A Conformal Mapping Suitable for Problems Involving Interaction Between Given Geometries and Known Far Fields.

Abstract

A conformal transformation formula using Riemann-Stieltjes integrals is derived for use with problems involving the interaction between a given finite-sized geometry and a known far field. The derivative of this transformation is non-singular in the domain considered and tends to one at infinity. A formula is derived for transformation from the unit circle to the exterior of an arbitrarily given continuous curve with bounded variation. A special case of the transformation is very similar to that of Schwarz-Christoffel. Application to the generation of aerofoils gives some fairly flexible formulae of the finite product type. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1984
Accession Number
ADA149050

Entities

People

  • T. Tran-cong

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • Complex Variables
  • Computer Programs
  • Conformal Mapping
  • Contour Integrals
  • Department Of Defense
  • Equations
  • Far Field
  • Geometry
  • Integrals
  • Periodic Functions
  • Real Variables
  • Scattering
  • Trailing Edges
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

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