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Some remarks on the structure of compressible potential flow in connection with the hodograph transformation for plane flow

  • J. W. Reyn
Part of the International Union of Theoretical and Applied Mechanics (IUTAM) / Internationale Union für Theoretische und Angewandte Mechanik (IUTAM) book series (IUTAM)

Abstract

The considerations given in this paper try in fact to give arguments in favor of the point of view, that limit line singularities are of fundamental importance for the construction of flow fields of a compressible potential flow. This statement thus opposes the more familiar view, that the occurence of a limit line in a compressible flow causes this flow to be physically impossible and therefore of less interest. It is, on the contrary, the purpose of the present paper to bring forward the conjecture, that a compressible potential flow can only exist through the introduction of limit line singularities. The paper tries to transfer to compressible potential flow theory the point of view familiar in classical hydrodynamics, that a solution can be thought to be determined by its singularities.

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References

  1. [1]
    Bers, L.: Comm. Pure Appl. Math. VII, 82 (1954).Google Scholar
  2. [2]
    Meyer, R. E.: Theory of Characteristics of Inviscid Gas Dynamics. Encyclopedia of Physics, Vol. IX, 262 (1960).Google Scholar
  3. [3]
    Reyn, J. W.: Arch. Rat. Mech. Analysis 6, no. 4, 299–354 (1960).MathSciNetMATHCrossRefGoogle Scholar
  4. [4]
    Reyn, J. W.: Further Investigation of the Hodograph Transformation for Irrotational Conical Flow. Boeing Scientific Research Laboratories, Flight Sciences Laboratory, Flight Sciences Laboratory Report No. 54, Boeing Document D 1–82–0145, December 1961.Google Scholar

Copyright information

© Springer-Verlag OHG., Berlin/Göttingen/Heidelberg 1964

Authors and Affiliations

  • J. W. Reyn
    • 1
  1. 1.Technische Hoogeschool DelftNederland

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