Skip to main content

Flutter Prediction of a Laminar Airfoil Using a Doublet Lattice Method Corrected by Experimental Data

  • Conference paper
  • First Online:
New Results in Numerical and Experimental Fluid Mechanics X

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 132))

Abstract

In this paper a stability analysis of a laminar airfoil is presented and compared to turbulent flow conditions. The flutter system with the two degrees-of-freedom heave and pitch is introduced. The aerodynamic derivatives due to a pitch motion are identified experimentally and two Doublet Lattice correction methods are used to determine the aerodynamic derivatives due to a heave motion. The correction is applied to the local pressure distributions and includes nonlinearities due to transonic flow as well as transitional effects. The resulting aerodynamic derivatives reflect the differences between laminar and turbulent flow as measured in the experiment. An influence of the mean angle-of-attack on the stability boundary is shown for free transition. A comparison of the flutter boundaries for free and fixed transition exhibits a lower transonic dip for free transition. One-degree-of-freedom flutter is found only for free transition.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Albano, E., Rodden, W.P.: A doublet-lattice method for calculating lift distributions on oscillating surfaces in subsonic flows. AIAA J. 7(2), 279–285 (1969)

    Article  MATH  Google Scholar 

  2. Banavara, N.K., Dimitrov, D.: Prediction of transonic flutter behavior of a supercritical airfoil using reduced order methods. In: Dillmann, A. et al. (eds.) New Results in Numerical and Experimental Fluid Mechanics IX. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 124, pp. 365–373. Springer International Publishing (2014)

    Google Scholar 

  3. Bergh, H., Zwaan, R. J.: A method for estimating unsteady pressure distributions for arbitrary vibration modes from theory and from measured distributions for one single mode. Technical report NLR-TR F.250, Feb 1966

    Google Scholar 

  4. Dietz, G., Schewe, G., Mai, H.: Experiments on heave/pitch limit-cycle oscillations of a supercritical airfoil close to the transonic dip. J. Fluids Struct. 19(1), 1–16 (2004)

    Article  Google Scholar 

  5. Dress, D.A., Mcguire, P.D., Stanewsky, E., Ray, E.J.: High reynolds number tests of the CAST 10–2/DOA 2 airfoil in the Langley 0.3-meter transonic cryogenic tunnel, phase 1. Technical report, May 1983

    Google Scholar 

  6. Fehrs, M.: Influence of transitional flows at transonic mach numbers on the flutter speed of a laminar airfoil. In: Proceedings “IFASD 2013”, Bristol, Great Britain, June 2013

    Google Scholar 

  7. Hebler, A., Schojda, L., Mai, H.: Experimental investigation of the aeroelastic behavior of a laminar airfoil in transonic flow. In: Proceedings "IFASD 2013", Bristol, Great Britain, June 2013

    Google Scholar 

  8. Mai, H., Hebler, A.: Aeroelasticity of a laminar wing. In: Proceedings “IFASD 2011”. Paris, Frankreich (2011)

    Google Scholar 

  9. Palacios, R., Climent, H., Karlsson, A., Winzell, B.: Assessment of strategies for correcting linear unsteady aerodynamics using CFD or experimental results. In: Proceedings "IFASD 2001", Madrid, Spain, June 2001

    Google Scholar 

  10. van Rooij, A.C.L.M., Wegner, W.: Numerical investigation of the flutter behaviour of a laminar supercritical airfoil. In: Dillmann, A. et al. (eds) New Results in Numerical and Experimental Fluid Mechanics IX. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol. 124, pp. 33–41. Springer International Publishing (2014)

    Google Scholar 

  11. VoĂź, R., Thormann, R.: Flutter computations for a generic reference aircraft adopting CFD and reduced order methods. American Institute of Aeronautics and Astronautics (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anne Hebler .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Hebler, A., Thormann, R. (2016). Flutter Prediction of a Laminar Airfoil Using a Doublet Lattice Method Corrected by Experimental Data. In: Dillmann, A., Heller, G., Krämer, E., Wagner, C., Breitsamter, C. (eds) New Results in Numerical and Experimental Fluid Mechanics X. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-319-27279-5_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-27279-5_39

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27278-8

  • Online ISBN: 978-3-319-27279-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics