Accession Number : AD0259381

Title :   AN ELASTIC COLLISION MODEL FOR THE KINETIC THEORY OF GASES

Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES ENGINEERING CENTER

Personal Author(s) : KOGA,TOYOKI

Report Date : JUN 1961

Pagination or Media Count : 1

Abstract : From investigation of studies of impact phenomena of various types of particles and considering the convenience of kinetic theoretical treatment of gases, a semi-empirical model of elastic collisions is proposed. With respect to encounters of charged particles, binary collision is defined in a new sense. In this model, the collision probability (total cross section) of two particles may be a function of their relative velocity. With respect to a gas composed of two or more types of particles, partitions of momentum and of energy after collisions are plausibly determined, and the conditions which secure the stability of the Maxwell distribution are considered. By this model, analytical treatments of the Boltzmann equation are simplified. The equation may be solved without losing the main characteristics of the pertinent phenomena, even when the state of a gas deviates considerab y from thermal equilibrium. (Author)

Descriptors :   *GASES, *PARTICLE TRAJECTORIES, DISTRIBUTION, ENERGY, NUMERICAL INTEGRATION, KINETIC THEORY, MATHEMATICAL ANALYSIS, PARTICLES

Distribution Statement : APPROVED FOR PUBLIC RELEASE