Calculation of Higher Approximations for Two-Dimensional Compressible Flow by a Simplified Iteration Process

Abstract

The iteration equations for a simplified solution of the nonlinear compressible-flow equation are developed and applied to two profiles, the ellipse and the Kaplan section. Limitations imposed on the solutions by simplifications in the differential equation and the boundary conditions are discussed. The velocities near the midchord, the critical and potential limit free-stream Mach numbers, and the extent of isentropic supersonic regions are calculated to four approximations for the Kaplan section and to six approximations for the ellipse. The development of the iteration equations and the presentation of the results are made in conformity with the Karman transonic similarity law and comparisons are made with other solutions.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1951
Accession Number
ADA380367

Entities

People

  • M. M. Klein
  • W. H. Braun

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Compressible Flow
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Flow
  • Flow Fields
  • Fluid Dynamics
  • Free Stream
  • Mach Number
  • Partial Differential Equations
  • Specific Heat
  • Stagnation Point
  • Supersonic Flow
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flow