Abstract
In the work in a flat-one-dimensional formulation, a mathematical model and the results of modeling the combustion process of a gas hydrate as a result of its ignition with a mixture of methane and an oxidizer are presented. It was assumed that the rate constant of a chemical reaction depends on temperature according to the Arrhenius law. The solution was carried out by a numerical method based on the method of catching the phase transition front into the nodes of the spatial grid. On the basis of the obtained solutions, the distributions of the main parameters of the system, as well as the dependences of the highest temperature of the gas mixture and the rate of decomposition on time, were constructed.
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