Solution of the Boltzmann equation by expanding the distribution function with several time and coordinate scales in the enskog series in knudsen parameter
Solution of the Boltzmann equation by expanding the distribution function with several time and coordinate scales in the enskog series in knudsen parameter
复制标题
通过在 knudsen 参数中展开 enskog 级数中具有多个时间和坐标尺度的分布函数来求解 Boltzmann 方程
DOI：
10.1134/1.1620111
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发表时间：
2003
影响因子：
0.7
通讯作者：
A. Semenov
中科院分区：
文献类型：
--
作者：
O. Sinkevich;A. Semenov
分析了在分布函数依赖于慢、快时间和坐标尺度的情况下，求解Boltzmann方程的方法。计算非平衡多尺度分布函数的基本关系式与Chapman-Enskog方法框架中的关系式有很大的不同：传递方程被弛豫过程的贡献所补充。由Boltzmann方程的通解导出的热和动量传递方程包含考虑松弛效应的附加项。能量方程中包含的松弛效应导致了双曲型热传导方程和有限的传热率。在粘性应力张量中，传递方程的牛顿项被松弛项补充。
A method to solve the Boltzmann equation is analyzed in the case when the distribution function depends on slow and fast time and coordinate scales. Basic relationships for calculating the nonequilibrium multiscale distribution function are shown to differ substantially from those found in the framework of the Chapman-Enskog method: the transfer equations are complemented by the contributions of relaxation processes. The heat and momentum transfer equations derived from the general solution to the Boltzmann equation involve additional terms accounting for relaxation effects. The relaxation effects included in the energy equation result in both a hyperbolic heat conduction equation and a finite rate of heat transfer. In the viscous stress tensor, the Newtonian term of the transfer equation turns out to be supplemented by relaxation terms.