On the Particular Integrals of the Prandtl-Busemann Iteration Equations for the Flow of a Compressible Fluid

Abstract

The particular integrals of the second-order and third-order Prandtl- Busemann iteration equations for the flow of a compressible fluid are obtained by means of the method in which the complex conjugate variables z and z bar are utilized as the independent variables of the analysis. The assumption is made that the Prandtl-Glauert solution of the linearized or first-order iteration equation for the two-dimensional flow of a compressible fluid is known. The forms of the particular integrals, derived for subsonic flow, are readily adapted to supersonic flows with only a change in sign of one of the parameters of the problem.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1950
Accession Number
ADA380529

Entities

People

  • Carl Kaplan

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Air Force
  • Air Force Facilities
  • Analytic Functions
  • Cartesian Coordinates
  • Compressible Flow
  • Differential Equations
  • Equations
  • Flow
  • Integrals
  • Iterations
  • Mach Number
  • Nonlinear Differential Equations
  • Perturbations
  • Subsonic Flow
  • Supersonic Flow
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.

Technology Areas

  • Hypersonics