
Accession Number : AD0605579
Title : HIGHER ORDER TERMS FOR THE NAVIERSTOKES 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 socalled bulk viscosity into the NavierStokes equations are briefly discussed. It is then pointed out that the higher order kinetic theory approximations attempting to improve the NavierStokes 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 nonlinear density gradients. It is pointed out that the only term that can be legitimately added to the NavierStokes 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