Physical Sciences and Mathematics Commons^™

Asymptotic Analysis Of The Structure Of A Steady Planar Detonation: Review And Extension, William B. Bush, L. Krishnamurthy

Aerospace, Physics, and Space Science Faculty Publications

The structure of a steady planar Chapman-Jouguet detonation, which is supported by a direct first-order one-step irreversible exothermic unimolecular reaction, subject to Arrhenius kinetics, is examined. Solutions are studied, by means of a limit-processexpansion analysis, valid for A, proportional to the ratio of the reaction rate to the flow rate, going to zero, and for β, proportional to the ratio of the activation temperature to the maximum flow temperature, going to infinity, with the product Aβ½ going to zero. The results, essentially in agreement with the Zeldovich-von Neumann-Dōring model, show that the detonation consists of (1) a three-region upstream shocklike …