On the Particle Cut Size of Cyclone Dust Collector (Part 3)

Relationship between the Particle Cut Size d_c and the Equilibrium Particle Size d_R=E

Abstract

In order to make certain of the validity of the expression for 50% separation diameter d_c presented in my 2nd report, the theoretical values of d_c were compared with the values of “equilibrium particle size” d_R=E which can be derived from the experimental values of collection efficiency E in 4 similar cyclones for talc powder separation. Similarly, comparison between the theoreticals d_c and the experlmentals d_R=E are also made in the case of quartz dust separation in a cyclone with vortex arrestor in the dust outlet.
It is found that the values of the cut size ratio, d_R=E/d_c, could be expressed as follows:
d_R=E/d_c=K/Re_c^0.1
where K is constant value dependent on introduced cyclone including the effects of agglomeralion, bouncing or re-entrainment of particles upon the overall efficiency: and Re_c is the Reynolds Number based on the cut size particle expressed as
Re_c=d_cw_s/vuk²/gr^k