一个理想的爆燃转爆轰过程

本文是对张同和郑玉玺的文章中关于爆燃转爆轰的过程的改写。阐述了该文的理论结果与实际的DDT过程的内在联系，并对该文模型中的力学量加以阐明，赋以单位，并给出一个算例。最后对该文所讨论的理想化的模型的意义进行分析，指出DDT现象系由方程的非线性及性引起的湍流共同影响下形成，而前者是决定性的，因为若把方程线性化，但保留粘性项，无论湍流及DDT均不会发生。

An Ideal Process of Transition from Deflagration to Detonation

The process of transition from deflagration to detonation in a tube filled with combustible gas by igniting is discussed. Under some idealized assumptions of no viscosity, no heat conductivity and no gravity, Zhang Tong and Zheng Yuxi has proved that the shock wave reflected from the wall at one end of the tube, overtakes the deflagration and transforms it into detonation instantaneously, at the same time in the opposite direction a shock, so called retonation occurs. The meaning the mechanical terms used in the model of Zhang Tong and Zheng Yuxi are explained, some detailed proofs are added and a computational example is pressented.