Complex Variable Methods

  • Hilary Ockendon
  • Alan B. Tayler
Part of the Applied Mathematical Sciences book series (AMS, volume 43)


The use of a complex potential w to describe incompressible inviscid flows past bodies is discussed in many elementary texts (see for example Milne-Thomson) and will not be repeated here. The class of boundary shapes for which explicit solutions can be found is limited and the methods are indirect. Moreover, many of them may be of little practical value, since small viscous effects would result in flow separation from the body and a dramatic alteration of the streamline pattern. The objective of this chapter is to develop methods which are relevant to problems of flows with small viscosity. We shall restrict attention to free streamline flows and flows past thin wings.


Real Axis Flat Plate Conformal Transformation Hilbert Problem Inviscid Flow 
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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • Hilary Ockendon
    • 1
  • Alan B. Tayler
    • 2
  1. 1.Somerville CollegeOxfordEngland
  2. 2.Mathematical InstituteOxfordEngland

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