A Modified Zel'dovich-Neumann-Doering Model and its Peculiarities

摘要

A detonation model whose structure includes a shock wave and a continuous combustion zone, where a chemical conversion process is governed by a reaction satisfying a kinetic formulation of the mass action law, is studied. In the framework of this model, the following two types of detonation waves with Lyapunov-stable combustion zones are found: (ⅰ) the weak detonation whose speed relative to the equilibrium detonation product flow is equal to the equilibrium speed of sound and (ⅱ) the strong detonation whose speed relative to the flow on the critical surface is equal to the frozen speed of sound (this speed coincides in magnitude with the equilibrium speed). It is shown that the strong detonation corresponds to the condition of tangency between the Mikhelson line and the adiabat of equal sound speeds called the extreme adiabat.