APPLICATION OF A DISCRETE VELOCITY MODEL TO THE BOLTZMANN EQUATION IN SHEAR FLOWS

Abstract

The application of a simple discrete velocity model to low Mach number Couette and Rayleigh flow is investigated. In the model, the molecular velocities are restricted to a finite set and in this study only eight equal speed velocities are allowed. The Boltzmann equation is reduced by this approximation to a set of coupled differential equations which are shown to be identical in form to those produced when the same approximation is applied to the Krook equation. The fluid velocity and shear stress in Couette flow are in approximate accord with those of Wang Chang and Uhlenbeck and of Lees over the complete range of Knudsen number.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1963
Accession Number
AD0404787

Entities

People

  • James E. Broadwell

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Collisions
  • Couette Flow
  • Differential Equations
  • Distribution Functions
  • Equations
  • Equations Of Motion
  • Flow
  • Government Procurement
  • Knudsen Number
  • Mach Number
  • Molecules
  • Relaxation Time
  • Shear Flow
  • Shear Stresses
  • Space Systems
  • Stresses

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.