Complete Solution for Lifting Wings with Parabolic Tips

Abstract

A complete investigation of the solution for lifting wings with parabolic wing tips is presented. All the leading components of the tip pressure singularity are identified. Specific solutions differ from each other by the amplitudes of elements which converge to higher order at the tip; the order of convergence of the specific components also is established. The model used in the analysis is the circular wing in incompressible flow, but the essence of the results is valid for wings of any aspect ratio. For the circular wing, several numerical solutions are given to high accuracy, and several conclusions of immediate technical interest are drawn. As a by-product of the analysis summation formulas for infinite progressions which involve the logarithm were developed.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1972
Accession Number
AD0741883

Entities

People

  • Peter F. Jordan

Organizations

  • Martin Marietta

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Amplitude
  • Aspect Ratio
  • Circular Wings
  • Command And Control
  • Convergence
  • Extrapolation
  • Incompressible Flow
  • Leading Edges
  • Lifting Surfaces
  • Pressure Distribution
  • Shape
  • Three Dimensional
  • Two Dimensional
  • United States
  • Wing Tips

Readers

  • Aerodynamics/Aeronautics.
  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)