Skip to main content
SpringerLink
Log in
Book cover

Constructive and Computational Methods for Differential and Integral Equations pp 271–288Cite as

Transonic design in two dimensions

  • Conference paper
  • First Online:

  • 374 Accesses

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 430))

Abstract

This paper contains a general description of the method of complex extension and its applications to a variety of two-dimensional transonic design problems. The geometry of the complex characteristics in the hodograph plane is explored and the selection of initial paths for analytic continuation into the supersonic zone is illustrated. The paper contains a section which explains how to obtain the solution near infinity for the various design problems and another about choosing initial data. An example of a compressor blade that was designed by this method is used to illustrate the practical significance of this method.

The work presented in this paper is supported by the U. S. Atomic Energy Commission, Contract AT(11-1)-3077 at the AEC Computing and Applied Mathematics Center, Courant Institute of Mathematical Sciences, New York University.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. F. Bauer, P. Garabedian, A. Jameson, and D. Korn, Handbook of Supercritical Wing Sections, to appear.

    Google Scholar 

  2. F. Bauer, P. Garabedian, and D. Korn, Supercritical Wing Sections, Springer, Berlin, 1972.

    MATH  Google Scholar 

  3. J. J. Kacprzynski, L. H. Ohman, P. R. Garabedian and D. G. Korn, Analysis of the flow past a shock-less lifting airfoil in design and off-design conditions, N.R.C. of Canada Aeronautical Report LR-554, Ottawa, 1971.

    Google Scholar 

  4. D. G. Korn, Computation of Shock-Free Transonic Flows for Airfoil Design, Report NYU-NYO-125 (1969).

    Google Scholar 

  5. E. V. Swenson, Geometry of the complex characteristics in transonic flow, Comm. Pure Appl. Math., 15, (1968), 175–185.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, USA

    D. G. Korn

Authors
  1. D. G. Korn
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

David Lem Colton Robert Pertsch Gilbert

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Korn, D.G. (1974). Transonic design in two dimensions. In: Colton, D.L., Gilbert, R.P. (eds) Constructive and Computational Methods for Differential and Integral Equations. Lecture Notes in Mathematics, vol 430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066274

Download citation

  • DOI: https://doi.org/10.1007/BFb0066274

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07021-4

  • Online ISBN: 978-3-540-37302-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation