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Structural Instability of Inviscid Transonic Channel Flow

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Abstract

Transonic flow past a step located on the lower wall of a channel and modeling the airfoil is considered. The stability of stationary flow to small changes in the Mach number at the outlet of the channel is investigated numerically. The existence of special regimes in which flow is unstable, i.e., insignificant perturbations of the boundary conditions cause a qualitative change in its structure, has been established.

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REFERENCES

  1. W. Pfenninger, J. Viken, C. S. Vemuru, and G. Volpe, All Laminar Supercritical LFC Airfoils with Natural Laminar Flow in the Region of the Main Wing Structure, AIAA Paper No. 86-2625 (1986).

  2. A. Jameson, Airfoils Admitting Non-Unique Solutions of the Euler Equations, AIAA Paper No. 91-1625 (1991).

  3. A. G. Kuz'min, Boundary Value Problems for Transonic Flow, John Wiley and Sons, Chichester (2002).

    Google Scholar 

  4. A. V. Ivanova, Influence of the curvature of an airfoil on the structure of transonic flow, Inzh.-Fiz. Zh., 75, No. 6, 104-108 (2002).

    Google Scholar 

  5. A. G. Kuz'min, Interaction of a shock wave with the sonic line, in: Proc. Symp. "Transsonicum IV", Kluwer Academic Publishers, Dordrecht (2003), pp. 182-187.

    Google Scholar 

  6. C. A. J. Fletcher, Computational Techniques for Fluid Dynamics[Russian translation], Nauka, Moscow (1990).

    Google Scholar 

  7. S. Eidelman, P. Colella, and R. P. Shreeve, Application of the Godunov Method and Its Second-Order Extension to Cascade Flow Modeling, AIAA Paper No. 83-1941 (1983).

  8. A. I. Kotov and A. G. Kuz'min, Structure of transonic flow with weak shock waves in the local supersonic region, Vestn. SPbGU, Ser. 1, Issue 3, 87-91 (2000).

  9. J. Y. Yang, Uniformly second-order-accurate essentially nonoscillatory schemes for the Euler equations, AIAA J., 28, 2069-2076 (1990).

    Google Scholar 

  10. M. M. Hafez and W. H. Guo, Some anomalies of numerical simulation of shock waves, Pt I: Inviscid flows, Comput. Fluids, 28, Nos. 4-5, 701-719 (1999).

    Google Scholar 

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Authors and Affiliations

  1. National Academy of Sciences of Belarus, A. V. Luikov Heat and Mass Transfer Institute, 15 P. Brovka Str., Minsk, 220072, Belarus

    A. V. Ivanova

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  1. A. V. Ivanova
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Ivanova, A.V. Structural Instability of Inviscid Transonic Channel Flow. Journal of Engineering Physics and Thermophysics 76, 1262–1265 (2003). https://doi.org/10.1023/B:JOEP.0000012029.73148.b7

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  • DOI: https://doi.org/10.1023/B:JOEP.0000012029.73148.b7

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