A two-phase model of aqueous foam is proposed. It is based on the laws of conservation of mass, momentum, and energy of the phases in accordance with the single-pressure, two-velocity, and two-temperature approximations in the axisymmetric formulation, with account of the interphase drag forces, contact heat transfer, viscoelastic properties, and foam syneresis. The thermodynamic properties of the water and the air are described by the Mie—Gruneisen and Peng—Robinson equations of state, respectively. The model is numerically realized in the OpenFOAM software. The results obtained are in reasonable agreement with the experimental data on the spherical explosion in aqueous foam. The evolution of a spherical shock wave propagating in the aqueous foam is analyzed.

中文翻译：

---

考虑粘弹性和脱水收缩现象对水性泡沫的冲击动力学建模

提出了水性泡沫的两相模型。它基于相的质量、动量和能量守恒定律，符合轴对称公式中的单压力、双速度和双温度近似值，并考虑了相间阻力、接触热转移、粘弹性和泡沫脱水收缩。水和空气的热力学性质分别由 Mie-Gruneisen 和 Peng-Robinson 状态方程描述。该模型在 OpenFOAM 软件中数值实现。获得的结果与水性泡沫中球形爆炸的实验数据具有合理的一致性。分析了在水性泡沫中传播的球形冲击波的演变。