In this study, the author considered thefloating velocity (or settling velocity) and the rising velocity of a irregularly shaped material in the vertical pipe by using the various coals.
From the results of this study, the following conclusions were obtained.
(1) The floating velocity vf was expressed theoretically as
υ
f=
ca·υ
fscac0=
f (
de/
D)/
cf·4√ι/
de(2) In the case of the coal
cD·
f (
de/
D) was obtained as follows,
cD·(
de/
D) = (1-
de/
D)
(3) It was ascertained that the solid materials of ordinary irregularity in shape as coal had the floating velocity of about 0.6-0.8 times that of the sphere same volume.
(4) The rising velocity ye was exprssed theoretically as
υ
c=
cω'(υω-υ
f).
(5) From the experiments cw' was expressed as
cω'=
e0.642 (υ
ω/υ
f-1)
with the error ± 5% in the various coals.
(6) From the theoretical consideration the velocity coefficient
cw' was obtained as
cw'=
K/√
cD+2λζ'
where above each notation is as follows,
υ
fs=floating velocity of asphere of the same volume
ca=calibration coefficient
cf=coefficient of the floating velocity of a sphere
l=maximum length of the material
de=equivalent diameter of the material
D=diameter of the pipe
cD·
f (
de/
D) =the coefficient and the function determined from the experiments
υ
ω=velocity of water
cω'=veloCity coefficient
K, ζ'=constants determined from the sige and the shape of coal.
(7) The more the increase of the velocity of water υ
ω the less the drag coefficient cD and the apparent frictional coefficient λ, therefore the coefficient of the velocity
cω' was not constant and increased.
This was the reason that the
cω' was expressed as the above experimental equation.
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