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

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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 N-factor envelope decreases gradually with the increase in the altitude or Mach number.

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, 300072, China

    Yufeng Han & Wei Cao

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  1. Yufeng Han
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  2. Wei Cao
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Correspondence to Wei Cao.

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Citation: HAN, Y. F. and CAO, W. Flat-plate hypersonic boundary-layer flow instability and transition prediction considering air dissociation. Applied Mathematics and Mechanics (English Edition) (2019) https://doi.org/10.1007/s10483-019-2480-6

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)

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Han, Y., Cao, W. Flat-plate hypersonic boundary-layer flow instability and transition prediction considering air dissociation. Appl. Math. Mech.-Engl. Ed. 40, 719–736 (2019). https://doi.org/10.1007/s10483-019-2480-6

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  • DOI: https://doi.org/10.1007/s10483-019-2480-6

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2010 Mathematics Subject Classification

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