Skip to main content

Steady Supercritical Flow Past Ellipses

  • Conference paper
Symposium Transsonicum II
  • 183 Accesses

Abstract

Within the past 5 years, numerical methods applicable to transsonic flow past an airfoil have been extensively investigated. Approaches for calculating a steady, two-dimensional, inviscid transsonic flow field may be roughly divided into three classes: finite difference techniques, hodograph methods, and semi-analytical techniques.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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. Murman, E. M., Cole, J. D.: Calculation of Plane Steady Transonic Flows, AIAA J. 9, 1, 114–121 (1971).

    Article  MATH  ADS  Google Scholar 

  2. Nieuwland, G. Y.: Transonic Potential Flow around a Family of Quasi-Elliptical Aerofoil Sections, NRL TR T. 172, National Aerospace Laboratory, Amsterdam, The Netherlands, July, 1967.

    Google Scholar 

  3. Boerstoel, J. W.: A Survey of Symmetrical Transonic Potential Flows around Quasi-Elliptic Aerofoil Sections, NRL TR T. 136, National Aerospace Laboratory, Amsterdam, The Netherlands, January, 1967.

    Google Scholar 

  4. Liskovets, O. A.: The Method of Lines (A Review), Differentsial’nye Uravneniya 1, 12, 1662–1678 (1965).

    Google Scholar 

  5. Gilinskii, S. M., Telenin, G. F., Tinyakov, G. P.: A Method for Computing Supersonic Flow around Blunt Bodies, Accompanied by a Detached Shock Wave, NASA TT F-297.

    Google Scholar 

  6. Chushkin, P. I.: Subsonic Flow of a Gas Past Ellipses and Ellipsoids, Vychislitel’naia Matematika 2, 20–44 (1958).

    Google Scholar 

  7. Holt, M., Masson, B. S.: The Calculation of High Subsonic Flow Past Bodies by the Method of Integral Relations, Proc. Second Int. Conf. on Numerical Methods in Fluid Mechanics, Vol. 8, Lecture Notes in Physics, Springer-Verlag, Berlin (1971), pp. 243–251.

    Google Scholar 

  8. Holt, M., Ndefo, E. D.: A Numerical Method for Calculating Steady Unsymmetrical Supersonic Flow Past Cones, J. Comp. Phys. 5, 3, 463–486 (1970).

    Article  MATH  ADS  Google Scholar 

  9. Fletcher, C. A. J.: Supersonic Flow About Cones at Large Angles of Attack, Proc. 4th Int. Conf. on Numerical Methods in Fluid Dynamics, Springer-Verlag, Berlin (1975).

    Google Scholar 

  10. Abramowitz, M., Stegun, I. A.: Handbook of Mathematical Functions, Applied Mathematics Series #55, National Bureau of Standards, June 1964, p. 914.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag, Berlin/Heidelberg

About this paper

Cite this paper

Gross, M.B., Holt, M. (1976). Steady Supercritical Flow Past Ellipses. In: Oswatitsch, K., Rues, D. (eds) Symposium Transsonicum II. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81005-3_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-81005-3_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81007-7

  • Online ISBN: 978-3-642-81005-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics