From the theory, the equation governing the flow rate through a orifice meter is shown as follows: 2(P₁-P₂) Q₂-A₂V₂ CA₂ *√(¹-(;;)) The data obtained for orifice meter from the experiment is summarized as follows 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 in = 0.014986m Orifice Bore = 0.311in = 0.078994m. = om in 32 200 160 150 127 70 60 TD₂² C-F P1- P2 in Q₂ = A₂V₂ = A₂ 125 100 AP 2 in 25 27 10 9 P2 2(P₁-P₂) √(¹-(3)) 40 1.016 9963.912 5.25312 2 (P₁-P₂) √(¹-(A)) 1- E T(0.0078994m)² ?? ?? ?? ?? (-) - AP= P1-P2 Pa ?? ?? ?? ?? velocity m/s 0.078994m 0.014986m 5.25312m ?? = 49.00925 x 10-6m² ?? ?? ?? flow rate Qori m³/s 0.000257451 2(9963.912)kgm/s² 1000kg/m³(1-(0.277854)²) 3333 ?? = 0.277854 Actual flow rate Qact m³/s 0.000333 0.0003 0.00025 0.000183 0.000117 = 5.25312m/s (49.00925 x 10-6m²) = 0.000257451m³/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.
From the theory, the equation governing the flow rate through a orifice meter is shown as follows: 2(P₁-P₂) Q₂-A₂V₂ CA₂ *√(¹-(;;)) The data obtained for orifice meter from the experiment is summarized as follows 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 in = 0.014986m Orifice Bore = 0.311in = 0.078994m. = om in 32 200 160 150 127 70 60 TD₂² C-F P1- P2 in Q₂ = A₂V₂ = A₂ 125 100 AP 2 in 25 27 10 9 P2 2(P₁-P₂) √(¹-(3)) 40 1.016 9963.912 5.25312 2 (P₁-P₂) √(¹-(A)) 1- E T(0.0078994m)² ?? ?? ?? ?? (-) - AP= P1-P2 Pa ?? ?? ?? ?? velocity m/s 0.078994m 0.014986m 5.25312m ?? = 49.00925 x 10-6m² ?? ?? ?? flow rate Qori m³/s 0.000257451 2(9963.912)kgm/s² 1000kg/m³(1-(0.277854)²) 3333 ?? = 0.277854 Actual flow rate Qact m³/s 0.000333 0.0003 0.00025 0.000183 0.000117 = 5.25312m/s (49.00925 x 10-6m²) = 0.000257451m³/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.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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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