An Application of the Method of Lines to the Transonic Airfoil Problem

Abstract

The development and evaluation are presented of a numerical solution to the transonic airfoil problem. The scope is restricted to symmetrical airfoils at zero incidence angle in an inviscid flow field. The small perturbation relationship and the irrotationality condition are selected for the set of governing equations and the set is reduced to a system of ordinary differential equations by the method of lines. Solutions to this system are compared to experimental data on subcritical, critical, and supercritical airfoils and against the exact solutions to the subsonic and supersonic infinite wavy wall.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0753390

Entities

People

  • John R. Mccracken

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Coordinate Systems
  • Differential Equations
  • Engineering
  • Equations
  • Experimental Data
  • Flow Fields
  • Mach Number
  • Partial Differential Equations
  • Pressure Distribution
  • Shock Waves
  • Specific Heat
  • Test And Evaluation
  • Transonic Airfoils
  • Transonic Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.

Technology Areas

  • Hypersonics