An Integral Equation for the Linearized Supersonic Flow Over a Wing

Abstract

In the first formulation. the integral equation for linearized steady supersonic flows appears in a form where it is necessary to approach the planform from above or below by a limiting process. In the present report, the problem is transformed analytically in such a manner that this limiting process no longer appears and that the resulting expressions are numerically tractable. It is believed that such a formulation gives more freedom to take the particularities of a given problem into account. The formulation is applied to compute the conical field which arises at the top of an airfoil. A possible numerical approach to the solution of the integral equation in the general case is described, but only in a rough outline.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1988
Accession Number
ADA191408

Entities

People

  • Karl G. Guderley

Organizations

  • University of Dayton

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Air Force
  • Air Force Facilities
  • Coefficients
  • Equations
  • Flow Fields
  • Integral Equations
  • Leading Edges
  • Planform
  • Pressure Distribution
  • Security
  • Shape
  • Square Roots
  • Subsonic Flow
  • Supersonic Flow
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Hypersonics