A KINETIC MODEL FOR HYPERSONIC RAREFIED GAS FLOW

Abstract

A kinetic model, which is based on an approximation to the complete Boltzmann equation, is developed for the purpose of solving flow problems in the high velocity ratio rarefied gas regime. The approximation consists of substituting appropriate delta-functions for certain portions of the distribution function wherever they appear in a collision integral. The Boltzmann equation reduces to a first order linear inhomogeneous partial differential equation in this approximation, and the detailed intermolecular differential scattering cross section appears explicitly in the inhomgeneous term. The model is applied to the solution of the hypersonic couette flow of a rarefied hard sphere gas. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1961
Accession Number
AD0261468

Entities

People

  • Jacob Enoch

Organizations

  • General Electric

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Couette Flow
  • Delta Functions
  • Differential Equations
  • Distribution Functions
  • Equations
  • Flow
  • Gas Flow
  • Gases
  • Partial Differential Equations
  • Rarefied Gases
  • Scattering Cross Sections

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight