The Conformal Transformation of an Airfoil into a Straight Line and Its Application to the Inverse Problem of Airfoil Theory

Abstract

The straight line into which the airfoil is transformed is the extended chord line of airfoil. Mapping is accomplished by operating directly with the airfoil coordinates. Superposition of solutions is used to obtain a rigorous counterpart of approximate methods of thin-airfoil theory. Numerical examples of application methods to solution of direct and inverse problems are given. Applications to more general types of regions, biplanes and cascades in particular, of airfoils are indicated.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1944
Accession Number
ADA800607

Entities

People

  • William Mutterperl

Organizations

  • Langley Research Center

Tags

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Analytic Functions
  • Boundaries
  • Complex Variables
  • Differential Equations
  • Equations
  • Fourier Series
  • Free Stream
  • Integral Equations
  • Inverse Problems
  • Leading Edges
  • Partial Differential Equations
  • Power Series
  • Pressure Distribution
  • Stagnation Point
  • Trailing Edges
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Aerodynamics.
  • Linear Algebra