Reactive flow in a porous medium: Formulation for spatially periodic hexagonally packed cylinders

This study’ develops an integrated micro-macro model of reactive flow in a porous medium consisting of spatially periodic hexagonal array of solid reacting cylinders. The micro model describes the growth of reaction product on the solid reactant surface. The macro flow of the infiltrant fluid is described by Darcy’s law. The transient permeability and thus advancement of the infiltration front are determined as a function of process parameters from the micro model. Crucial process parameters that influence the advance of the fluid front are identified. The results from this investigation can be used to optimize the manufacture of ceramic-matrix composites.