Quasi-one-dimensional numerical study of shock tunnel flows based on cubic equations of state

ZHANG Zhouming; LI Xian; ZHU Yujian; LI Zhufei; GONG Hongming; LUO Xisheng

doi:10.11883/bzycj-2023-0184

Volume 44 Issue 2

Feb. 2024

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ZHANG Zhouming, LI Xian, ZHU Yujian, LI Zhufei, GONG Hongming, LUO Xisheng. Quasi-one-dimensional numerical study of shock tunnel flows based on cubic equations of state[J]. Explosion And Shock Waves, 2024, 44(2): 023201. doi: 10.11883/bzycj-2023-0184

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ZHANG Zhouming, LI Xian, ZHU Yujian, LI Zhufei, GONG Hongming, LUO Xisheng. Quasi-one-dimensional numerical study of shock tunnel flows based on cubic equations of state[J]. Explosion And Shock Waves, 2024, 44(2): 023201. doi: 10.11883/bzycj-2023-0184

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Quasi-one-dimensional numerical study of shock tunnel flows based on cubic equations of state

doi: 10.11883/bzycj-2023-0184

ZHANG Zhouming^1
,,
LI Xian²,
ZHU Yujian^{1, 3
,
,},
LI Zhufei¹,
GONG Hongming²,
LUO Xisheng^{1, 4}

1.
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, Anhui, China
2.
Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan, China
3.
Science and Technology on Scramjet Laboratory, Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan, China
4.
Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Received Date: 2023-05-18
Rev Recd Date: 2023-12-28

Available Online: 2023-12-28

Publish Date: 2024-02-06

Abstract

Abstract

The real gas flows of a reflected high-enthalpy shock tunnel are investigated by quasi-one-dimensional numerical simulation based on cubic equations of state, focusing on the influence of high-pressure real gas effect on the spatio-temporal structure of the full-field flow and the flow parameters in the stagnation zone right before the nozzle throat. In the numerical simulations, the thermochemical non-equilibrium due to high temperature caused by shock waves is considered. By embedding cubic equations of state into gas dynamics relations, theoretical analysis is also performed to find out the mechanism of high-pressure effect on the shock tube flow. It is shown that for shock tunnel flows driven by cold and high-pressure gas, the use of a real gas equation of state that takes into account molecular volume and intermolecular forces can more accurately describe the thermodynamic states of gas and the flow conditions in shock tunnels. The high-pressure real gas effect mainly occurs in the cold driving gas, which increases the local sound speed and hence increases the propagation speed of the incident and reflected rarefaction waves; on the other hand, the high-pressure real gas effect plays a weak role in the driven section where the high-temperature gas effect is significant, while it has little effect on the intensity of the shock wave generated by the shock tube as well as the flow state behind the shock. The increase of rarefaction wave speed changes the intersecting time and space of the wave system, which may alter the order of arrival of the reflected rarefaction wave and the contact surface in the stagnation zone. Under this circumstance, the early arrival of rarefaction wave shortens the effective test time of the shock tunnel. For the tested shock tunnel configuration, the high-pressure real gas effect reduces the effective test time by about 38% under the condition of 150 MPa hydrogen driving 110 kPa nitrogen. Both lengthening of the driver section and using high-temperature driver gas can effectively dissolve the influence of the aforementioned high-pressure effect.
- shock tunnel,
- high-pressure gas effect,
- cubic equation of state,
- quasi-one-dimensional simulation,
- effective test time

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References(35)

References

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