Mathematical Modeling of the Hydrodynamic Instability and Chemical Inhibition of Detonation Waves in a Syngas–Air Mixture

Abstract

This paper presents the results of the two-dimensional modeling of the hydrodynamic instability of a detonation wave, which results in the formation of an oscillating cellular structure on the wave front. This cellular structure of the wave, unstable due to its origin, demonstrates the constant statistically averaged characteristics of the cell size. The suppression of detonation propagation in synthesis gas mixtures with air using a combustible inhibitor is studied numerically. Contrary to the majority of inhibitors being either inert substances, which do not take part in the chemical reaction, or take part in chemical reaction but do not contribute to energy release, the suggested inhibitor is also a fuel, which enters into an exothermic reaction with oxygen. The unsaturated hydrocarbon propylene additive is used as an inhibitor. The dependence of the effect of the inhibitor content on the mitigation of detonation for various conditions of detonation initiation is researched. The results make it possible to determine a critical percentage of inhibitor which prevents the occurrence of detonation and the critical percentage of inhibitor which destroys a developed detonation wave.

Overview of the Application of Physically Informed Neural Networks to the Problems of Nonlinear Fluid Flow in Porous Media

“…Considering the problems of increasing oil recovery, it is necessary to take into account a whole range of phenomena that affect the displacement characteristics and appear during the application of complex thermo-chemical methods to saturated reservoirs. Among these are the heterogeneity, as the initial distribution of the filtration-capacitance properties of the layers (porosity, permeability, pore distribution by size), as well as these properties' changes over time, which occur mainly due to the pumped active agents' interactions with both the formation liquid and the porous skeleton (phase transitions, chemical reactions, sorption/desorption processes) [3,26]. In addition, the unsteadiness of the development processes in combination with changes in the fluid properties' dynamics leads to the necessity to modify the flow additive components (responsible for mass transfer and energy inflow) in the conservation equations (mass, momentum, energy) which describe the process, and also to modify the equation type, which leads to the necessity of changing the calculation algorithm while modeling.…”

“…The numerical solution of such systems involves the application of complex integration methods, even for the one-dimensional case [1,2]. Accounting for the flow multidimensionality, the multiphase nature of the filtered fluids and the necessity of phase interaction considerations (taking into account the ongoing phase transitions and chemical reactions) significantly complicates the system [3]. Paper [4] provides an extensive overview of modern approaches to integrating systems of PDEs, including describing fluid flow in porous media with mass flows between phases.…”