一种新型混合气体多松弛动理学模型方程及其验证分析

彭傲平; 吴俊林; 李志辉

doi:10.21656/1000-0887.450175

一种新型混合气体多松弛动理学模型方程及其验证分析

doi: 10.21656/1000-0887.450175

彭傲平^{1, 2},
吴俊林^{1, 2, ,},
李志辉³

1.
中国空气动力研究与发展中心超高速空气动力研究所, 四川绵阳 621000
2.
飞行器流体物理全国重点实验室, 四川绵阳 621000
3.
中国空气动力研究与发展中心, 北京流体动力科学研究中心, 北京 100011

基金项目:

国家自然科学基金 12332013

国家自然科学基金 11902339

详细信息

作者简介:
彭傲平(1984—)，男，副研究员，博士，硕士生导师

通讯作者:
吴俊林(1985—)，男，副研究员，博士(通讯作者. E-mail: wujunlin130@aliyun.com)

中图分类号: O354
计量
- 文章访问数: 83
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- 被引次数: 0
出版历程
- 收稿日期: 2024-06-14
- 修回日期: 2025-03-04
- 刊出日期: 2025-10-01

Numerical Evaluation of a Novel Multi-Relaxation Kinetic Model for Gas Mixture Flows

PENG Aoping^{1, 2},
WU Junlin^{1, 2
, ,},
LI Zhihui³

1.
Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang, Sichuan 621000, P.R.China
2.
National Key Laboratory of Aerospace Physics in Fluids, Mianyang, Sichuan 621000, P.R.China
3.
Science Research Center for Fluid Dynamics, China Aerodynamics Research and Development Center, Beijing 100011, P.R.China

摘要

摘要: 为研究跨流域气体混合物输运现象的流动机理，从气体动理学理论的基本方程Boltzmann方程出发，发展了一种适于混合气体的多松弛碰撞模型方程，并建立了与DSMC方法相适应的碰撞松弛频率表达式.模拟了多组元混合气体一维激波结构问题，与DSMC结果的对比表明：发展的模型方程能较好地反映激波内部混合气体整体及各组元的宏观参数变化过程，能用于模拟和分析混合气体各组元的扩散规律，验证了该多松弛模型方程的有效性和正确性.模拟结果表明：分子质量最小的组元扩散效应最显著，但受其他组元的影响较小，且流动的非平衡效应主要由分子质量最大的组元产生；在激波内部因温度梯度引起的热扩散对分子质量大小更加敏感，同时，组元浓度梯度引起的质量扩散使组元分离，在激波下游产生显著的非平衡效应，且在多组元混合气体中，中等质量分子的加入增大了大质量分子的扩散，加大了分离效应.
- 混合气体 /
- 输运特性 /
- 气体动理论统一算法 /
- 激波结构
Abstract: To study the flow mechanism of the gas mixture transport phenomenon in all flow regimes, a multi relaxation collision model equation suitable for gas mixture was developed out of the Boltzmann equation as the basic equation in the gas kinetic theory, and the expression of the collision relaxation frequency pertinent to the DSMC method was established. Then under the framework of the gas kinetic unified algorithm, a multi-component 1D shock wave structure problem with high particle mass and mole fraction ratios was simulated, and compared with the DSMC results. The comparison shows that, the proposed model equation can simulate the macroscopic parameter changes of the gas mixture and its components in the shock wave, and can analyze the diffusion rules of each component of the gas mixture. The validity and correctness of the multi relaxation model equation were verified. The simulation results indicate that, the diffusion effect of the components with the smallest molecular weight is the most significant, but the effect of other components is relatively small, and the flow non-equilibrium effect mainly comes from the component with the largest molecular weight; the thermal diffusion caused by temperature gradients is more sensitive to molecular mass in shock wave, and the mass diffusion caused by component concentration gradients makes components separate, which produces a significant non-equilibrium effect downstream of shock wave. At the same time, the addition of medium-mass molecules in the multi-component mixed gas increases the diffusion of large-mass molecules and magnifies the separation effect.
- gas mixture /
- transport characteristic /
- gas kinetic unified algorithm /
- shock wave structure

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图 1 不同模型结果的对比

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 1. Comparison of results from different models

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图 2 He-Xe模拟结果对比

Figure 2. Comparison of He-Xe simulation results

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图 3 He-Xe混合气体C_ik变化曲线

Figure 3. C_ik curves for He-Xe

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图 4 He-Xe-Ar模拟结果对比

Figure 4. Comparison of He-Xe-Ar simulation results

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图 5 He-Xe-Ar混合气体C_ik变化曲线

Figure 5. C_ik curves for He-Xe-Ar

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