The Linearized Characteristics Method and its Application to Practical Nonlinear Supersonic Problems

Abstract

The method of characteristics has been linearized by assuming that the flow field can be represented as a basic flow field determined by nonlinearized methods and a linearized superposed flow field that accounts for small changes of boundary conditions. The method has been applied to two-dimensional rotational flow where the basic flow is potential flow and to axially symmetric problems where conical flows have been used as the basic flows. In both cases the method allows the determination of the flow field to be simplified and the numerical work to be reduced to a few calculations. The calculation of axially symmetric flow can be simplified if tabulated values of some coefficients of the conical flow are obtained. The method has also been applied to slender bodies without symmetry and to some three-dimensional wing problems where two-dimensional flow can be used as the basic flow. Both problems were unsolved before in the approximation of nonlinearized flow.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1951
Accession Number
ADA380585

Entities

People

  • Antonio Ferri

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Axisymmetric Flow
  • Bodies
  • Cartesian Coordinates
  • Computational Science
  • Conical Bodies
  • Differential Equations
  • Equations
  • Flow Fields
  • Mach Number
  • Method Of Characteristics
  • Potential Flow
  • Shock Waves
  • Slender Bodies
  • Three Dimensional
  • Three Dimensional Flow
  • Two Dimensional
  • Two Dimensional Flow

Readers

  • Aerodynamics/Aeronautics.
  • Control Systems Engineering.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight