SOLUTION OF THE TIME-DEPENDENT NAVIER-STOKES EQUATIONS FOR THE FLOW OF DISSOCIATING GAS OVER A CIRCULAR CYLINDER.

Abstract

In the present investigation, the authors have extended their earlier work on the time-dependent Navier-Stokes equations to include the effects of diffusion and finite rates of chemical reactions for a nonequilibrium gas mixture. The governing system of nonlinear partial differential equations utilized includes the conservation of mass, momentum, energy and diffusing species, with temperature dependent transport properties and chemical reaction rates. These equations have been utilized in cylindrical coordinates to calculate the time dependent flow field which is formed when a planar shock wave is accelerated toward the cylinder by a planar piston. For the free stream Reynolds number (31.5) and Mach number (2.2) selected for the sample computations, results are presented for the variation of the radial and tangential components of velocity, the density, the temperature and the mass fraction of nitrogen atoms as a function of position and time. The motion of the sonic surface enveloping the cylinder is also shown. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 10, 1967
Accession Number
AD0660037

Entities

People

  • P. Gordon
  • S. M. Scala

Organizations

  • General Electric

Tags

DTIC Thesaurus Topics

  • Chemical Reactions
  • Differential Equations
  • Equations
  • Flow
  • Flow Fields
  • Free Stream
  • Mach Number
  • Navier Stokes Equations
  • Partial Differential Equations
  • Payload
  • Reynolds Number
  • Shock Waves
  • Transport Properties

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.