Multidimensional numerical simulations of the outflow of the dense turbulent jet of cryogenic nitrogen into a chamber filled with nitrogen at normal temperature are performed using the homogeneous equilibrium model of the two-phase flow and the new accurate analytical equation of state (EOS) of real gas for nitrogen. The applicability of the new EOS is verified in a wide range of density (from 0 to the liquid density in the triple point) and temperature (from 100 K to 5000 K). The results of calculations are compared with available experimental data on nitrogen density variation in the jets. The satisfactory agreement of the results is obtained. The developed EOS allows the identification of two-phase flow regions and the mass fractions of liquid and gas based on the local instantaneous values of density and temperature in the jet without using the two-fluid flow model.

中文翻译：

---

基于两相流均相平衡模型的超临界和亚临界注入低温氮气的数值模拟

使用两相流的均相平衡模型和新的真实气体精确状态解析方程 (EOS) 对低温氮气的密集湍流射流在常温下流入充满氮气的腔室进行多维数值模拟对于氮气。新型 EOS 的适用性在较宽的密度范围（从 0 到三相点的液体密度）和温度（从 100 K 到 5000 K）得到验证。计算结果与现有的关于射流中氮密度变化的实验数据进行了比较。获得了令人满意的结果。