Effects of molecular diffusivity on shock-wave structures in monatomic gases.

Effects of molecular diffusivity on shock-wave structures in monatomic gases.
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分子扩散率对单原子气体中冲击波结构的影响。

DOI:
10.1103/physreve.104.035111
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发表时间:
2021
期刊:
Physical review. E
影响因子:
--
通讯作者:
Reddy LMH
Reddy LMH
中科院分区:
--
文献类型:
--
作者:
Reddy LMH

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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。我们确定的本构方程,提供更好的协议,所有参数参与测试流体动力学方程的预测在马赫数范围内的单原子气体的激波结构。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。采用有限差分整体解(FDGS)格式对所得到的流体动力学方程组和经典方程组进行了沿着数值计算。与以前的研究主要集中在整个冲击的密度分布相比,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(或体积和质量扩散)流体动力学中得到的改进,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更准确。
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. 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 focused 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 bivelocity (or volume and mass diffusion) hydrodynamics and are more accurate than in the hydrodynamic models from expansions method solutions to the Boltzmann equation.
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