A New Formulation of the Multicomponent Transport Equations for Use in Laminar Boundary Layer Problems

摘要

A new formulation of the multicomponent boundary layer problem which is convenient for numerical calculations is developed. This is accomplished by a modification of the usual Chapman-Enskog procedure which is intermediate between that procedure and Grad's thirteen-moment method. The relations which are developed do not involve transport coefficients but rather expressions for the gradients of the physical variables as linear combinations of the fluxes. The complete set of boundary layer equations turn out to be a set of first-order differential equations and a set of algebraic equations which are linear in the fluxes. These expressions contain the averaged cross sections instead of transport coefficients. (Author)