Accession Number : AD0267035

Title :   SOME SOLUTIONS OF THE BOLTZMANN EQUATION

Corporate Author : WISCONSIN UNIV MADISON THEORETICAL CHEMISTRY INST

Personal Author(s) : OFFERHAUS,M.J.

Report Date : 06 NOV 1961

Pagination or Media Count : 1

Abstract : One-particle velocity distribution functions for a dilute gas, are found by solving the Boltzmann equation as an initial value problem. The departure of the distribution from the corresponding normal solution is developed in a series, each term being subject to relaxational decay. The pace of this process, called the kinetic stage, is set by the inver es of the lowest positive eigenvalues of the linearised collision operator O, which serve as relaxation times. During the hydrodynamical stage which follows, the inverse eigenvalues of O act as coefficients in the distribution function. he transition from the kinetic to the hydrodynamical stage is marked by the establishment of equilibrium between the effects of streaming and of collisions on the transport currents. During the hydrodynamical development, these currents retain stationary values proportional to the existing gradients of mean velocity and temperature. ( uthor)

Descriptors :   *HYDRODYNAMICS, *QUANTUM THEORY, *REACTION KINETICS, *TRANSPORT PROPERTIES, DIFFERENTIAL EQUATIONS, GASES, INTEGRAL EQUATIONS, OPERATORS (MATHEMATICS), RELAXATION TIME

Distribution Statement : APPROVED FOR PUBLIC RELEASE