On the Kernel Function of the Integral Equation Relating the Lift and Downwash Distributions of Oscillating Finite Wings in Subsonic Flow

Abstract

This report treats the kernel function of an integral equation that relates a known or prescribed downwash distribution to an unknown lift distribution for a harmonically oscillating finite wing in compressible subsonic flow. The kernel function is reduced to a form that can be accurately evaluated by separating the kernel function into two parts: a part in which the singularities are isolated and analytically expressed and a nonsingular part which may be tabulated. The form of the kernel function for the sonic case (Mach number of 1) is treated separately. In addition, results for the special cases of Mach number 0 (incompressible case) and frequency of 0 (steady case) are given

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1955
Accession Number
ADA278265

Entities

People

  • Charles E. Watkins
  • Donald S. Woolston
  • Harry L. Runyan

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms
  • Biomedical

DTIC Thesaurus Topics

  • Air Force
  • Bessel Functions
  • Boundary Value Problems
  • Cartesian Coordinates
  • Compressible Flow
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Integral Equations
  • Kernel Functions
  • Mach Number
  • Steady Flow
  • Subsonic Flow
  • Three Dimensional
  • Two Dimensional
  • Two Dimensional Flow
  • United States

Readers

  • Aerodynamics.
  • Fluid Mechanics and Fluid Dynamics.
  • Statistical inference.