Transonic and Nonlinear Flow Research.

Abstract

The research program consists of the investigation of transonic slender body theory and optimization procedures as well as asymptotic methods for wind-tunnel interference in the supercritical regime. For the slender body portion, two areas received attention. In the first, the existence of an unsteady equivalence rule has been verified in which the outer solution is governed by axisymmetric unsteady small disturbance theory subject to an unsteady line source internal boundary condition and far field. As in the steady case, the strength of the line source depends on an inner solution for the potential, which is harmonic in cross planes to the flow. This solution specifies the line source intensity in terms of a rate of change of the cross sectional area distribution in which the unsteady motion of the body surface is taken into account. The second aspect of the research effort deals with optimization of slender lifting wing-body combinations. A restricted class of these shapes has been considered in which the wing span increases monotonically from a common apex with the body. For the wall interference portion of the effort, the method of matched asymptotic expansions is utilized to study the singular perturbation problem relevant to transonic airfoils confined by large height to chord ratio solid walls.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1982
Accession Number
ADA121477

Entities

People

  • Chi‐Chin Wu
  • F. Zeigler
  • J. D. Cole
  • N. D. Malmuth

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aircrafts
  • Airfoils
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Far Field
  • Fluid Dynamics
  • Geometry
  • Mach Number
  • Near Field
  • Parabolic Bodies
  • Pressure Distribution
  • Three Dimensional
  • Two Dimensional
  • Wind Tunnels

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Theoretical Analysis.