Onset of detonation in regions with nonuniform temperature and concentration distributions

Parametric study of shock-wave formation in a spatially inhomogeneous self-igniting medium for arrhenius combustion kinetics

“…This situation is illustrated by Fig. 3, which gives a X-τ diagram of the self-ignition wave propagation and the trajectory of the characteristic on which a shock wave is formed, and shows the contribution of three terms from the right side of the Riccati equations (6) along the trajectory of the characteristic.…”

“…To estimate the accuracy of the results obtained using the proposed approach, we compared the results of solution of system (6) with the solution of the complete system of gas dynamics equations for a simple first-order reaction with an Arrhenius temperature dependence of the rate.…”

“…Historically, the model of a simple (one-step) reaction with an Arrhenius temperature dependence of the reaction rate is the first and most widely used model in theoretical studies of combustion and detonation [4][5][6][7][8][9][10][11].…”

Transport equation for gas-dynamic perturbations in a spatially nonuniform self-igniting medium

“…In most previous theoretical studies, the main method of research was numerical solution of the complete system of Eulerian equations of gas dynamics for a simple one-stage reaction [4,9,10,14] or a combination of asymptotic and numerical methods for the same model of reactive gas dynamics [11][12][13][14].…”

“…Soft detonation initiation has been the subject of many experimental [5][6][7] and theoretical [4,[8][9][10][11][12][13][14] studies. In the papers cited, it has been shown that soft detonation initiation is a complex process including several stages [14]: the propagation of a supersonic attenuating combustion front without shock waves, the forma- 1 Kurchatov Institute, Moscow 123182; zaev@8ka.mipt.ru.…”