QUESTION 3 You are asked to select a new centrifugal pump for the piping system shown below that will be used to deliver 0.0233 m/s of hot (50 °C) water from the storage tank into the reactor. The entire piping system is constructed from 10 cm internal diameter, wrought iron pipe. A gate valve is located between the pump outlet and reactor inlet. The storage tank and reactor are both closed vessels but they are vented to maintain atmospheric pressure above the liquid level. A local equipment supplier sends you the performance curves for four different pumps that are labelled "Pump A', 'Pump B', 'Pump C', and 'Pump D' - the curves are shown on pages 7 & 8. Data: Water at 50 °C: Storage Tank density = 988 kg/m³ viscosity = 0.000547 Pa's vapour pressure = 12.3 kPa 4 m iii) 2 m 个 a. Calculate the available Net Positive Suction Head (NPSH). Note that previous experiments showed that the total head loss for the piping section between the storage tank and the pump, H₁, has been determined to be a function of the flow velocity, V, as follows: H₁,-0.44-V², where H₁, is in m and V is in m/s. Reactor b. Compare your result in part a) to the required NPSH curves for the four pumps. Which pump(s), if any, should be rejected for this system? Why or why not? c. For ALL of the pump(s) that were NOT rejected in part b): i) If the valve between the pump and the reactor will be automatically adjusted such that the system operating point is at the desired flow rate, what is the head produced by the pump. Calculate the mechanical input power (in kW) that is required to drive the pump.
QUESTION 3 You are asked to select a new centrifugal pump for the piping system shown below that will be used to deliver 0.0233 m/s of hot (50 °C) water from the storage tank into the reactor. The entire piping system is constructed from 10 cm internal diameter, wrought iron pipe. A gate valve is located between the pump outlet and reactor inlet. The storage tank and reactor are both closed vessels but they are vented to maintain atmospheric pressure above the liquid level. A local equipment supplier sends you the performance curves for four different pumps that are labelled "Pump A', 'Pump B', 'Pump C', and 'Pump D' - the curves are shown on pages 7 & 8. Data: Water at 50 °C: Storage Tank density = 988 kg/m³ viscosity = 0.000547 Pa's vapour pressure = 12.3 kPa 4 m iii) 2 m 个 a. Calculate the available Net Positive Suction Head (NPSH). Note that previous experiments showed that the total head loss for the piping section between the storage tank and the pump, H₁, has been determined to be a function of the flow velocity, V, as follows: H₁,-0.44-V², where H₁, is in m and V is in m/s. Reactor b. Compare your result in part a) to the required NPSH curves for the four pumps. Which pump(s), if any, should be rejected for this system? Why or why not? c. For ALL of the pump(s) that were NOT rejected in part b): i) If the valve between the pump and the reactor will be automatically adjusted such that the system operating point is at the desired flow rate, what is the head produced by the pump. Calculate the mechanical input power (in kW) that is required to drive the pump.
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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Transcribed Image Text:QUESTION 3
You are asked to select a new centrifugal pump for the piping system shown below that will be used to
deliver 0.0233 m³/s of hot (50 °C) water from the storage tank into the reactor. The entire piping system
is constructed from 10 cm internal diameter, wrought iron pipe. A gate valve is located between the
pump outlet and reactor inlet. The storage tank and reactor are both closed vessels but they are vented to
maintain atmospheric pressure above the liquid level. A local equipment supplier sends you the
performance curves for four different pumps that are labelled 'Pump A', 'Pump B', 'Pump C', and 'Pump
D'- the curves are shown on pages 7 & 8.
Data: Water at 50 °C:
Storage
Tank
density=988 kg/m³
viscosity = 0.000547 Pa's
vapour pressure = 12.3 kPa
4 m
↓
2 m
↑
L
Reactor
a. Calculate the available Net Positive Suction Head (NPSH). Note that previous experiments
showed that the total head loss for the piping section between the storage tank and the pump, H
has been determined to be a function of the flow velocity, V, as follows: H₁,-0.44-V², where
H₁, is in m and V is in m/s.
b. Compare your result in part a) to the required NPSH curves for the four pumps. Which pump(s),
if any, should be rejected for this system? Why or why not?
c. For ALL of the pump(s) that were NOT rejected in part b):
i)
If the valve between the pump and the reactor will be automatically adjusted such that
the system operating point is at the desired flow rate, what is the head produced by the
pump.
iii) Calculate the mechanical input power (in kW) that is required to drive the pump.
d. From the pumps that were analyzed in part c, what is the best one to install in the piping system?
Why?
Transcribed Image Text:PERFORMANCE CURVES FOR QUESTION 3 (CONTINUED ON NEXT PAGE)
Pump A
NNNNNN92299
NPSH-R (m)
25
24
€ 21
Head (m)
23
20
19
18
17
16
15
4.0
3.5
3.0
2.5
0505
2.0
1.5
1.0
0.5
0.0
NPSH-R (m)
SHERLOSENS5
25
PEPERNNNNNN
24
23
22
21
20
19
I 18
0
17
16
4.0
3.5
3.0
2.5
2.0
1.5
Z 1.0
0
0.5
0.0
0.01
0
H-pump
Efficiency
0 0.01
0.02 0.03 0.04 0.05
Flow Rate (m³/s)
Pump A
0.01 0.02 0.03 0.04 0.05
Flow Rate (m³/s)
100
80
60
40
20
H-pump
Efficiency
0.02 0.03 0.04 0.05
Flow Rate (m³/s)
Pump C
0.01 0.02 0.03 0.04 0.05
Flow Rate (m³/s)
Efficiency (%)
100
80
60
40
20
Head (m)
Efficiency (%)
NPSH-R (m)
22222298765
Head (m)
PNE.
20
19
PERFORMANCE CURVES FOR QUESTION 3 (CONTINUED FROM PREVIOUS PAGE)
Pump C
18
17
16
15
4.0
OSOSOSong
3.5
3.0
2.5
2.0
1.5
NPSH-R (m)
HO
1.0
0.5
0.0
20
19
18
17
16
0
Per
4.0
3.5
3.0
2.5
2.0
1.5
1.0
0.5
0.0
0
SOSO
0
1
1
0
0.01
Pump B
0.02 0.03
Flow Rate (m³/s)
Pump B
s
0.01 0.02 0.03 0.04 0.05
Flow Rate (m³/s)
Pump D
H-pump
- Efficiency
0.04 0.05
H-pump
Efficiency
100
80
60
40
20
0.01 0.02 0.03 0.04 0.05
Flow Rate (m³/s)
Pump D
0.01 0.02 0.03 0.04
Flow Rate (m³/s)
0.05
100
80
60
40
20
Efficiency (%)
Efficiency (%)
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