Skip to main content

Small Disturbance Navier-Stokes Equations: Application on Transonic Two-dimensional Flows Around Airfoils

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

Summary

The objective of this numerical investigation is the evaluation of the small disturbance Naviex-Stokes method FLM-SD.NS for test cases of two-dimensional transonic flow. For this reason the results of a NLR7301 flap-oscillation and a pitching NACA 64A010 airfoil are compared to experimental data. The influence of viscosity is shown by comparison to results of Euler computations while the time effort is judged by comparing with results of unsteady full Navier-Stokes computations.

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. Chakravarthy, S.R.: “High Resolution Upwind Formulations for the Navier-Stokes Equation.” Rockwell Int. Sciense Center, USA, 1988.

    Google Scholar 

  2. Davis, S.S.: “NACA64A010 (NASA AMES MODEL) Oscillatory Pitching”. AGARD Report No.702 Compendium of Unsteady Aerodynamic Measurements, August 1982.

    Google Scholar 

  3. Iatrou, M., Weishāupl, C., Laschka, B.: “Entwicklung eines instationären Navier-Stokes-Verfahrens bei kleinen Störangen für aeroelastische Problemstellungen.”, Technische Universität München, Arbeitsbericht TUM-FLM-2002/09, Abschlussbericht TUMFLM-2003/27.

    Google Scholar 

  4. Kreiselmaier, E.: “Bereclmung instationärer Tragflügelumströmungen auf der Basis der zeiflinearisierten Eulergleichtmgen,” Dissertation, Lehrstuhl für Fluidmechanik, Technisehe Universifät München, 1998.

    Google Scholar 

  5. Laschka, B.: “Unsteady Flows-Fundamentals and Applications,” AGARD Conference Proceedings No. 386, Unsteady Aerodynamics-Fundamentals and Applications to Aircraft Dynamics, Göttingen, FRG, 1985.

    Google Scholar 

  6. Pechloff, A.: “TripleDecomposition of the Two-dimensional Navier-Stokes Equations in Cartesian Coordinates and Linearization for Small Disturbances.” Institutsbericht, Technische Universität München, TUM-FLM-2001/4, 2001.

    Google Scholar 

  7. Pechloff, A., Iatrou, M, Weishäupl, C., Laschka, B.: “The Small Disturbance Naviar-Stokes Equations: Development of an Efficient Method for Calculating Unsteady Air Loads” 13. DGLR-STAB-Symposium, 12.-14. Nov. 2002 published in: Notes on Numerical Fluid Mechanics and Multidiseiplinary Design, Volume 87, NNFM.

    Google Scholar 

  8. Pechloff, A. Laschka, B.: “Efficient Calculation of Unstcady Air Loads with a Small Disturbance Navier-Stokes Method”, ICAS 2004-2.1.3, Yokohama Japan, 29 Aug.-03 Sept. 2004.

    Google Scholar 

  9. Telionis, R,D.: Unsteady Viscous Flows. Springer-Verlag, 1981.

    Google Scholar 

  10. Zwaan R.J.: “NLR 7301 Supercdtical Airfoil Oscillatory Pitching and Oscillating Flap”. AGARD Report No.702 Compendium of Unsteady Aerodynamic Measurements, August 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Iatrou, M., Breitsamter, C., Laschka, B. (2006). Small Disturbance Navier-Stokes Equations: Application on Transonic Two-dimensional Flows Around Airfoils. In: Rath, HJ., Holze, C., Heinemann, HJ., Henke, R., Hönlinger, H. (eds) New Results in Numerical and Experimental Fluid Mechanics V. Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33287-9_58

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-33287-9_58

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33286-2

  • Online ISBN: 978-3-540-33287-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics