Accession Number : AD0605579

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

Corporate Author : THOMPSON RAMO WOOLDRIDGE INC LOS ANGELES CALIF

Personal Author(s) : Laitone,E. V.

Report Date : 13 SEP 1955

Pagination or Media Count : 9

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)

Descriptors :   (*SHOCK WAVES, MATHEMATICAL ANALYSIS), (*PARTIAL DIFFERENTIAL EQUATIONS, SHOCK WAVES), KINETIC THEORY, GASES, VISCOSITY, THERMAL PROPERTIES, STATISTICS, NUMERICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE