非平衡状态下双原子分子振动态的分布

摘要

为尝试修正Hammerling假设,在仔细分析了非平衡状态下双原子分子振动态的分布特征的基础上，提出了新的分布近似函数.该近似分布函数能很好地体现非平衡状态下双原子分子振动态分布的主要特征，其在离解反应速率的理论计算中的应用也证明是成功的.同时还部分证明了Park的双温模型具有其理论基础.%An attempt is made in the present paper to develop an analytical model to modify the Hammerlings hypothesis in dealing with the vibration modes for diatomic molecules under nonequilibrium states. The characteristics of distribution functions for vibration modes of diatomic molecules undergoing a nonequilibrium relaxation process are studied and a new approximate form of distribution functions is proposed. The calculations of test cases show that the majority of the characteristics of the vibration modes can be represented by the deduced approximate function. The utilization of the formulation on computations of the rate of the N2 dissociation undergoing a nonequilibrium relaxation process has demonstrated to be successful, and the study also partly verify the theory behind Parks two-temperature model.