Some Qualitative Properties of the Riemann Problem in Gas Dynamical Combustion

We study the Chapman–Jouguet (CJ) model and the selfsimilar Zeldovich–von Neumann–Döring (SZND) model in chemically reacting gas flows. We discover some basic relationships among ignition temperatureTi, total chemical binding energyQ, and the adibatic exponentγof polytropic gas. From these relations, we can determine when temperatures along the SZND burning solutions are higher than the ignition temperatureTi. We also study the all possible selfsimilar solutions for the SZND-model. From these results, we can determine when selfsimilar solutions for the CJ-model are the limits of selfsimilar solutions of the SZND model when the reaction rate tends to infinity