In 1952, the author derived an equation for the cyclone cut size,
dc, based on the concept that it can be determined by treating the aerodynamic balance of a dust particle in an “equilibrium orbit” on an imaginary cone surface the apex of which is at the apex of the conical part of a cyclone and the base of which is at the bottom of the gas outlet. The imaginary cone surface was accidentally conformed to the transitional bounday of zero vertical velocity in the cyclone under tested.
This study was undertaken to develop more reasonable expression for the cut point by the use of a modified expression for the radius,
rc, that is the radius for the which tangential velocity,
u, is equivalent to the inlet velocity,
uo, as well as the expression for the power,
n, of
r in the tangential velocity distribution equation,
urn=
uorcn=constant. For this purpose., flow measurements as well as dust collection experiments were conducted with geometrically similar cyclones of a tangential entry type, and the experimental equations for
n and
rc were obtained as follows:
n=0.82(
Reu/10
4)
0.18 for 6×10
3<
Reu<3×10
4and
n=0.16(
Reu/10
4)
1.5 for
Reu<6×10
3where
Reu is the spiral flow Reynolds number expressed as
Reu=[
Do/
H][
Douoρ/μ],
furthermore for cut radius
rc=[9/4√
Reu]
1/
nD1/2
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