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Comparative analysis of state-to-state and multi-temperature models for high-temperature air flow behind normal shock waves
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Hui WANG, Ming ZENG*, Xinkui DUAN, Yuhang WANG, Dongfang WANG, Wei LIU
Journal of National Niversity of Defense Technology | 2025, 47(6) : 189 - 198
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Journal of National Niversity of Defense Technology | 2025, 47(6): 189-198
Aeronautical and Astronautical Science and Technology·Materials Science and Engineering
Comparative analysis of state-to-state and multi-temperature models for high-temperature air flow behind normal shock waves
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Hui WANG, Ming ZENG*, Xinkui DUAN, Yuhang WANG, Dongfang WANG, Wei LIU
Affiliations
  • College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China
Published: 2025-12-28 doi: 10.11887/j.issn.1001-2486.24010027
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The StS(state-to-state)model and MT(multi-temperature)model were used to numerically simulate and analyze the high-temperature air flow of 11 chemical species behind normal shock waves.The StS model resolved vibrational levels of neutral molecules and electronic levels of neutral atoms;the MT model distinguished the translational-rotational temperature, vibrational temperatures of neutral molecules, and the electron temperature.Simulation results for velocities ranging from 5 km/s to 11 km/s before the shock front demonstrate that immediately behind the shock wave, due to the dissociation and ionization reactions, the higher vibrational levels of molecules and the higher excited electronic levels of atoms are underpopulated relative to the Boltzmann distribution at the corresponding temperatures.Compared to the StS model, the MT model shows that the excitation of vibrational and electronic energies and the attainment of thermal equilibrium in different energy modes occur later, while chemical reactions also take place later but reach chemical equilibrium earlier.The MT model underpredicts vibrational energy loss from chemical reactions while overpredicting electronic energy loss due to electron-impact ionization.Moreover, obtained derived vibrational temperatures of molecules and electron temperature fail to accurately characterize the nonequilibrium population distributions of particle energy levels.

thermochemical nonequilibrium  /  state-to-state model  /  multi-temperature model  /  normal shock wave  /  hypersonic
Hui WANG, Ming ZENG, Xinkui DUAN, Yuhang WANG, Dongfang WANG, Wei LIU. Comparative analysis of state-to-state and multi-temperature models for high-temperature air flow behind normal shock waves[J]. Journal of National Niversity of Defense Technology, 2025 , 47 (6) : 189 -198 . DOI: 10.11887/j.issn.1001-2486.24010027
Year 2025 volume 47 Issue 6
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doi: 10.11887/j.issn.1001-2486.24010027
  • Receive Date:2024-01-22
  • Online Date:2026-04-16
  • Published:2025-12-28
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  • Received:2024-01-22
Affiliations
    College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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