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

PENG Aoping; WU Junlin; LI Zhihui

doi:10.21656/1000-0887.450175

Volume 46 Issue 10

Oct. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(10): 1245-1255

PENG Aoping, WU Junlin, LI Zhihui. Numerical Evaluation of a Novel Multi-Relaxation Kinetic Model for Gas Mixture Flows[J]. Applied Mathematics and Mechanics, 2025, 46(10): 1245-1255. doi: 10.21656/1000-0887.450175

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

doi: 10.21656/1000-0887.450175

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

Funds:

The National Science Foundation of China(12332013

11902339)

Received Date: 2024-06-14
Rev Recd Date: 2025-03-04

Available Online: 2025-11-13

Abstract

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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References(22)

References

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