Numerical method for investigation of 1D processes in porous media with heterogeneous reactions when flow rate of oxidant regulates itself

The time-dependent gas flows through porous objects with heterogeneous reactions are considered when the gas pressure at object boundaries is known but the flow rate and velocity of the gas filtration at the inlet to the porous objects are unknown. In such porous objects the flow rate of oxidant, which enters into the reaction zone in porous object, regulates itself. An original numerical method, based on a combination of explicit and implicit finite-difference schemes, have been developed for investigating the unsteady gas flows in such porous objects with zones of heterogeneous reactions. Used approach enables to solve problems of filtration combustion for both forced filtration and free convection, so it can be efficiently applied for modeling the combustion zones in porous media, which may arise from natural or man-caused disasters.