Determination of the volumetric heat generation in a furnace chamber from the radiation flux distribution

A thermal model of a furnace chamber involving both a three-dimensional radiation heat transfer equation and an energy equation describing the one-dimensional flow of a combustible mixture is proposed. Convective heat transfer at the walls and shields is taken into account by the approximate standardized method. The model allows one to calculate the temperature and heat flux distributions both in the volume and at the boundaries of the furnace chamber. The problem of finding the specific volumetric heat generation from the radiation fluxes measured at the furnace walls is considered with this model.