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Maximization of the lift/drag ratio of airfoils with a turbulent boundary layer

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Abstract

The problem of seeking the maximum life/drag ratio for airfoils in an incompressible separationless high-Re flow is considered in the turbulent boundary layer approximation. Within the framework of this model, the maximization of the L/D ratio is redwed to the determination of a conditional extremum for a convex functional. An explicit analytical expression for the extremal solution is obtained. The angle-of-attack dependence of the L/D ratio is demonstrated. The global maximum of the L/D ratio is determined. The results are compared with the known data of numerical optimization.

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References

  1. A. N. Kraiko,Variational Problems of Gas Dynamics [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  2. O. Pironeau,Optimal Shape Design for Elliptic Systems, Springer, New York (1984).

    Google Scholar 

  3. G. Yu. Stepanov,Fluid Dynamics of Turbomachinery Cascades [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  4. A. M. Elizarov, N. B. Il’inskii, and A. V. Potashev,Inverse Boundary Value Problems of Aerohydrodynamics [in Russian], Nauka, Moscow (1994).

    MATH  Google Scholar 

  5. R. Eppler,Airfoil Design and Data, Springer, Berlin (1990).

    Google Scholar 

  6. A. M. Elizarov and E. V. Fedorov, "An approach to the optimization of aerodynamic shapes using inverse boundary value problems,"Prikl. Mat. Mekh.,54, 571 (1990).

    MathSciNet  Google Scholar 

  7. A. M. Elizarov and D. A. Fokin, "A design and optimization of airfoils in non-stalling incompressible flow with a prescribed range of the angle of attack,"Int. J. Numer. Meth. Eng.,35, 121 (1992).

    Article  MATH  Google Scholar 

  8. A. M. Elizarov, E. V. Fedorov, and D. A. Fokin, "Variational inverse boundary value problems of subsonic aerodynamics,"Zh. Vychisl. Mat. Mat. Fiz.,33, 958 (1993).

    MATH  MathSciNet  Google Scholar 

  9. L. G. Loitsyanskii,Mechanics of Liquids and Gases, Pergamon Press, Oxford (1966).

    Google Scholar 

  10. R. A. Liebeck, "A class of airfoils designed for high life in incompressible flow,"J. Aircraft,10, 610 (1973).

    Article  Google Scholar 

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Authors
  1. D. A. Fokin
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Additional information

Kazan’. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 177–184, May–June, 1998.

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Fokin, D.A. Maximization of the lift/drag ratio of airfoils with a turbulent boundary layer. Fluid Dyn 33, 443–449 (1998). https://doi.org/10.1007/BF02698197

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  • DOI: https://doi.org/10.1007/BF02698197

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