SHOCK CURVATURE AND GRADIENTS AT THE TIP OF POINTED AXISYMMETRIC BODIES IN NONEQUILIBRIUM FLOW

Abstract

The shock curvature and flow variable gradients at the tip of a pointed body caused by nonequilibrium effects are considered. Coordinates introduced by Chester are used since they offer a convenient way of treating the boundary conditions. The desired functions are obtained by solving numerically a system of linear ordinary differential equations. These equations have a singularity; the nature of the singularity is found analytically, and its numerical treatment is discussed. The specific nonequilibrium effect considered is vibrational relaxation in a pure diatomic gas. Representative results are given for flow of N2 over a cone for a comprehensive range of Mach numbers and cone angles. There is a point analagous to the Crocco point. These results compare favorably with those obtained by South and Newman using an approximate method. Another check is made by comparison with characteristic calculations extrapolated to the origin.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1966
Accession Number
AD0812070

Entities

People

  • Nathan Gerber
  • Raymond Sedney

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Chemical Reactions
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Free Stream
  • Gas Flow
  • Jet Propulsion
  • Mach Number
  • New York
  • Nonequilibrium Flow
  • Physics Laboratories
  • Pressure Gradients
  • Shock Waves
  • Vibrational Relaxation

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.