Volterra's Solution of the Wave Equation as Applied to Three-Dimensional Supersonic Airfoil Problems

Abstract

A surface integral is developed which yields solutions of the linearized partial differential equation for supersonic flow. These solutions satisfy boundary conditions arising in wing theory. Particular applications of this general method are made, using acceleration potentials, to flat surfaces and to uniformly loaded lifting surfaces. Rectangular and trapezoidal plan forms are considered along with triangular forms adaptable to swept-forward and swept-back wings. The case of the triangular plan, form in sideslip is also included. Emphasis is placed on the systematic application of the method to the lifting surfaces considered and on the possibility of further application.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1947
Accession Number
ADA298733

Entities

People

  • Arthur L. Jones
  • Harvard Lomax
  • Max A. Heaslet

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Configurations
  • Air Force
  • Aircrafts
  • Airfoils
  • Delta Wings
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Integral Equations
  • Lifting Surfaces
  • Mathematical Analysis
  • Supersonic Airfoils
  • Supersonic Flow
  • Three Dimensional
  • Wave Equations

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis

Technology Areas

  • Hypersonics