fields

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  • 高超声速飞行器以马赫数10以上在大气层内飞行时,激波剧烈压缩空气形成等离子体,其中带电粒子间的库仑屏蔽效应会导致电离能下降.该微观物理机制对宏观流场温度、压强等状态参量及等离子体振荡频率等电磁特性的影响,仍需深入研究.本文基于原子能级结构,在温度为0.8-5eV、密度为0.1-20倍海平面大气密度条件下,计算了考虑库仑屏蔽效应的耦合参数,分析了电离能下降对高超声速飞行器驻点区域的影响.结果表明,电离能下降会显著改变离子丰度,进而影响激波后的空气热力学状态.在此基础上,电离能下降通过直接影响正反应Arrhenius方程中的活化能,并借助Saha方程耦合逆反应速率常数,被引入化学非平衡的计算流体力学仿真中.以RAM C-II外形的仿真为例,在50 km高、32Ma飞行速度条件下,电离能下降使激波位置更贴近壁面、激波后温度降低、流场电子密度升高,但对压强及阻力的影响较小.本文阐明了库仑屏蔽效应通过改变离子丰度进而影响流场热力学与电磁特性的微观物理机制,为高超声速等离子体鞘套的精细化建模提供了理论依据.

     

    At hypersonic speeds exceeding Mach 10, the intense compression of air by shock waves generates a high-temperature plasma sheath. In such plasma environments , the Coulomb screening effect among charged particles induces ionization potential depression (IPD). However, how this microscopic mechanism modulates macroscopic flow parameters—such as temperature, density, and pressure—as well as electromagnetic properties including electron density and plasma oscillation frequency, remains insuffciently explored. To address this, the present manucript investigates the IPD effect through theoretical modeling and numerical simulation. First, based on atomic energy level calculations and the local thermodynamic equilibrium (LTE) assumption, we calculate the plasma coupling parameter across a temperature range of 0.8–5 eV and a density range of 0.1–20 times the sea-level atmospheric density. On basis of the coupling parameter, we determine the applicable regimes of the Debye-Hückel (DH) and Stewart-Pyatt (SP) models for the hypersonic environment. Second, integrating these IPD models with the Rankine-Hugoniot relations, we analyze the effect of IPD on the flow characteristics in the stagnation region. The results reveal that IPD significantly alters the ion fraction, thereby modifying the thermodynamic state of the post-shock air. Third, to extend the analysis from equilibrium to non-equilibrium conditions applicable to real flight, we incorporate the IPD effect into Computational Fluid Dynamics (CFD) simulations. Specifically, the activation energy in the forward reaction rate is modified by IPD, while the reverse reaction rate is coupled via the Saha equation for consistency with chemical equilibrium. Using the RAM C-II vehicle configuration as a benchmark case, we conduct numerical simulations at an altitude of 50 km and a velocity of Mach 32. Results show that IPD shifts the shock wave closer to the vehicle surface and increases the electron number density in the wake region. In contrast, the effects on wall pressure and aerodynamic drag are relatively minor. Importantly, the elevated electron density leads to an increase in the plasma oscillation frequency, which directly alters the critical threshold for communication “blackout”. Consequently, neglecting the IPD effect results in an overly conservative prediction of the blackout envelope. This work elucidates the microscopic-to-macroscopic pathway by which Coulomb screening influences flow field thermodynamics and electromagnetic properties, specifically through the modulation of ion abundance and energy deposition patterns. These results provide a theoretical basis and a technical reference for assessing the thermal environments of hypersonic vehicles and modeling plasma sheaths under extreme conditions.

     

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