Analysis of Steady, Two-Dimensional Chemically Reacting Nonequilibrium Flow by an Unsteady, Asymptotically Consistent Technique. Volume I. Theoretical Development.

摘要

A method has been developed for solving the equations governing two-dimensional, unsteady, chemically reacting nonequilibrium flow. Subsonic, transonic, and supersonic flow fields can be analyzed using this technique. The steady state solution is obtained as the asymptotic solution to the unsteady equations, with steady flow boundary conditions applied, for large time. Interior mesh points are computed using MacCormack's method. Boundary points are calculated by a reference-plane characteristic scheme. The overall algorithm is inconsistent in time in the treatment of the species continuity equations, but is consistent at the steady state limit. The species continuity equations are integrated by a second-order accurate implicit method. Nonuniform, nonequilibrium conditions may be specified at the nozzle inlet. The chemical kinetics model considers 19 species formed from the elements carbon, hydrogen, oxygen, nitrogen, fluorine, and chlorine, and 48 chemical reactions. Unburned hydrocarbons and a sub-global oxidation reaction for these species is also included in the model. A production-type computer program was developed and used to analyze several problems. (Author)