Numerical Evaluation by Harmonic Analysis of the epsilon-Function of the Theodorsen Arbitrary-Airfoil Potential Theory

Abstract

Finite trigonometric series is fitted by harmonic analysis as an approximation function to the psi function of the Theodorsen arbitrary-airfoil potential theory. By harmonic synthesis, the corresponding conjugate trigonometric series is used as an approximation to the epsilon function. A set of coefficients of particularly simple form is obtained algebraically for direct calculation of the epsilon values from the corresponding set of psi values. Complete derivation of this process is presented.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1945
Accession Number
ADA800599

Entities

People

  • Irven Naiman

Organizations

  • Langley Research Center

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Aeronautics
  • Coefficients
  • Engineering
  • Equations
  • Fourier Series
  • Harmonic Analysis
  • Integrals
  • Intervals
  • Mathematics
  • Potential Theory
  • Test And Evaluation

Fields of Study

  • Physics

Readers

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  • Mathematical Modeling and Probability Theory.
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