Accession Number : AD0713588

Title :   KINEMATICS OF DIFFUSION, FLUIDS AND PLASMA BY CONTINUOUS MOVEMENT AND FINITE VELOCITIES,

Corporate Author : DESERET TEST CENTER FORT DOUGLAS UTAH

Personal Author(s) : Meyers,Ronald E.

Report Date : 1970

Pagination or Media Count : 15

Abstract : Einstein, Chandrasekhar, and others using Markov processes have derived parabolic differential equations governing physical processes such as Brownian motion, diffusion, and stellar dynamics. Unfortunately, a mathematically admissable limiting process used in these derivations leads to infinite particle velocities. While Einstein and Chandrasekhar realized the drastic nature of the approximations employed in the parabolic formulation, there has been widespread indiscriminate use and generalization of their equations without regard to the fundamental limitations imposed by those approximations. It is believed that the following is the framework of a general theory which provides a systematic, comprehensive, and useful approach to studying phenomena based on particulate motion. The present 'hyperbolic' theory is a modification and generalization of a hyperbolic diffusion model and attempts to represent more accurately the physical process of diffusion. (Author)

Descriptors :   (*KINEMATICS, EQUATIONS OF MOTION), N-BODY PROBLEM, PARTIAL DIFFERENTIAL EQUATIONS, STOCHASTIC PROCESSES, BROWNIAN MOTION, PROBABILITY DENSITY FUNCTIONS, ATMOSPHERIC MOTION, PLASMA MEDIUM, TURBULENCE, NUMERICAL INTEGRATION

Subject Categories : Fluid Mechanics
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE