Numerical Calculation of Variable Property Flows in Curvilinear Orthogonal Coordinates

摘要

In an earlier communication (dealing with flow in curved pipes) a numerical procedure capable of calculating variable property flows in arbitrary curvilinear orthogonal coordinates was reported. Convective and diffusive base vector variation source terms appearing in the differential momentum equation were tabulated but their derivation was not described. In addition, and because of the cases studied, only brief mention was made with regard to the extra source terms arising in variable property flows. The purpose of this document is to provide a concise derivation of the differential momentum equation which is the basis for the numerical procedure described in a previous work and to tabulate general expressions for all the sources which can arise. From a knowledge of the metric tensor in the curvilinear system of interest the forms of these terms are readily derived from the tables for calculation purposes.