Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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i need help with the calculations. i am messing up something in the math
Transcribed Image Text:Orifice Meter
From the theory, the equation governing the flow rate through a orifice meter is shown as follows:
The data obtained for orifice meter from the experiment is summarized as follows
ΔΡ
No.
units
Then,
1
2
3
4
5
Flow rate (gpm)
Gallons Per Minute
5
45
4
3
2
Sample Calculations
Inner diameter of the tube = 0.590/n = 0.014986m
Q₂
Orifice Bore = 0.311in = 0.078994m.
A₂ =
in
V₂ =
70
32
MD₂²
Q₂ = A₂V₂ CA₂
C-F
in
200 160
150 125 25
127 100 27
= A₂V₂ = A₂
60
P1-
P2
23
in
10
9
2(P₁-P₂)
√(¹-())
40 1.016 9963.912
??
??
2(P₁-P₂)
√(1-3))
2(P₁-P₂)
√(1-3))
AP=
P1-
P2
T(0.0078994m)²
4
=
m
??
??
(2)-(-
AP=
P1-P2
Pa
??
??
??
??
velocity
0.078994m
0.014986m
m/s
5.25312
??
??
??
= 49.00925 x 10-6m²
??
flow rate
Qori
m³/s
0.000257451
2(9963.912)kgm/s²
1000kg/m³(1-(0.277854)²)
??
??
??
??
= 0.277854
Actual
flow rate
Got
m³/s
0.000333
0.0003
0.00025
0.000183
0.000117
= 5.25312m/s
(5.25312m (49.00925 x 10-6m²) = 0.000257451m²/s
The flow rate in this case is lower than the actual flow rate. This is due to the loss in the flow rate caused by the turbulence in the orifice.
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