INFINITELY STRONG SHOCK STRUCTURE IN A BINARY GAS MIXTURE,

Abstract

The problem of infinitely strong shock structure in a binary gas mixture is formulated using a bimodel approximation for each gas constituent. The bimodel consists of a delta function for the hypersonic flow upstream and a nonsingular function for the hot flow downstream. The Boltzmann equations are split into four equations. Under the local Maxwellian approximations for the nonsingular functions and an approximations on the force constants in the molecular interaction the problem is reduced to a numerical integration of three moment equations involving three nondimensional parameters, namely, the mass ratio, the number density ratio, and the cut-off parameter ratio. The behavior of the singular points of the system of three moment equations at plus or minus infinity is analyzed, and a numerical integration is proposed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0695765

Entities

People

  • E. Y. Yu

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Delta Functions
  • Equations
  • Flow
  • Hypersonic Flow
  • Mathematical Analysis
  • Mathematics
  • Numerical Integration

Fields of Study

  • Mathematics
  • Physics

Readers

  • Combustion science or combustion engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight