分子扩散系数对单原子气体中Shock Wave结构的影响
Effects of Molecular Diffusivity on Shock Wave Structures in Monatomic Gases
摘要：
我们提出了一个完整的调查冲击波剖面描述使用流体力学模型。我们确定了本构方程，这些方程为测试流体动力学方程中涉及的所有参数提供了更好的一致性，以预测马赫数范围内单原子气体的激波结构$1.0-11.0$。本构方程是从先前推导的热力学一致的伯内特制度连续流模型。所产生的流体动力学方程的数值计算，以及经典的使用有限差分整体解决方案（FDGS）计划。与以前的研究主要集中在整个冲击的密度分布相比，在这里，我们还包括温度分布以及整个冲击的熵产生的非负性。所得到的结果表明，以前在双速度（或体积/质量扩散）流体力学得到的改进，更准确的比在流体动力学模型从膨胀方法解决方案的玻尔兹曼方程。
英文摘要：
We present a full investigation into shock wave profile description using hydrodynamics models. We identified constitutive equations that provide better agreement for all parameters involved in testing hydrodynamic equations for the prediction of shock structure in a monatomic gas in the Mach number range $1.0-11.0$. The constitutive equations are extracted from a previously derived thermomechanically consistent Burnett regime continuum flow model. The numerical computations of the resulting hydrodynamic equations along with classical ones are performed using a finite difference global solution (FDGS) scheme. Compared to previous studies that focussed mainly on the density profile across the shock, here we also include temperature profiles as well as non-negativity of entropy production throughout the shock. The results obtained show an improvement upon those obtained previously in the bi-velocity (or volume/mass diffusion) hydrodynamics and are more accurate than in the hydrodynamic models from expansions method solutions to the Boltzmann equation.
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