Lattice Boltzmann simulations of heterogeneous combustion reactions for application in porous media

Our current study proposes a lattice Boltzmann (LB) model which is to be used for simulating the combustion process within the porous structure of soot filters. A multi-distribution function (MDF) approach is utilized for the simulation of fluid flow in porous media, for the temperature fields in the fluid and solid domain as well as for the transport of reactive components in the fluid phase. Furthermore, the developed model accounts for the conjugate heat transfer between the solid and fluid phases and incorporates a first order heterogeneous reaction, occurring at the interface between the fluid and solid coke phase. To enhance model stability over a broader range of Reynolds numbers, a multi-relaxation time (MRT) approach is employed. The proposed model is validated by systematically examining its ability to address the mass and momentum conservation of the model, its ability to accurately describe the continuity of the conjugate heat transport at the interface between solid and gas phases and finally all aspects of the proposed model collectively by comparing the results of a combustion test case with existing literature data. A parametric study is conducted to explore different combustion regimes by variation of both the P & eacute;clet and Damk & ouml;hler numbers.