Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (5): 719-736.doi: https://doi.org/10.1007/s10483-019-2480-6

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Flat-plate hypersonic boundary-layer flow instability and transition prediction considering air dissociation

Yufeng HAN, Wei CAO   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, China
  • 收稿日期:2018-07-27 修回日期:2018-11-22 出版日期:2019-05-01 发布日期:2019-05-01
  • 通讯作者: Wei CAO E-mail:caow@tju.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Nos. 11732011, 11672205, and 11332007) and the National Key Research and Development Program of China (No. 2016YFA0401200)

Flat-plate hypersonic boundary-layer flow instability and transition prediction considering air dissociation

Yufeng HAN, Wei CAO   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, China
  • Received:2018-07-27 Revised:2018-11-22 Online:2019-05-01 Published:2019-05-01
  • Contact: Wei CAO E-mail:caow@tju.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Nos. 11732011, 11672205, and 11332007) and the National Key Research and Development Program of China (No. 2016YFA0401200)

摘要: The effects of air dissociation on flat-plate hypersonic boundary-layer flow instability and transition prediction are studied. The air dissociation reactions are assumed to be in the chemical equilibrium. Based on the flat-plate boundary layer, the flow stability is analyzed for the Mach numbers from 8 to 15. The results reveal that the consideration of air dissociation leads to a decrease in the unstable region of the first-mode wave and an increase in the maximum growth rate of the second mode. High frequencies appear earlier in the third mode than in the perfect gas model, and the unstable region moves to a lower frequency region. When the Mach number increases, the second-mode wave dominates the transition process, and the third-mode wave has little effect on the transition. Moreover, when the Mach number increases from 8 to 12, the N-factor envelope becomes higher, and the transition is promoted. However, when the Mach number exceeds 12, the N-factor envelope becomes lower, and the transition is delayed. The Nfactor envelope decreases gradually with the increase in the altitude or Mach number.

关键词: rectangular plates, postbuckling equilibrium path, iteration algorithm, boundary layer, transition prediction, air dissociation

Abstract: The effects of air dissociation on flat-plate hypersonic boundary-layer flow instability and transition prediction are studied. The air dissociation reactions are assumed to be in the chemical equilibrium. Based on the flat-plate boundary layer, the flow stability is analyzed for the Mach numbers from 8 to 15. The results reveal that the consideration of air dissociation leads to a decrease in the unstable region of the first-mode wave and an increase in the maximum growth rate of the second mode. High frequencies appear earlier in the third mode than in the perfect gas model, and the unstable region moves to a lower frequency region. When the Mach number increases, the second-mode wave dominates the transition process, and the third-mode wave has little effect on the transition. Moreover, when the Mach number increases from 8 to 12, the N-factor envelope becomes higher, and the transition is promoted. However, when the Mach number exceeds 12, the N-factor envelope becomes lower, and the transition is delayed. The Nfactor envelope decreases gradually with the increase in the altitude or Mach number.

Key words: rectangular plates, postbuckling equilibrium path, iteration algorithm, boundary layer, air dissociation, transition prediction

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