I am looking for a simple empirical fire model that includes the general principles. A fire is controlled by the presence of fuel, supply air and heat from the flame causing pyrolysis for solid fuel and evaporation for liquid fuel, see figure.
As a consequence, a fire (size or growth) may be controlled by limiting air supply, removing fuel or cooling. I found several papers on numerical analysis of pyrolysis for specific fuels including detailed chemistry, but I am interested in a more empirical approach that is applicable in a more general way.