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FLOW RATE CONVERSION
WITH PRECISION
UNITS:
IP
SI
FREEMAN FLOW FORMULA (IP)
n
number of outlets flowing
C
coefficient of discharge
-
∆
C
uncertainty in coefficient of discharge
0.00
0.05
0.10
0.20
-
d
opening diameter measurement
in
∆
d
precision of diameter measurement (confidence)
0
1/16
1/8
1/4
1/2
1
in
p
pitot gauge measurement
psi
-
pitot gauge size (range)
30
60
100
200
300
psi
∆
p
pitot gauge calibrated tolerance
1%
3%
-
Q
simplified calculated flow rate
using significant digits
Q = 29.84 x n x C x d² x
√
p
gpm
""
∆Q
flow rate range by error propogation
∆
Q = Q
√
[ (
∆
C/C)² + (2
∆
d/d)² + (0.5
∆
p/p)² ]
gpm
""
Q
calculated flow rate with error
gpm
FREEMAN FLOW FORMULA (SI)
n
number of outlets flowing
C
coefficient of discharge
-
∆
C
uncertainty in coefficient of discharge
0.00
0.05
0.10
0.20
-
d
opening diameter measurement
mm
∆
d
precision of diameter measurement (confidence)
0
5
10
15
20
50
mm
p
pitot gauge measurement
bar
-
pitot gauge size (range)
2
4
7
10
15
20
30
bar
∆
p
pitot gauge calibrated tolerance
1%
3%
-
Q
simplified calculated flow rate
using significant digits
Q = 0.666 x n x C x d² x √p
L/min
""
∆Q
flow rate range by error propogation
∆
Q = Q
√
[ (
∆
C/C)² + (2
∆
d/d)² + (0.5
∆
p/p)² ]
L/min
""
Q
calculated flow rate with error
L/min
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