论文标题

多组分混合物的多余时间离散玻尔兹曼建模具有非平衡效应

Multiple-relaxation-time discrete Boltzmann modeling of multicomponent mixture with nonequilibrium effects

论文作者

Lin, Chuandong, Luo, Kai H., Xu, Aiguo, Gan, Yanbiao, Lai, Huilin

论文摘要

为多组分混合物提出了多余时间离散的玻尔兹曼模型(DBM),其中考虑了可压缩,流体动力和热力学非平衡效应。它允许特定的热比和PRANDTL数字可调节,并且适用于低速和高速流体流。从物理方面,DBM除了与多组分Navier-Stokes方程一致,Fick's Law和Stefan-Maxwell扩散方程外,DBM还提供了有关非平衡效应的更多动力学信息。 DBM的物理能力描述了非平衡流动,超出了Navier-Stokes表示,可以研究复杂流中的熵生产机理,尤其是在多组分混合物中。此外,当前的动力学模型被用来研究可压缩的开尔文 - 霍尔莫尔兹不稳定性(KHI)的非平衡行为。发现在动态KHI过程中,对于具有不同导热率和初始温度构型的病例,混合度和流体流量相似。从物理上讲,热传导和温度都对KHI的形成和演变产生了轻微的影响。

A multiple-relaxation-time discrete Boltzmann model (DBM) is proposed for multicomponent mixtures, where compressible, hydrodynamic, and thermodynamic nonequilibrium effects are taken into account. It allows the specific heat ratio and the Prandtl number to be adjustable, and is suitable for both low and high speed fluid flows. From the physical side, besides being consistent with the multicomponent Navier-Stokes equations, Fick's law and Stefan-Maxwell diffusion equation in the hydrodynamic limit, the DBM provides more kinetic information about the nonequilibrium effects. The physical capability of DBM to describe the nonequilibrium flows, beyond the Navier-Stokes representation, enables the study of the entropy production mechanism in complex flows, especially in multicomponent mixtures. Moreover, the current kinetic model is employed to investigate nonequilibrium behaviors of the compressible Kelvin-Helmholtz instability (KHI). It is found that, in the dynamic KHI process, the mixing degree and fluid flow are similar for cases with various thermal conductivity and initial temperature configurations. Physically, both heat conduction and temperature exert slight influences on the formation and evolution of the KHI.

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