LIFTING-LINE THEORY AS A SINGULAR-PERTURBATION PROBLEM,

Abstract

The method of matched asymptotic expansions, recently developed for treating singularperturbation problems, is applied to the flat unswept lifting wing of high aspect ratio. This yields a simplified equivalent of Prandtl's lifting-line theory, with the solution of an integral equation replaced by quadratures. The next approximation is calculated in general terms. Specific application is made to cusped, lenticular, elliptic, and rectangular planforms, and comparison drawn where possible with previous work. Additional non-uniformities at tips and other discontinuities are described, and procedures outlined for their correction. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0426471

Entities

People

  • Milton Van Dyke

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Aspect Ratio
  • Asymptotic Series
  • Discontinuities
  • Equations
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Perturbations
  • Planform

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Fluid Dynamics.
  • Statistical inference.