Some Qualitative Properties of the Riemann Problem in Gas Dynamical Combustion

✍ Scribed by Cheng-Hsiung Hsu; Song-Sun Lin

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 404 KB
• Volume: 140
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.1997.3304

✦ Synopsis

We study the Chapman Jouguet (CJ) model and the selfsimilar Zeldovich von Neumann Do ring (SZND) model in chemically reacting gas flows. We discover some basic relationships among ignition temperature T i , total chemical binding energy Q, and the adibatic exponent # of polytropic gas. From these relations, we can determine when temperatures along the SZND burning solutions are higher than the ignition temperature T i . 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.

1997 Academic Press where u, p, {, T, T i , q, and E are respectively velocity, pressure, specific volume, temperature, ignition temperature, chemical binding energy, and specific total energy. More precisely, E=(1Â2) u 2 +e+q, where e is the article no. DE973304 10 0022-0396Â97 25.00