Abstract
. Currently, there is a tendency to diversify the generation of heat and electricity and to improve solid fuel technologies. These trends actualize the search for mathematical tools for describing and predicting the operation of apparatuses with a fluidized bed of dispersed fuel materials. However, since the mechanics of heterogeneous media (and dispersed media in particular) is to a certain extent in its infancy in relation to the mathematical foundations of modeling, it is often difficult to predict the operation of equipment. In particular, the poor quality of mathematical basis does not allow predicting the fields of concentrations and velocities of the phases of the fluidized bed, although this knowledge serves as the fundamental basis for calculating heat and mass transfer and chemical processes. In the present work, a computational and experimental study of the local hydromechanical characteristics of a monodisperse fluidized bed has been carried out. The mathematical apparatus of the theory of Markov chains was used as a basis for modeling. The tasks were solved in a one-dimensional formulation, which implied the division of the bed in height into cells of small but finite sizes. Fluidized bed phase distributions were described by state vectors whose evolution was controlled by transition probability matrices. The elements of these matrices were matched to the physical parameters of the processes. The model was verified by comparing the calculated predictions with the data of a full-scale experiment conducted as part of the study, aimed at measuring the local velocities of the gas phase inside the fluidized bed. The experimental data with a good accuracy for engineering calculations were described by the proposed model, which makes it possible to consider it as a reliable scientific basis for the computer method for calculating installations using the fluidization technique.