A mass-transfer equation, the solution of which for given boundary conditions makes it possible to derive in analytical form a relationship between the extraction of the solid phase of a suspension into the centrifuge effluent and the fineness of the particles, is suggested on the basis of a model; this is of particular importance in connection with the development of a new trend in the utilization of filtering centrifugesconcentration of coal slurries by extraction into the centrifuge effluent of the finest particles, the ash content of which is substantially higher than that of particles of the coarser classes. Results are presented for production studies under conditions at an active establishment (the Neryungrinskaya Enrichment Factory); these results confirmed the adequacy of the mathematical model proposed: convergence of computed and experimental data was within the limits of the experimental error (no more than 3%). The model in question can be used to predict results of suspension separation by centrifugal filtration.Widespread use of filtering centrifuges in various branches of industry (mining, chemical, foodstuff, etc.) has dictated development of a theory of centrifugal filtering in connection with the need to ascertain laws governing the process, bases for rational regimes of centrifuge operation, and prediction of indicators of centrifugal filtering.In the past decade, a deterministic approach based on manifestation of laws governing the motion of individual particles of solid phase and liquid in capillaries of the cake under the action of centrifugal force has been predominant in studies concerning centrifugal filtration.Basic trends in the mathematical modeling of centrifugal filtering are: 1) determination of conditions whereby solid-phase particles are displaced along various surface configurations of the filtering rotor;2) development of a method for production analysis of various types of centrifuges distinguished by means of off-loading of the cake;3) investigation of the kinetics of centrifugal filtering; and 4) study of the influence exerted by physical properties of the initial material on its dewatering. One of the common drawbacks of various models of centrifugal filtering is (in first approximation) a similar approach to processes involving centrifugal filtration and filtering under static conditions (in a vacuum, or under excess pres-