An Alternative Derivation for an Integral Equation for Linearized Subsonic Flow Over a Wing

Abstract

An integral equation for the time dependent linearized subsonic flow over a wing has been derived in a previous report by K. G. Guderley and Maxwell Blair (AD-A 176 684). The present alternative derivation due to Marc H. Williams is presented. The difference lies in the sequence of events. The original derivation was carried out in a coordinate system moving with the wing. Williams' derivation makes the crucial step in a coordinate fixed in the undisturbed air and then carries out a transformation to wing coordinates. In addition, this derivation clarifies the relation between the integral equation for steady and unsteady flow, and derives a formulation based on the Lorentz transform. Keywords: Subsonic flow; Time dependence; Unsteady aerodynamics; Integral equations. (edc)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1989
Accession Number
ADA214140

Entities

People

  • Karl G. Guderley
  • Marc H. Williams
  • Mark R. Lee

Organizations

  • Wright Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aeroelasticity
  • Air Force
  • Classification
  • Computational Fluid Dynamics
  • Computational Science
  • Contour Integrals
  • Equations
  • Fluid Dynamics
  • Integral Equations
  • Mass Flow
  • Mechanical Properties
  • Physics Laboratories
  • Security
  • Steady State
  • Subsonic Flow
  • Turbulent Mixing
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Environmental Remediation and Restoration.