Accession Number : AD0722184

Title :   Truncation Procedure for the Spatially Homogeneous Boltzmann Equation,

Corporate Author : NORTHWESTERN UNIV EVANSTON ILL TECHNOLOGICAL INST

Personal Author(s) : Ward,C. A. ; Mintzer,D.

Report Date : 26 OCT 1970

Pagination or Media Count : 11

Abstract : The usual truncation procedure for coefficient equations is shown to be inconsistent for a certain class of initial-value problems in that it retains terms of one magnitude while neglecting terms of the same or greater magnitude. Moreover, it predicts moments which are strongly dependent on the zero-order function used in the expansion of the distribution function. A truncation procedure is developed for spatially homogeneous (time relaxation) problems which gives rise to moments which are independent of the particular zero-order function used in the expansion; and which, for certain general initial distribution functions, are correct in value and first-derivative both initially and in equilibrium. As an example, this procedure is used to solve the two-temperature single-gas mixture problem. (Author)

Descriptors :   (*STATISTICAL MECHANICS, EQUATIONS OF MOTION), (*GAS FLOW, *KINETIC THEORY), PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, DISTRIBUTION FUNCTIONS, POLYNOMIALS, TRANSPORT PROPERTIES

Subject Categories : Physical Chemistry
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE