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110 José Renato Coury et al.
ν ts 10 2 , with D in meters.
ν m = 2.8850 × 10 D i i
ts
η = 1 , with D in meters.
.
i [ 1 + . (2 885 × 10 10 D i ) −32 ] i
2
For v = 20.0 m/s,
i
3
m 3600s
3
Q = 0.1812 = 652.3 m h
s h
v = 10.1m s
o
v = 21.1m s
tmax
ν
.
×
ts = 3 7083 10 10 D 2 , with D in meters.
ν ts m i i
η = 1
.
i [ 1 + . (3 7083 × 10 10 D i ) −32 ] , with D in meters .
i
2
Figure 4 shows the efficiency curves obtained with the Barth model compared to the
experimental results of Dirgo and Leith (17), for the same operating conditions (note that
the difference in D is of only 3 mm).
c
Leith and Licht Model
For v = 10 m/s, the length and diameter of the vortex are calculated from Eqs. (13) and
i
(12), respectively:
1
(0.302 m ) 2 3
Z = 2.3 (0.151 m )
c
( 0.151 m )(0.060 m )
Z = 0.750 m
c
d = 0.302 m − (0.302 m − 0.113 m ) 0.151 m + 0.750 m − 0.453 m
c 1.208 m − 0.453 m
d = 0.190 m
c
Because H−S = 1.208 m−0.151 m = 1.057 m > Z , the volume of the cyclone natural vor-
c
tex is given by Eq. (10):
2
V = ( π. 0 302 m ) 2 ( . 0 453 m − . 0 151 m ) + ( π. 0 302 m )
nl
4 4
. 0 750 m + . 0 151 m − . 0 453 m
3
. 0 190 m ( . 0 190 m ) ( π. 0 151 m 0
2
2
) .750 m
1 + + 2 −
. 0 302 m ( . 0 302 m ) 4