THE EQUILIBRIUM FLOW OF AN IDEAL DISSOCIATING GAS OVER A CONE,

Abstract

The ordinary differential equations are derived for the axially-symmetric flow over a cone of the Lighthill ideal dissociating gas under thermodynamic equilibrium. By means of trigonometric transformations, the equations are simplified to forms containing only rational functions. The equations are integrated numerically by a fourth order Runge-Kutta method and a program listing in Fortran is included in the appendix. Tables of pressure, temperature, fraction of dissociation, and co-tangent of the local Mach angle on the solid cone boundary are tabulated for free flight at Mach numbers of 8, 10, 12, and 14 in an atmosphere of pure oxygen corresponding to altitudes of 20,063; 32,163; and 47,350 meters and for shocks having a tangent of the cone half angle varying from 0.4 to 1.22. The results are compared with calculations for the ideal perfect gas with a ratio of specific heats = 4/3. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1964
Accession Number
AD0602352

Entities

People

  • F. Edward Ehlers
  • Thomas A. Bray

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Altitude
  • Atmospheres
  • Axisymmetric Flow
  • Boundaries
  • Differential Equations
  • Dissociation
  • Equations
  • Flight
  • Flow
  • Free Flight
  • Mach Number
  • Mathematical Analysis
  • Rational Functions
  • Runge Kutta Method
  • Specific Heat

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Molecular Photonics/Laser Physics