Comparative Analysis of Three Mathematical Models of Hydrogen Ignition

Abstract

Three models of chemical kinetics of hydrogen combustion in oxygen and three gasdynamic models of the flow of a reacting mixture behind the front of an initiating shock wave are analyzed. The computed data are compared with experimental results in terms of the ignition delay versus temperature. It is demonstrated that the choice of the criterion determining the ignition delay for comparisons with experimental data is of major importance. A numerical analysis of three kinetic schemes of hydrogen ignition shows that a scheme with 38 reactions of 8 species offers the best description of experimental data in the range of temperatures from 1000 to 2800 K.

Mathematical modeling of detonation suppression in a hydrogen-oxygen mixture by inert particles

“…and, in the case of using the detailed kinetics [11], with the equations of chemical transformations…”

“…Therefore, it seems of interest to develop a theoretical model of these phenomena, which could offer a detailed description of the DW structure and establish correspondence between the data obtained with detailed and reduced kinetics. In the study described below, we use a mathematical model that ignores the particle motion (the mixture is frozen with respect to velocity and nonequilibrium with respect to temperature), but is based on detailed kinetics [11].…”

The ignition delay times of hydrogen/silan/air mixtures at low temperatures

“…It was shown [3,[6][7] that the use of different ignition criteria yields very close results for both hydrogen-oxygen-argon mixtures and silanehydrogen-oxygen-nitrogen-argon mixtures. Here we use one of these criteria, namely, the time needed to reach the maximum growth rate of the mixture temperature: max dT dt .…”

Mathematical modeling of the detonation wave and inert particles interaction at the macro and micro levels

“…The detailed kinetics allows more accurately reproducing parameters such that the ignition delay time and burning time of the mixture, especially at the limiting modes, but it requires a great deal of computer time. In [15], three models of the chemical kinetics of hydrogen combustion in oxygen and three gas-dynamic models of the flow of the reacting mixture behind the front of the initiating shock wave were analyzed. In [16], the use of certain kinetic models of the hydrogen-air mixture is justified to describe detonation.…”