An improved reactive flow model with thermodynamic consistency is proposed to deal with the detonation hydrodynamics of solid explosives. Based on the assumption that the chemical mixture composed of solid-phase reactants and gas-phase products can arrive at mechanical equilibrium, but cannot arrive at thermal equilibrium, the solid-phase reactants and gas-phase products may possess one pressure and one velocity, but two temperatures or internal energies. With the help of the energy conservation of the mixture and pressure equivalence between the constituents, the conservation equation of internal energy and the evolution equations of the volume fraction for the solid-phase reactants and of pressure for the chemical mixture are derived. Thus, the full governing equations of the proposed detonation model include the conservation equations of mass, momentum, and total energy, and the evolution equation of pressure for the chemical mixture, and the conservation equations of mass and internal energy, and the evolution equation of the volume fraction for the solid-phase reactants. The theoretical analysis shows that there exists a distinct discrepancy between the proposed model and the Zel’dovich–Neumann–Doring detonation model for the steady structure of the detonation wave. The numerical simulation results of typical detonation problems show that the important characteristics of detonation flows can be well captured and also demonstrate that the proposed detonation model of solid explosives is reasonable.

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固体炸药的热力学一致爆炸模型

提出了一种改进的具有热力学一致性的反应流模型来处理固体炸药的爆轰流体力学。基于固相反​​应物和气相产物组成的化学混合物可以达到机械平衡但不能达到热平衡的假设，固相反应物和气相产物可能具有一种压力和一种速度，但有两个温度或内能。借助混合物的能量守恒和组分之间的压力等效性，推导出了内能守恒方程和固相反应物的体积分数和化学混合物的压力演化方程。因此，所提出的爆震模型的完整控制方程包括质量守恒方程，动量和总能量，化学混合物的压力演化方程，质量和内能守恒方程，固相反应物的体积分数演化方程。理论分析表明，所提出的模型与Zel'dovich-Neumann-Doring爆轰模型对于爆轰波的稳定结构存在明显差异。典型爆轰问题的数值模拟结果表明，可以很好地捕捉爆轰流的重要特征，也证明了所提出的固体炸药爆轰模型的合理性。以及固相反应物体积分数的演化方程。理论分析表明，所提出的模型与Zel'dovich-Neumann-Doring爆轰模型对于爆轰波的稳定结构存在明显差异。典型爆轰问题的数值模拟结果表明，可以很好地捕捉爆轰流的重要特征，也证明了所提出的固体炸药爆轰模型的合理性。以及固相反应物体积分数的演化方程。理论分析表明，所提出的模型与Zel'dovich-Neumann-Doring爆轰模型对于爆轰波的稳定结构存在明显差异。典型爆轰问题的数值模拟结果表明，可以很好地捕捉爆轰流的重要特征，也证明了所提出的固体炸药爆轰模型的合理性。