Skip to main content

Turbulent Two-Dimensional Flow Around a Flexible Membrane Airfoil

  • Conference paper
New Results in Numerical and Experimental Fluid Mechanics III

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 77))

  • 690 Accesses

Summary

The two-dimensional, incompressible flow at Reynolds number \( \operatorname{Re} = \frac{{U\infty \cdot c}}{v} = 1.3 \cdot {10^6} \) around an inextensible, flexible membrane airfoil (sail) with varying excess length ε is examined solving the Reynolds-Averaged Navier-Stokes (RANS) equations on grids deforming according to the sail movement within fixed outer boundaries. Results are presented for fully turbulent conditions employing closure models of different degree of complexity in comparison to experimental and analytical results. Good agreement can be found for low angle of attack. However, for higher angle of attack, approaching onset of separation and beyond, the predictive accuracy varies significantly with the representation of turbulence in the presence of strong unsteady phenomena.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Smith, R; Shyy, W. Computation of aerodynamic coefficients for a flexible membrane airfoil in turbulent flow: A comparison with classical theory. The Physics of Fluids,8(12):3346 — 3353, December 1996. University of Florida.

    Google Scholar 

  2. Greenhalgh, S.; Curtiss, H. C.; Smith, B. Aerodynamic Properties of a Two-Dimensional Inextensible Flexible Airfoil. AIAA journal, 22 (7): 865 - 870, July 1984.

    Article  Google Scholar 

  3. Sugimoto, T.; Sato, J. Aerodynamic Characteristics of Two-dimensional Membrane Airfoils. Trans. Japan Soc. Aero. Space Sci., 34(1041: 88 - 100, August 1991.

    Google Scholar 

  4. de Matteis, G; de Socio, L. Nonlinear Aerodynamics of a Two-Dimensional Membrane Airfoil with Seperation. J. Aircraft, 23 (11): 83l - 836, November 1986.

    Google Scholar 

  5. Jackson, P. S. A Simple Model for Elastic Two-Dimensional Sails. AIAA, journal, 21(l):153-155, January 1983. Technical Notes.

    Google Scholar 

  6. Vanden-Broeck, J.-M.; Keller, J. B. Shape of a sail in a flow. The Physics of Fluids, 24 (3): 552 - 553, March 1981.

    Article  MathSciNet  MATH  Google Scholar 

  7. Lien, F.S.; Leschziner, M.A. Upstream Monotonic Interpolation for Scalar Transport with Application to Complex Turbulent Flows. Int. Journal for Numerical Methods in Fluids, 19: 527 - 548, 1994.

    Article  MATH  Google Scholar 

  8. Patankar, S.V. Numerical Heat Transfer and Fluid Flow. McGraw Hill, New York, 1980.

    MATH  Google Scholar 

  9. Obi, S.; Perié, M.; Scheurer. Second Moment Calculation Procedure for Turbulent Flows with Collocated Variable Arrangement. AIAA Journal, 29 (4): 585 - 590, 1991.

    Article  Google Scholar 

  10. Rung, T. Erweiterung von Eingleichungs-Turbulenzmodellen für lokales Nichtgleichgewicht. Internal Report 03/98, TU Berlin, Hermann-Föttinger-Institut für Strömungsmechanik, 1998.

    Google Scholar 

  11. T. Rung and F. Thiele. Computational modelling of complex boundary—layer flows. In Proc. 9th Intern. Symposium on Transport Phenomena in Thermal—Fluid Engineering, pages 321-326, Singapore, 1996.

    Google Scholar 

  12. Bunge, U. Die Behandlung der Strukturmechanik mittels der FV-Methode. Internal Report 01/99, TU Berlin, Hermann-Föttinger-Institut für Strömungsmechanik, April 1999. download: http://www.hodgson.pi.tu-berlin.de/SUB.PAGES/research/papers/POSTSCRIPTFILES/Struktur.ps.gz.

  13. B.G Newman. Aerodynamic Theory for Membranes and Sails. Prog. Aerospace Sci., 24(1): 1–27, 1987.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bunge, U., Rung, T., Thiele, F. (2002). Turbulent Two-Dimensional Flow Around a Flexible Membrane Airfoil. In: Wagner, S., Rist, U., Heinemann, HJ., Hilbig, R. (eds) New Results in Numerical and Experimental Fluid Mechanics III. Notes on Numerical Fluid Mechanics (NNFM), vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45466-3_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-45466-3_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53642-7

  • Online ISBN: 978-3-540-45466-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics