Your client has informed you that this system is scheduled to operate for many years. Thus, they want you to determine the flow rate in the cast-iron 5" SCH80 piping for two conditions: i) ii) The "best case" scenario where the piping is brand new. The "worst case" scenario inside. where the piping has become all rusty on the In order to eliminate the change in flow rate over time that you predict will happen in part a), a colleague suggests partially closing the gate valve when the piping is brand new and then gradually opening it as the piping becomes more and more rusty on the inside. By citing specific terms in the Bernoulli equation, give a brief explanation on how this technique works. Determine the gate valve loss coefficient that must be set to initially when the piping is brand new so that the flow rate of water matches the final conditions (i.e, when the piping has become all rusty on the inside and the gate valve is fully opened).

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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Your engineering consulting firm has been sent the design for a simple piping system connecting two large water
reservoirs (both at 10 °C) as shown in the accompanying figure.
Z₁ = 19 m
i)
ii)
C.
Sharp-edged
entrance, K₁= 0.5
inside.
9 m
-Control
volume
boundary
Standard elbow,
flanged, K₁ = 0.3
90 m
a. Your client has informed you that this system is scheduled to operate for many years. Thus, they want you to
determine the flow rate in the cast-iron 5" SCH80 piping for two conditions:
The "best case" scenario where the piping is brand new.
The "worst case" scenario
Gate valve,
fully open
K₁= 0.2-
Z₂ = 4 m
where the piping has become all rusty on the
b. In order to eliminate the change in flow rate over time that you predict will happen in part a), a colleague
suggests partially closing the gate valve when the piping is brand new and then gradually opening it as the
piping becomes more and more rusty on the inside. By citing specific terms in the Bernoulli equation, give a
brief explanation on how this technique works.
Determine the gate valve loss coefficient that must be set to initially when the piping is brand new so that the
flow rate of water matches the final conditions (i.e, when the piping has become all rusty on the inside and
the gate valve is fully opened).
Transcribed Image Text:Your engineering consulting firm has been sent the design for a simple piping system connecting two large water reservoirs (both at 10 °C) as shown in the accompanying figure. Z₁ = 19 m i) ii) C. Sharp-edged entrance, K₁= 0.5 inside. 9 m -Control volume boundary Standard elbow, flanged, K₁ = 0.3 90 m a. Your client has informed you that this system is scheduled to operate for many years. Thus, they want you to determine the flow rate in the cast-iron 5" SCH80 piping for two conditions: The "best case" scenario where the piping is brand new. The "worst case" scenario Gate valve, fully open K₁= 0.2- Z₂ = 4 m where the piping has become all rusty on the b. In order to eliminate the change in flow rate over time that you predict will happen in part a), a colleague suggests partially closing the gate valve when the piping is brand new and then gradually opening it as the piping becomes more and more rusty on the inside. By citing specific terms in the Bernoulli equation, give a brief explanation on how this technique works. Determine the gate valve loss coefficient that must be set to initially when the piping is brand new so that the flow rate of water matches the final conditions (i.e, when the piping has become all rusty on the inside and the gate valve is fully opened).
Table 8.4
Representative Loss Coefficients for Fittings and Valves
Geometry
K
Flanged regular
Flanged long radius
Threaded regular
Threaded long radius
Miter
Miter with vanes
Threaded regular
Flanged long radius
Threaded
Fitting
90° elbow
45° Elbow
Tee, dividing
line flow
Tee, branching
flow
Flanged
Threaded
Flanged
0.3
0.2
1.5
0.7
1.30
0.20
0.4
0.2
0.9
0.2
2.0
1.0
Fitting
Globe valve
Angle valve
Gate valve
Ball valve
Water meter
Coupling
Geometry
Open
Open
Open
75% open
50% open
25% open
Open
1/3 closed
2/3 closed
K
10
5
0.20
1.10
3.6
28.8
0.5
5.5
200
7
0.08
Transcribed Image Text:Table 8.4 Representative Loss Coefficients for Fittings and Valves Geometry K Flanged regular Flanged long radius Threaded regular Threaded long radius Miter Miter with vanes Threaded regular Flanged long radius Threaded Fitting 90° elbow 45° Elbow Tee, dividing line flow Tee, branching flow Flanged Threaded Flanged 0.3 0.2 1.5 0.7 1.30 0.20 0.4 0.2 0.9 0.2 2.0 1.0 Fitting Globe valve Angle valve Gate valve Ball valve Water meter Coupling Geometry Open Open Open 75% open 50% open 25% open Open 1/3 closed 2/3 closed K 10 5 0.20 1.10 3.6 28.8 0.5 5.5 200 7 0.08
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