Some qualitative properties of the Riemann problem in gas dynamical combustion

Cheng Hsiung Hsu, Song Sun Lin

研究成果: 雜誌貢獻期刊論文同行評審

9 引文 斯高帕斯(Scopus)

摘要

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 temperature Ti, total chemical binding energy Q, and the adibatic exponent γ of polytropic gas. From these relations, we can determine when temperatures along the SZND burning solutions are higher than the ignition temperature Ti. 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.

原文???core.languages.en_GB???
頁(從 - 到)10-43
頁數34
期刊Journal of Differential Equations
140
發行號1
DOIs
出版狀態已出版 - 10 10月 1997

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