Keywords: combustion, porous media, numerical simulation.

This paper presents numerical methods for the simulation of premixed methane or air flames in porous media utilizing a two energy equation model. The laminar two dimensional model was based on a macroscopic formulation of the heat and mass transport equations. A six step reduced mechanism was adopted to model the chemical kinetics. The governing equations were discretized using the finite volume method. The energy and species equations were solved using a fractional time step method. The pressure drop, temperatures and CO mass fraction profiles were calculated adopting in the simulations different Nusselt correlations and different models for the effective properties. The simulations that utilized values of the effective properties obtained through direct pore-level numerical simulations, found in the literature, were considered as reference solutions to be more accurate. The reference solutions were compared with others solutions that adopted, in the simulations, values of the effective properties obtained through different methods found in the literature. Different values of the permeability, were adopted in the simulations, obtained through conduit flow model, hydraulic radius model, drag model and direct pore-level numerical simulations. The pressure drop was calculated with a value of the Forchheimer coefficient obtained through direct pore-level numerical simulations and compared with the results recommended in the literature.

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