A mathematical model for the determination of a cyclone performance

A mathematical model of two phase flow in tangential cyclone separators is presented, by definitions of new parameters including the effects of cyclone geometry, surface roughness and concentration of particles. The critical diameters, fractional efficiencies and pressure losses are calculated under the assumptions that each phase has the same velocity and the same acceleration in the spiral motion of the flow, a relative velocity occurs in the radial direction, and drag coefficient remains constant under certain conditions. The results obtained under these assumptions are compared with their experimental and theoretical counterparts in literature, and very good agreement is observed with the experimental values.