A MODEL FOR THE TRANSITION REGIME IN HYPERSONIC RAREFIED GAS DYNAMICS,

Abstract

A new, two-fluid model is presented for the hypervelocity rarefied regime. A set of partial differential moment equations is presented; they are of the same order of difficulty as the conventional gas dynamic equations. Those particles reflected from the surface of the body are considered as the wall fluid, while all scattered and free-stream particles comprise the cold fluid; the assumption being that collisions between wall and cold particles convert wall particles to cold particles. Kinetic models are then constructed for both fluids. To obtain expressions for the absorption and emission terms in the model, the distribution function of each fluid is represented by an expansion in the derivatives of the delta function and the relevant integrations are performed. Although the model does not provide a description of the entire transition between free molecule flow and a fully developed shock wave, the results obtained for the piston problem do give insight into the shock formation.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0431228

Entities

People

  • B. B. Hamel

Organizations

  • General Electric

Tags

DTIC Thesaurus Topics

  • Atmospheres
  • Delta Functions
  • Distribution Functions
  • Equations
  • Fluids
  • Free Stream
  • Gas Dynamics
  • Gases
  • Particles
  • Physics
  • Planetary Atmospheres
  • Rarefied Gas Dynamics
  • Rarefied Gases
  • Shock
  • Shock Waves
  • Transitions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Hypersonics - Hypersonic Flight
  • Hypersonics - Hypersonic Flow