Kinetic modeling of rarefied molecular gas dynamics

ZENG Jianan; LI Qi; WU Lei

doi:10.7638/kqdlxxb-2021.0378

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Kinetic modeling of rarefied molecular gas dynamics

更新时间：2026-05-28

- Kinetic modeling of rarefied molecular gas dynamics
- Vol. 40, Issue 2, Pages: 1-30(2022)
- 作者机构：
  
  南方科技大学力学与航空航天工程系,深圳,518055
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2021.0378
  CLC： O356;V211.25
- Published：2022
- 稿件说明：
移动端阅览
曾嘉楠, 李琪, 吴雷. 分子气体稀薄效应的动理学建模[J]. 空气动力学学报, 2022, 40(2): 1−30.

ZENG Jianan, LI Qi, WU Lei. Kinetic modeling of rarefied molecular gas dynamics[J]. 2022, 40(2): 1-30.
曾嘉楠, 李琪, 吴雷. 分子气体稀薄效应的动理学建模[J]. 空气动力学学报, 2022, 40(2): 1−30. DOI： 10.7638/kqdlxxb-2021.0378

ZENG Jianan, LI Qi, WU Lei. Kinetic modeling of rarefied molecular gas dynamics[J]. 2022, 40(2): 1-30. DOI： 10.7638/kqdlxxb-2021.0378.

摘要

稀薄气体效应，是指气体在特征尺度与其分子平均自由程相当的系统中流动时出现的非平衡效应。相比于单原子气体，分子气体（每个气体分子包含两个及以上原子）流动因同时具有转动、振动等多种自由度的非平衡过程，其稀薄效应更为复杂。分子气体稀薄效应在航空航天、微机电系统和页岩气开采等民生、科技领域广泛存在，而描述该效应的动理学模型与数值模拟方法尚不成熟。本文从单原子气体与玻尔兹曼方程出发，介绍气体动理学建模的相关研究现状，针对分子气体特性详细讨论气体弛豫过程与输运系数的关系。针对典型的稀薄气体流动验证常用的模型方程的精度，并指出直接模拟蒙特卡罗方法在分子气体稀薄流动应用中存在的问题，即在体积黏性确定的情况下无法指定热流弛豫速率及恢复热导率。随后针对此问题，使用吴模型量化研究该弛豫速率在分子气体稀薄流动模拟中导致的宏观量的不确定性，并讨论从分子动力学模拟和瑞利-布里渊散射实验中减小甚至消除不确定性的方法。本文对涉及化学反应的稀薄气体流动建模有指导意义。

Abstract

The rarefaction effects arise when the mean free path of gas molecules is comparable to the characteristic flow length. Compared to monatomic gas

the dynamics of rarefied molecular gas

which consists of two or more atoms in one gas molecule

is more complicated

due to the additional non-equilibrium effects in the rotational and vibrational motions. As the major constituent in the atmosphere of Earth and Mars

rarefied molecular gas dynamics has strong applications in aerospace science

micro-electro-mechanical system

shale gas extraction

and so on. However

the corresponding models and simulation methods are not sophisticated. Starting from the monatomic gas and the Boltzmann equation

we review the development of the kinetic modeling of rarefied gas and the essential connection between the transport coefficients and relaxation processes. Then

we focus on the relaxation process and transport coefficients of molecular gas

and introduce typical kinetic models with the systematic assessment of their accuracy. Meanwhile

we discuss the defect of direct simulation Monte Carlo method in the modeling of rarefied molecular gas

i.e.

it cannot specify the thermal relaxation rates (hence cannot recover the thermal conductivities) when the bulk viscosity is determined. Finally

we use the Wu model to quantify the uncertainties

and discuss how to reduce or even eliminate the uncertainties based on the data from the molecular dynamics simulation and Rayleigh-Brillouin scattering experiment. This present article is instructive for the modeling of rarefied gas flows involving chemical reactions.

关键词

Keywords

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