Small Disturbance Transonic Flows About Oscillating Airfoils and Planar Wings

Abstract

A theory and numerical solution method are presented for the problem of two or three dimensional flow about thin wings undergoing harmonic oscillations. The theory is based on a treatment of the unsteady flow as a small perturbation on the nonlinear steady flow. The coupled governing equations for the steady and unsteady perturbation potentials are of mixed elliptic/hyperbolic type and are solved using the mixed differencing line relaxation techniques of Murman and Cole. The theory and solution method have been generalized to treat subsonic or supersonic freestream flows, solid or porous wall effects and three dimensional flow about planar wings. Calculations demonstrating each of these capabilities are presented. Accuracy of the method for realistic steady and unsteady flows is examined by comparison to more exact numerical results and experimental data. The comparison indicates that the present method provides a useful and efficient inviscid solution. Quantitative differences between the present results and experimental data are attributed primarily to viscous effects, pointing out the importance of such effects for transonic flows.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1975
Accession Number
ADB008124

Entities

People

  • E. D. Albano
  • J. L. Farr Jr.
  • R. M. Traci

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Aerodynamic Forces
  • Air Force
  • Computational Science
  • Computer Programs
  • Control Surfaces
  • Difference Equations
  • Differential Equations
  • Equations
  • Experimental Data
  • Fluid Dynamics
  • Frequency
  • Partial Differential Equations
  • Pressure Distribution
  • Test And Evaluation
  • Three Dimensional
  • Two Dimensional
  • Wind Tunnels

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight