The theoretical studies of the transmission of electromagnetic radiation through large fires have been generally postulated as either uniform conditions horizontally across the rising products of combustion or, at best, some assumed, easily formulated inhomogeneity in order to make the mathematics more tractable. In a previous paper the authors presented a new logical approach to the treatment of time-dependent processes, the Sequential Process Method in which complex time-dependent processes are broken down into a chronologic sequence of sub-processes each assumed, during one cycle of events, to be occurring during the same time step. The method we elucidated by applying it to a rather simple physical picture, that of radiating symmetric concentric sleeves over a uniformly burning, flat circular fire. In this work the physical picture is extended to include non-uniform, radially symmetric, large flat fires, and the method of transport between sleeves has been generalized. An improved method of accounting for the behavior at the interface of two distinct gas volumes is proposed, and the effects of application of such procedures are illustrated. Velocity and temperature profiles calculated suggest the need for theoretical study of diffusion processes not considered in current fire kinetic studies, including the inclusion of an outer plume "sleeve" which was initially part of the ambient. Recommendations are given for future research in fire kinetics which would explain effects of wind and temperature gradients in the atmosphere, the distribution of particulates in the fire plume, and describe a fire as a source of long-term obscurants.