Transport Theory in Binary Statistical Mixtures

Publisher Website
Google Scholar
Abstract
In this article, we discuss the formulation of a linear transport theory describing particle flow in a random mixture of two immiscible fluids. Topics to be discussed include: (1) a complete formulation in the case of Markov statistics as the description of the fluid mixing; (2) the use of asymptotics to derive various limiting descriptions of the Markov transport model; (3) the use of renewal theory to obtain results for non-Markov statistics in the absence of scattering; (4) a modification to the Markov description to (approximately) treat the non-Markov case when scattering is extant; and (5) a special case of the renewal analysis which leads to a singular eigenfunction problem, in the sense of “Caseology” from neutron transport theory. The paper concludes with a list of open questions in this area of investigation.

This publication has 0 references indexed in Scilit: