Small Disturbance Transonic Flows about Oscillating Airfoils.

Abstract

A theory and numerical solution method are presented for the problem of two-dimensional unsteady transonic flow about thin airfoils undergoing harmonic oscillation. The theory is based on a treatment of the unsteady flow as a small perturbation on the non-linear steady flow. The governing equations for the steady and unsteady perturbation potentials are of mixed elliptic/hyperbolic type and are solved by the mixed differencing line relaxation technique of Murman and Cole. Detailed steady and unsteady calculations are performed and compared when possible to available experimental data. The solution procedure is found to be highly efficient and promises further improvements in efficiency through the use of extrapolation schemes. Also the method can be generalized in a straightforward manner to perform calculations with supersonic freestreams and three-dimensional finite wing calculations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1974
Accession Number
AD0922797

Entities

People

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

Tags

DTIC Thesaurus Topics

  • Efficiency
  • Equations
  • Experimental Data
  • Extrapolation
  • Flow
  • Fluid Flow
  • Mathematics
  • Oscillation
  • Perturbations
  • Steady Flow
  • Three Dimensional
  • Transonic Flow
  • Two Dimensional
  • Unsteady Flow

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight