KINETIC THEORY OF RARIFIED GASES AND OF HIGHLY HEATED DIATOMIC GASES

Abstract

Chapter I. The stationary flow of a monatomic gas around a sphere is considered. For solving BOLTZMANN-equation in this case, a special iteration-process is introduced. The zeroth step is constructed with the help of an special Ansatz. The Ansatz allows the fulfilling of the demanded boundary-conditions and leads with the help of MAXWELLs transport-equations for a special molecule-model to a system of six non linear partial differential-equations. These equations are not yet solved. Chapter II. Hydrodynamic equations for polyatomic gases using an extended GRAD method are derived. The results are eq ations which can be simplified to equations corresponding to the NAVIER-STOKES equations for monatomic gases. Chapter III. Some numerical results about the development of the flow of a dissociating gas past a shock front are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1961
Accession Number
AD0271032

Entities

People

  • Gunther Ludwig

Tags

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Differential Equations
  • Equations
  • Kinetic Theory
  • Navier Stokes Equations
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics.