A two-dimensional model of two simple porous burner geometries is deve
loped to analyze the influence of multidimensionality on flames within
pore scale structures. The first geometry simulates a honeycomb burne
r, in which a ceramic is penetrated by many small, straight, nonconnec
ting passages. The second geometry consists of many small parallel pla
tes aligned with the flow direction. The Monte Carlo method is employe
d to calculate the viewfactors for radiation heat exchange in the seco
nd geometry. This model compares well with experiments on burning rate
s, operating ranges, and radiation output. Heat losses from the burner
are found to reduce the burning rare. The flame is shown to be highly
two-dimensional, and limitations of one-dimensional models are discus
sed. The effects of the material properties on the peak burning rate i
n these model porous media are examined. Variations in the flame on le
ngth scales smaller than the pore size are also present and are discus
sed and quantified. (C) 1998 by The Combustion Institute