气体动力学方程中的质量扩散效应
A mass diffusion effect in gas dynamics equations
摘要：
在目前的工作中，我们提出了一个理论，在传统的气体动力学方程的附加质量扩散效应。我们发现，这种效果出现作为一个均匀化的时间限制校正，当确定性的相互作用过程中的实际气体分子被替换为一个简化的随机相互作用过程与玻尔兹曼方程的一致性。对于由硬球随机散射模型或采用Lennard-Jones势的随机分子偏转模型表示的简化随机相互作用过程，我们计算了一些单原子和多原子气体的Euler、Navier-Stokes和Grad方程中的校正扩散系数的估计。
英文摘要：
In the current work we propose a theory for an additional mass diffusion effect in the conventional gas dynamics equations. We find that this effect appears as a homogenization time limit correction, when the deterministic interaction process of the real gas molecules is replaced with a simplified random interaction process for consistency with the Boltzmann equation. For the simplified random interaction processes represented by either a hard sphere random scattering model, or by a model which employs the Lennard-Jones potential for random molecular deflections, we compute the estimates of the corrective diffusion coefficient in the Euler, Navier-Stokes and Grad equations for some monatomic and polyatomic gases.
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