It is shown that one can determine the solid-phase content in the separation products from a hydrocyclone on the basis of the diameter for the limiting grain size in the separation, but that approach does not allow one to calculate the grain-size distribution in the dispersed phase of the separation products. The separation in a cylindroconical hydrocyclone is considered not only in the traditional way, for the conical part of the body below the lower edge of the upper drainage tube, but also in the cylindrical part of the body. The proposed approach enables one to calculate not only the solid-phase concentration in the concentrated and clarified products but also the grain-size compositions in the separation products.Centrifugal equipment is widely used in the chemical industry, including cylindroconical hydrocyclones that differ from other apparatus in the group in having a simple design, small size, comparatively low cost, and absence of moving parts.Various methods have been developed for designing such cyclones, but most of them do not incorporate the effects of the zone under the lid on the expected separation parameters, including the grain-size composition for the particles in the dispersed phase in the products. In most methods, it is assumed that the particles of dispersed phase in the zone of the lid down to the lower edge of the top drainage tube are distributed uniformly over the section of the apparatus, but in fact the separation begins on entry to the cylindrical part of the body.It is therefore necessary to consider the hydrodynamics of the zone under the lid and devise a method of calculating the expected separation parameters on the basis of the effects of that zone on the separation.The following form can be given [1] for the radial motion of a particle in a cylindroconical hydrocyclone (Fig. 1):
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.