A Kinetic Theory Development of the Equations of Motion of a Diatomic Gas.

Abstract

The Liouville equation is solved for a diatomic gas in molecular chaos. Modelling the gas molecule as a rigid rotor yields a Boltzmann type equation in eleven independent variables. Applying Enskog's expansion method of solution to the Boltzmann type equation and substituting the first two terms of the distribution equations produces the equivalent of the Navier Stokes equations in five space. The resulting stress tensor predicts the development of periodic stresses approximately ten orders of magnitude smaller than the shear stresses. Other predictions agree closely with experiment and statistical thermodynamics. Keywords: Statistical Mechanics.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1986
Accession Number
ADA173518

Entities

People

  • William Z. Strang

Organizations

  • Wright Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Angular Momentum
  • Computational Science
  • Energy
  • Equations Of Motion
  • Heat Flux
  • Linear Momentum
  • Mechanics
  • Molecular Mechanics Methods
  • Moment Of Inertia
  • Navier Stokes Equations
  • Physics Laboratories
  • Specific Heat
  • Statistical Mechanics
  • Thermal Conductivity
  • Thermodynamic Properties
  • Total Angular Momentum

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Space