Multicomponent transport algorithms

the long version

This book presents a general and self-contained theory of iterative algorithms for evaluating transport coefficients of dilute polyatomic gas mixtures, including the Enskog-Chapman procedure with its extension to reactive mixtures, the variational framework for polynomial expansions, the mathematical properties of the linear systems, the singular case of vanishing concentrations, iterative methods with convergence theorems, and explicit, accurate, approximate expressions for all the transport coefficients. This book contains mostly new developments and is written for the broadest audience of potentially interested readers, including engineers, physicists, chemists, numerical modelers, applied mathematicians, and mathematicians. Therefore, every mathematical step is carefully explained and only introductory linear algebra and kinetic theory concepts are needed. The authors made a special effort in presenting the material rigorously and comprehensively, thereby providing a complete source of reference for evaluating multicomponent transport coefficients.