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Influence of boundary layer transition on the flutter behavior of a supercritical airfoil

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Abstract

This paper presents a flutter analysis for the supercritical CAST 10-2 airfoil in a flow with free boundary layer transition based on CFD computations with the \(\gamma \)-\(\hbox {Re}_{\theta }\) transition model. The results are compared to fully turbulent results obtained with the SST \(k\)-\(\omega \) turbulence model. Unsteady RANS computations at \(\hbox {Re}_{\rm{c}} = 2 \times 10^{6}\) are used to determine the aerodynamic derivatives. These derivatives are required to identify the flutter boundary for a 2 degree-of-freedom model by a k method. The transonic flutter boundary decreases for a flow with free boundary layer transition compared to a fully turbulent flow in the vicinity of the transonic dip. However, the flutter boundary at subsonic Mach numbers is raised for a transitional flow. In addition, the transitional frequency response is discussed: an aerodynamic resonance in connection with an instability of the transition region is observed and the possibility of a 1 degree-of-freedom flutter for transitional flows is shown.

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Acknowledgments

This work was funded by Deutsches Zentrum für Raumfahrt (DLR) programmatic research in the project ALLEGRA.

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Authors and Affiliations

  1. German Aerospace Center (DLR), Institute of Aeroelasticity, Bunsenstr. 10, 37073, Göttingen, Germany

    Michael Fehrs, Anna C. L. M. van Rooij & Jens Nitzsche

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  1. Michael Fehrs
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  2. Anna C. L. M. van Rooij
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  3. Jens Nitzsche
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Correspondence to Michael Fehrs.

Appendix

Appendix

See Figs. 13, 14, 15 and 16.

Fig. 13
figure 13

Magnitude and phase of the lift coefficient response to pitch: fully turbulent (left), transitional (right)

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Fig. 14
figure 14

Magnitude and phase of the moment coefficient response to pitch: fully turbulent (left), transitional (right)

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Fig. 15
figure 15

Magnitude and phase of the lift coefficient response to heave: fully turbulent (left), transitional (right)

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Fig. 16
figure 16

Magnitude and phase of the moment coefficient response to heave: fully turbulent (left), transitional (right)

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Fehrs, M., van Rooij, A.C.L.M. & Nitzsche, J. Influence of boundary layer transition on the flutter behavior of a supercritical airfoil. CEAS Aeronaut J 6, 291–303 (2015). https://doi.org/10.1007/s13272-014-0147-7

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