In order to make certain of the validity of the expression for 50% separation diameter
dc presented in my 2nd report, the theoretical values of
dc were compared with the values of “equilibrium particle size”
dR=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
dc and the experlmentals
dR=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,
dR=E/
dc, could be expressed as follows:
dR=E/
dc=
K/
Rec0.1where
K is constant value dependent on introduced cyclone including the effects of agglomeralion, bouncing or re-entrainment of particles upon the overall efficiency: and
Rec is the Reynolds Number based on the cut size particle expressed as
Rec=
dcws/
vuk
2/
grk
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