Accession Number : AD0484001

Title :   THE BHATNAGAR-GROSS-KROOK EQUATION AS AN APPROXIMATION OF THE BOLTZMANN EQUATION. PART II - COMPARATIVELY FEASIBLE APPLICATIONS.

Descriptive Note : Interim rept.,

Corporate Author : POLYTECHNIC INST OF BROOKLYN NY DEPT OF AEROSPACE ENGINEERING AND APPLIED MEC HANICS

Personal Author(s) : Koga, Toyoki

Report Date : APR 1966

Pagination or Media Count : 12

Abstract : In a case of rarefied gas dynamics, where the collision effect is a minor perturbation factor in the result, the B-G-K equation may be a moderate approximation of the Boltzmann equation if we treat the equation properly by paying attention to the following: Since the collision factor is minor in the equation the zeroth approximation of the solution is obtained by solving the Boltzmann equation without the collision integral; it depends predominantly on the initial and boundary conditions, and may deviate considerably from the Maxwell distribution function. (Author)

Descriptors :   (*KINETIC THEORY, PARTIAL DIFFERENTIAL EQUATIONS), (*RAREFIED GAS DYNAMICS, KINETIC THEORY), APPROXIMATION(MATHEMATICS), GASES, STATISTICAL MECHANICS, STATISTICAL FUNCTIONS, COUETTE FLOW, CHARGED PARTICLES, MAGNETIC FIELDS.

Subject Categories : Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE