A GENERAL METHOD FOR NUMERICAL INTEGRATION THROUGH A SADDLE-POINT SINGULARITY WITH APPLICATION TO ONE-DEMENSIONAL NONEQUILIBRIUM NOZZLE FLOW

Abstract

A method for integrating numerically through a saddle-point singularity of an ordinary differential equation is presented. The solution of the differential equation is assumed to depend also on the value of a parameter, such as the mass flow. The method is thus applicable to a wide assortment of gas-dynamic problems including one-dimensional nonequilibrium nozzle flow and two-phase nozzle flow. Specific application is made to nonequilibrium nozzle flow, and the results of this application are presented and discussed. The method proved to be numerically accurate without requiring an exceedingly precise estimate for the critical mass flow. The work also includes a modification of a method for calculating approximate equilibrium nozzle flows. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0428563

Entities

People

  • George Emanuel

Organizations

  • Stanford University

Tags

Communities of Interest

  • Cyber
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Blunt Bodies
  • Chemical Reactions
  • Chemistry
  • Computer Programming
  • Differential Equations
  • Geometry
  • Hypersonic Nozzles
  • Hypersonic Wind Tunnels
  • Mach Number
  • Nonequilibrium Flow
  • Nozzles
  • Numerical Integration
  • Specific Heat
  • Temperature Gradients
  • Wind Tunnels

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Systems Analysis and Design