ON THE NUMERICAL INTEGRATION OF THE NAVIERSTOKES EQUATIONS FOR THE SHOCK STRUCTURE PROBLEM,

Abstract

This report presents the design and results of a machine program for the numerical integration of the Navier-Stokes equations for the shock structure problem for a reasonable realistic Prandtl number and temperature-viscosity relationship. In order to make eventually, a consistent comparision of these results with those obtained from a kinetic theory approach to the same problem, these are taken as implied by the Enskog-Chapman first approximation to the gas viscosity for the Lennard-Jones 6-12 potential, as well as for point-centers-of-force. The program is designed to provide the maximum slope thickness and profiles of the density, velocity, and temperature. The program is designed so that the mathematical character of the solutions may be studied, such as limiting behavior for strong and weak shocks. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1971
Accession Number
AD0422043

Entities

People

  • A. D. Warner
  • Charles Muckenfuss

Organizations

  • General Electric

Tags

DTIC Thesaurus Topics

  • Equations
  • Kinetic Theory
  • Mathematics
  • Navier Stokes Equations
  • Numerical Integration
  • Personality
  • Physical Properties
  • Prandtl Number
  • Thickness
  • Viscosity

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Systems Analysis and Design