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A quasi-one dimensional, nonequlibrium, streamtube model and finite difference computer code has been developed to study nonisentropic supercritical, real gas flows. A system of unsteady Euler equations is integrated to a steady state solution utilizing MacCormack's explicit/implicit numerical scheme. Implcit characteristic boundary conditions are employed at the subsonic inlet to enable aut omatic solution of inlet conditons consistent with the critical mass flow rate. A numerical damping technique for the explicity evaluated reaction rate has been developed such that nonequilibrium flows with large reaction rate coefficients have been solved numerically with significant reduction in computation time.