The transient combustion of porous char particles is modelled. The model takes into account the reactions of carbon with COz and 0 2 and the oxidation of CO in the gas phase. It reveals strong effects of the intraparticle thermal gradients and of the pore structure evolution scheme on the burning time and predicts an optimum particle size that gives minimum burning time.
S. V. SOTIRCHOS and N. R. AMUNDSONUniversity of Houston Houston, TX 77004
SCOPEFormulating mathematical models describing the behavior of a combustion or gasification reactor or even of a cloud of coal dust, we usually include in the analysis submodels simulating the transient combustion or gasification of the individual microsystems, char or coal particles. It is understandable that these submodels must be simple and, if possible, analytically or semianalytically tractable. Unfortunately, the dynamic behavior of the individual subsystems is very complex, a result of the strong interplay between diffusion and reaction. In particular, the combustion of a porous char particle involves not only diffusion of oxygen and carbon dioxide through the surrounding gas phase and the pores of char and reaction of these two species with carbon, but also oxidation of carbon monoxide produced by the heterogeneous reactions in the gas phase. Moreover, because of local depletion of the solid material, the pore structure of the solid changes spatially and temporally, its evolution involving pore growth, coalescence of adjacent pores, as well as initiation of new pores. Therefore, the study of the combustion of a single char particle with the goal of understanding the effect of every assumption and simplification on the solution structure and identifying suitable simple models reproducing to a satisfactory degree most of the quantitative and qualitative features of the solution does not appear to be an easy task.This study aims to investigate the dynamic behavior of porous char particles exposed to an oxidizing environment. As the pseudosteady-state analysis of the problem has shown (Sotirchos and Amundson, 1984b), consideration of intraparticle thermal gradients in the mathematical model has strong quantitative and qualitative effects on the pseudosteady-state behavior of the system. In addition, the solution structure has been found to be very sensitive to the reactivity of the char sample. Since this varies with the pore structure characteristics, different modes of pore structure evolution may lead to significant differences in the predicted burning times. Thus, although the model is fairly general describing the diffusion and reaction process both in the interior of the particle and in the surrounding gas phase, we chiefly focus on the effects of intraparticle thermal gradients and of the evolving pore structure on the transient behavior of the reacting particles. According to the assumptions on which the model is built, the properties of the porous matrix evolve spatially and temporally, but locally they are completely determined by the conversion. In other wo...