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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2017, Vol. 38 ›› Issue (8): 121055-121055.doi: 10.7527/S1000-6893.2017.121055

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Effects of vibration excitation on shock reflections

PENG Jun1,2, ZHANG Zijian1,2, ZHOU Kai1,2, HU Zongmin1,2, JIANG Zonglin1,2   

  1. 1. State Key Laboratory of High-temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
    2. School of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2016-12-15 Revised:2017-01-04 Online:2017-08-15 Published:2017-03-23
  • Supported by:

    National Natural Science Foundation of China (11672308,11532014)

Abstract:

Steady shock reflections include regular reflection and Mach reflection, which can transit to each other under critical conditions. High-temperature gas effect is inevitable in hypersonic shock reflections. As temperature increases, the vibration excitation of air molecules comes first. Theoretical analysis and quantitative calculation are conducted to study the effects of vibration excitation on shock reflections and the transitions between regular reflection and Mach refection. A thermodynamic model for air with vibration excitation is presented and then compared with the calorically perfect gas model. The influences of vibration excitation on shock relations, on the flow fields in regular reflection and Mach reflection, and on the transition criteria between them are analyzed. The results show that vibration excitation may enlarge the overall profile of the shock polar as compared with the shock polar in the calorically perfect gas. In addition, the difference in the overall polar profiles is amplified significantly for the reflected shock, and may alter the reflection configuration. Regarding the shock reflection transition criteria, vibration excitation may cause increases of both transition angles, i.e., the detachment criterion and von Neumann criterion, and the increment of the former is much larger than the latter.

Key words: shock reflection, vibration excitation, Mach reflection, transition criterion, hypersonic flow

CLC Number: