ERROR ANALYSIS OF THE LINEARIZED METHOD OF CHARACTERISTICS FOR NONEQUILIBRIUM FLOW

Abstract

The pressure on an infinite sinusoidal wall in steady two-dimensional supersonic flow of an inviscid gas in vibrational or chemical nonequilibrium is obtained by the linearized method of characteristics and compared to the analytical solution of the linearized equations previously obtained by Vincenti. The system of ''frozen'' characteristics is used. At near equilibrium conditions the error in the method of characteristics is due entirely to the error in integrating the rate equation along the streamlines and can be made arbitrarily small by decreasing the size of the characteristic net. There appears to be no approximate criteria for reducing the error at near-equilibrium conditions by switching over to the system of equilibrium characteristics which are applicable to the entire flow field.

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Document Details

Document Type
Technical Report
Publication Date
May 18, 1962
Accession Number
AD0296205

Entities

People

  • A.g. Hammitt
  • J.t. Lee Jr.

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • California
  • Contracts
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Flow
  • Flow Fields
  • Free Stream
  • Government Procurement
  • Heat Capacity
  • Method Of Characteristics
  • Nonequilibrium Flow
  • Pressure Distribution
  • Space Systems
  • United States

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight
  • Hypersonics - Hypersonic Flow