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Prediction of Airfoil Stall Based on a Modified k − v 2 ¯ − ω Turbulence Model

Author

Listed:
  • Chenyu Wu

    (School of Aerospace Engineering, Tsinghua University, Beijing 100084, China)

  • Haoran Li

    (School of Aerospace Engineering, Tsinghua University, Beijing 100084, China)

  • Yufei Zhang

    (School of Aerospace Engineering, Tsinghua University, Beijing 100084, China)

  • Haixin Chen

    (School of Aerospace Engineering, Tsinghua University, Beijing 100084, China)

Abstract

The accuracy of an airfoil stall prediction heavily depends on the computation of the separated shear layer. Capturing the strong non-equilibrium turbulence in the shear layer is crucial for the accuracy of a stall prediction. In this paper, different Reynolds-averaged Navier–Stokes turbulence models are adopted and compared for airfoil stall prediction. The results show that the separated shear layer fixed k − v 2 ¯ − ω (abbreviated as SPF k − v 2 ¯ − ω ) turbulence model captures the non-equilibrium turbulence in the separated shear layer well and gives satisfactory predictions of both thin-airfoil stall and trailing-edge stall. At small Reynolds numbers ( R e ~ 10 5 ), the relative error between the predicted C L , m a x of NACA64A010 by the SPF k − v 2 ¯ − ω model and the experimental data is less than 3.5%. At high Reynolds numbers ( R e ~ 10 6 ), the C L , m a x of NACA64A010 and NACA64A006 predicted by the SPF k − v 2 ¯ − ω model also has an error of less than 5.5% relative to the experimental data. The stall of the NACA0012 airfoil, which features trailing-edge stall, is also computed by the SPF k − v 2 ¯ − ω model. The SPF k − v 2 ¯ − ω model is also applied to a NACA0012 airfoil, which features trailing-edge stall and an error of C L relative to the experiment at C L > 1.0 is smaller than 3.5%. The SPF k − v 2 ¯ − ω model shows higher accuracy than other turbulence models.

Suggested Citation

  • Chenyu Wu & Haoran Li & Yufei Zhang & Haixin Chen, 2022. "Prediction of Airfoil Stall Based on a Modified k − v 2 ¯ − ω Turbulence Model," Mathematics, MDPI, vol. 10(2), pages 1-24, January.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:272-:d:726017
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