Exact Solution for Lifting Surfaces

Abstract

The obstacle which prevented the determination of exact lifting surface solutions was the singularity at the wing tip. This problem has now been solved analytically for the circular wing and thereby, to an extent, for wings with parabolic wing tips in general. The paper reports the analytical results. It describes how numerical solutions for the circular wing can conveniently be calculated if only engineering accuracy is required. Four linearly independent solutions have been determined to very high accuracy and are listed in tables; the tables are short since it is possible to split off the singularity. The samples confirm some expected and provide some unexpected insights into the mechanism of lifting flow.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0748433

Entities

People

  • Peter F. Jordan

Organizations

  • Martin Marietta

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Agreements
  • Air Force
  • Amplitude
  • Aspect Ratio
  • Blood Coagulation Factors
  • Circular Wings
  • Coefficients
  • Engineering
  • Flow
  • Leading Edges
  • Lifting Surfaces
  • Plastic Explosives
  • Pressure Distribution
  • Trailing Edges
  • Two Dimensional
  • Wing Tips

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.