HIGHER ORDER TERMS FOR THE NAVIER-STOKES EQUATIONS IN THE ANALYSIS OF SHOCK WAVE STRUCTURE,

Abstract

The theoretical reasons underlying the introduction of the so-called bulk viscosity into the Navier-Stokes equations are briefly discussed. It is then pointed out that the higher order kinetic theory approximations attempting to improve the Navier-Stokes equations have not included all of the terms of the proper order because of the assumed form for the expansion of the distribution function, and the fact that the Boltzmann statistics should be modified to account for the non-linear density gradients. It is pointed out that the only term that can be legitimately added to the Navier-Stokes equations is the effect of thermal transpiration as first derived by Maxwell. When this term is correctly added it should be possible to obtain a valid solution for the analysis of shock wave structure. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 13, 1955
Accession Number
AD0605579

Entities

People

  • E. V. Laitone

Organizations

  • TRW Inc.

Tags

DTIC Thesaurus Topics

  • Distribution Functions
  • Equations
  • Kinetic Theory
  • Mathematics
  • Navier Stokes Equations
  • Shock
  • Shock Waves
  • Statistics
  • Viscosity
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)