I suggest that you browse the relevant papers available at the fire.nist.gov web site. There you will find articles on such subjects as the radiative and convective downward feed back from flames, the rate of charring of wood exposed to various levels of heat flux (especially radiation), the effect of ceilings and other barriers on combustion below them, etc. This subject matter is generally referred to as "fire dynamics" rather than "thermodynamics." The principle difference between the two fields is that FD relies principally on empirical engineering approaches whereas thermodynamics is based mainly on scientific first principles.