STATE-TO-STATE NONEQUILIBRIUM ROTATIONAL KINETICS OF NITROGEN BEHIND A STRONG SHOCK WAVE

STATE-TO-STATE NONEQUILIBRIUM ROTATIONAL KINETICS OF NITROGEN BEHIND A STRONG SHOCK WAVE
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强冲击波背后氮的状态间非平衡旋转动力学

DOI:
10.2514/6.2002-3217
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发表时间:
2002
期刊:
影响因子:
3.5
通讯作者:
T. Abe
T. Abe
中科院分区:
工程技术3区
文献类型:
--
作者:
K. Fujita;T. Abe

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为了研究强冲击波后紧邻区域分子氮的非平衡转动动力学,通过对双分子碰撞的准经典轨线(QCT)分析,在较宽的平动温度范围内计算了转动态 - 态以及离解速率系数。采用比林(Billing)经验公式作为N₂ - N₂相互作用的分子间势能,而将电子态X的RKR势能用作每个分子的核间势能。分子的转动、振动和离解动力学采用经典方法处理,而转动 - 振动能级则通过量子力学计算确定。将计算得到的态 - 态速率系数与拉恩(Rahn)经验公式计算得到的结果进行比较,表明在高于3000 K的高温范围(该公式在此温度范围尚未经过实验验证)内,拉恩公式高估了态 - 态速率。为了将拉恩公式的适用范围扩展到更高温度范围,对其进行了修正。离解速率系数以解析形式总结,并通过与广泛使用的阿累尼乌斯型离解速率进行比较,依据平衡条件下的总体离解速率进行了验证。最后,将态 - 态和离解速率系数应用于非平衡转动态 - 态动力学的计算。
In order to investigate the nonequilibrium rotational kinetics of molecular nitrogen immediately behind the strong shock wave, the rotational state-to-state and dissociation rate coefficients have been calculated over a wide range of the translational temperature by means of the quasi-classical trajectory (QCT) analysis of bimolecular collisions. The empirical formula of Billing is used as the intermolecular potential of N2–N2 interaction, while the RKR potential of the electronic state X is used as the internuclear potential of each molecule. Dynamics of the molecular rotation, vibration, and dissociation is treated classically, whereas the rotationalvibrational energy levels are determined in the quantum mechanical calculation. Comparison of the computed state-to-state rate coefficients with those calculated by Rahn’s empirical formula shows that Rahn’s formula overestimates the state-to-state rate in the high temperature range above 3,000 K where the formula has not been verified experimentally. A modification is introduced to Rahn’s formula for the purpose of extending its applicability to the higher temperature range. The dissociation rate coefficients are summarized in an analytical form, and verified in terms of the bulk dissociation rate in the equilibrium condition by comparison with the Arrhenius-type dissociation rate widely used. Finally, the state-to-state and dissociation rate coefficients are applied to computation of the nonequilibrium rotational state-to-state kinetics.
DOI: --
发表时间: 2008
期刊:
影响因子: --
作者:
Yamada;G.
通讯作者: G.