ON THE STRUCTURE OF SHOCK WAVES IN MONATOMIC GASES

Abstract

A study was made of the structure of plane, steady shock waves in a neutral monatomic gas using the Boltzmann equation of the kinetic theory of gases and considering the molecules to be rigid elastic spheres. Two collision models are considered: In one model the postulate of a Maxwellian distribution of the lateral components of the molecular velocity is used and the kinetic model of Krook applied to the resulting collision integral thus reducing the Boltzmann equation to a linear form in the longitudinal velocity distribution function for which the corresponding transport equations are also derived; the second model uses the Boltzmann equation and the associated equations of transfer. As in the original Krook kinetic model, conservation of particle number, momentum and energy are also ensured at each collision for the present modified kinetic model. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1962
Accession Number
AD0278220

Entities

People

  • S.m. Ramachanda

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Collisions
  • Distribution Functions
  • Equations
  • Integrals
  • Kinetic Theory
  • Mathematics
  • Molecules
  • Momentum
  • Particles
  • Shock
  • Shock Waves
  • Waves

Fields of Study

  • Mathematics
  • Physics

Readers

  • Fluid Dynamics.
  • Molecular Photonics/Laser Physics