非均匀气体波动理论中的分段连续配分函数方法
Piecewise continuous partition function method in the theory of wave perturbations of inhomogeneous gas
摘要：
探讨了重力场中稀薄气体中波动扰动的传播问题。从BGK方程出发，采用分段连续的配分函数方法，导出了重力场中分层气体的流体力学型方程组。所得到的方程组推广了任意密度（Knudsen数）的Navier-Stokes方程。对均匀介质的极限情况进行了模型验证。在任意Knudsen数下，所得结果与实验和前人的理论都符合得很好.
英文摘要：
The problem of wave disturbance propagation in rarefied gas in gravity field is explored. The system of hydrodynamic-type equations for a stratified gas in gravity field is derived from BGK equation by method of piecewise continuous partition function. The obtained system of the equations generalizes the Navier-Stokes at arbitrary density (Knudsen numbers). The verification of the model is made for a limiting case of a homogeneous medium. Results are in the good agreement with experiment and former theories at arbitrary Knudsen numbers.
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