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

  • Yufeng Han
  • Wei CaoEmail author


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.

Key words

air dissociation transition prediction boundary layer 

Chinese Library Classification

O357.4 O354.7 

2010 Mathematics Subject Classification



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  1. [1]
    CHANG, C. L., VINH, H., and MALIK, M. R. Hypersonic boundary-layer stability with chemical reactions using PSE. 28th Fluid Dynamics Conference, Snowmass Village (1994)Google Scholar
  2. [2]
    MACK, L. M. Boundary-Layer Stability Theory, Springer, Berlin Heidelberg (1969)Google Scholar
  3. [3]
    MACK, L. M. Linear stability theory and the problem of supersonic boundary-layer transition. AIAA Journal, 13, 278–289 (1975)CrossRefGoogle Scholar
  4. [4]
    MALIK, M. R. and ANDERSON, E. C. Real gas effects on hypersonic boundary-layer stability. Physics of Fluids A: Fluid Dynamics, 3, 803–821 (1991)CrossRefzbMATHGoogle Scholar
  5. [5]
    HUDSON, M. L., CHOKANI, N., and CANDLER, G. V. Linear stability of hypersonic flow in thermochemical nonequilibrium. AIAA Journal, 35, 958–964 (1997)CrossRefzbMATHGoogle Scholar
  6. [6]
    MA, Y. B. and ZHONG, X. L. Direct numerical simulation of instability of nonequilibrium reacting hypersonic boundary layers. 38th Aerospace Sciences Meeting and Exhibit, Reno, U. S. A. (2000)Google Scholar
  7. [7]
    PRAKASH, A. and ZHONG, X. L. Numerical simulation of planetary reentry aeroheating over blunt bodies with non-equilibrium reacting flow and surface reactions. 47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida (2009)Google Scholar
  8. [8]
    MORTENSEN, C. H. and ZHONG, X. L. Simulation of second-mode instability in a real-gas hypersonic flow with graphite ablation. AIAA Journal, 52, 1632–1652 (2014)CrossRefGoogle Scholar
  9. [9]
    MARXEN, O., IACCARINO, G., and SHAQFEH, E. Hypersonic boundary-layer instability with chemical reactions. 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando (2010)Google Scholar
  10. [10]
    MARXEN, O., IACCARINO, G., and MAGIN, T. E. Direct numerical simulations of hypersonic boundary-layer transition with finite-rate chemistry. Journal of Fluid Mechanics, 755, 35–49 (2014)MathSciNetCrossRefGoogle Scholar
  11. [11]
    MARXEN, O., IACCARINO, G., and SHAQFEH, E. Numerical simulation of hypersonic boundary-layer instability using different gas models. Annual Research Briefs, 2007, 15–27 (2007)Google Scholar
  12. [12]
    MORTENSEN, C. H. and ZHONG, X. L. Real-gas and surface-ablation effects on hypersonic boundary-layer instability over a blunt cone. AIAA Journal, 54, 980–998 (2016)CrossRefGoogle Scholar
  13. [13]
    FAN, M., CAO, W., and FANG, X. J. Prediction of hypersonic boundary layer transition with variable specific heat on plane flow. Science China, 54, 2064–2070 (2011)CrossRefGoogle Scholar
  14. [14]
    JOHNSON, H. B., SEIPP, T. G., and CANDLER, G. V. Numerical study of hypersonic reacting boundary layer transition on cones. Physics of Fluids, 10, 2676–2685 (1998)CrossRefGoogle Scholar
  15. [15]
    FAN, Y., WAN, B. B., HAN, Y. F., and LUO, J. S. Hydrodynamic stability and transition prediction with the chemical equilibrium gas model (in Chinese). Journal of Aerospace Power, 7, 1658–1668 (2016)Google Scholar
  16. [16]
    WAN, B. B., HAN, Y. F., FAN, Y., and LUO, J. S. Effect of transport properties of high-temperature air on boundary layer stability and transition prediction (in Chinese). Journal of Aerospace Power, 10, 188–195 (2017)Google Scholar
  17. [17]
    GUPTA, R. N., YOS, J. M., THOMPSON, R. A., and LEE, K. P. A Review of Reaction Rates and Thermodynamic and Transport Properties for an 11-Species Air Model for Chemical and Thermal Nonequilibrium Calculations to 30 000 K, National Aeronautics and Space Administration, Hampton (1990)Google Scholar
  18. [18]
    MALIK, M. R. Numerical methods for hypersonic boundary layer stability. Journal of Computational Physics, 86, 376–413 (1990)CrossRefzbMATHGoogle Scholar
  19. [19]
    MALIK, M. R. Finite Difference Solution of the Compressible Stability Eigenvalue Problem, NASA Technical Report, National Aeronautics and Space Administration Washington, D. C. (1990)Google Scholar
  20. [20]
    SALEMI, L. and FASEL, H. F. Linearized Navier-Stokes simulation of the spatial stability of a hypersonic boundary layer in chemical equilibrium. 43rd AIAA Fluid Dynamics Conference, Reno (2013)Google Scholar
  21. [21]
    ARNAL, D. Boundary layer transition: predictions based on linear theory. Special Course on Progress in Transition Modelling, Agard Lab, Toulouse (1994)Google Scholar
  22. [22]
    JAFFE, N. A., OKAMURA, T. T., and SMITH, A. M. O. Determination of spatial amplification factors and their application to predicting transition. AIAA Journal, 8, 301–308 (1970)CrossRefzbMATHGoogle Scholar
  23. [23]
    CHEN, F. J., MALIK, M. R., and BECKWITH, I. E. Boundary-layer transition on a cone and flat plate at Mach 3.5. AIAA Journal, 27, 687–693 (1989)CrossRefGoogle Scholar

Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MechanicsTianjin UniversityTianjinChina

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