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The figure below shows a fluid flow system that is designed to pump water at 20 °C from a lower vented reservoir to an elevated vented tank. Note that the drawing is not to scale as the dimensions of the reservoirs are very large relative to those of the piping system. The suction line entering the pump is specified as 20 m of 3½" schedule 40 commercial steel pipe; the discharge line from the pump is 180 m of 2%" schedule 40 commercial steel pipe.

The figure below shows a fluid flow system that is designed to pump water at 20 °C from a lower vented reservoir to an elevated vented tank. Note that the drawing is not to scale as the dimensions of the reservoirs are very large relative to those of the piping system. The suction line entering the pump is specified as 20 m of 3½" schedule 40 commercial steel pipe; the discharge line from the pump is 180 m of 2%" schedule 40 commercial steel pipe.

Elements Of Electromagnetics
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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Please write solution neatly and if scanning pages, please make sure the writing is distunguishable from the background. Please use graph attached. Thanks I'll give positive feedback 

Head-m NPSHr-m 180 160 140 120 80 60 100 6.75 in 40 20 0 10 9 in 0 8.25 in 7.5 in 6 in 0.002 0.002 0.004 0.004 40 0.006 0.006 50 40 0.008 0.008 55 0.01 0.01 50 60 0.012 0.012 55 0.014 0.014 60 m³/s 0.016 0.016 60 65 0.018 0.018 0.02 0.02 68 50 0.022 0.022 0.024 0.024 50 68 60 0.026 0.026
Transcribed Image Text:Head-m NPSHr-m 180 160 140 120 80 60 100 6.75 in 40 20 0 10 9 in 0 8.25 in 7.5 in 6 in 0.002 0.002 0.004 0.004 40 0.006 0.006 50 40 0.008 0.008 55 0.01 0.01 50 60 0.012 0.012 55 0.014 0.014 60 m³/s 0.016 0.016 60 65 0.018 0.018 0.02 0.02 68 50 0.022 0.022 0.024 0.024 50 68 60 0.026 0.026
QUESTION 4 The figure below shows a fluid flow system that is designed to pump water at 20 °C from a lower vented reservoir to an elevated vented tank. Note that the drawing is not to scale as the dimensions of the reservoirs are very large relative to those of the piping system. The suction line entering the pump is specified as 20 m of 3½" schedule 40 commercial steel pipe; the discharge line from the pump is 180 m of 2%" schedule 40 commercial steel pipe. C. 15m 3 m 31/2-in Schedule 40 steel pipe Fully open gate valve 21/2-in Schedule 40 steel pipe Flanged regular 90⁰ elbows Pump Swing-type Butterfly check valve valve Flow (Kbutterfly = 0.8) a. Starting from the Bernoulli equation (in 'head' form) for the situation where the liquid levels in the two reservoirs are reference points 1 and 2, derive the correct equation for pump head Hpump (m) in terms of volumetric flow rate Q (m³/s) and other process variables (e.g. z, f, L, D, K). b. Using Excel (or another suitable program), create a nice plot of Hpump (m) versus Q (m³/s), i.e. the 'system curve'; set your x-axis scale to range from 0 to 0.026 m³/s. Now consider the situation where the pump needs to be replaced. You call up your favourite pump supplier who recommends a particular pump with the pump performance figure shown below. Sketch the 'system demand' curve for the fluid flow system on the pump performance curve shown below (NOTE that the same curve is posted as a separate file in the 'Assignment 5' folder on Avenue) and then identify which one of the five available impellers (i.e. 6", 6.75", 7.5", 8.25", 9") should the supplier install if the system must achieve a volumetric flow rate of 0.020 m³/s. d. For the impeller that you choose in part c, what would be the actual flow rate (m³/s) of water that would be achieved when installed in the system as shown above? Propose a reasonable strategy that could be used to transition the 'operating point' (also referred to as 'duty point') to achieve the desired water flow rate of 0.020 m³/s.
Transcribed Image Text:QUESTION 4 The figure below shows a fluid flow system that is designed to pump water at 20 °C from a lower vented reservoir to an elevated vented tank. Note that the drawing is not to scale as the dimensions of the reservoirs are very large relative to those of the piping system. The suction line entering the pump is specified as 20 m of 3½" schedule 40 commercial steel pipe; the discharge line from the pump is 180 m of 2%" schedule 40 commercial steel pipe. C. 15m 3 m 31/2-in Schedule 40 steel pipe Fully open gate valve 21/2-in Schedule 40 steel pipe Flanged regular 90⁰ elbows Pump Swing-type Butterfly check valve valve Flow (Kbutterfly = 0.8) a. Starting from the Bernoulli equation (in 'head' form) for the situation where the liquid levels in the two reservoirs are reference points 1 and 2, derive the correct equation for pump head Hpump (m) in terms of volumetric flow rate Q (m³/s) and other process variables (e.g. z, f, L, D, K). b. Using Excel (or another suitable program), create a nice plot of Hpump (m) versus Q (m³/s), i.e. the 'system curve'; set your x-axis scale to range from 0 to 0.026 m³/s. Now consider the situation where the pump needs to be replaced. You call up your favourite pump supplier who recommends a particular pump with the pump performance figure shown below. Sketch the 'system demand' curve for the fluid flow system on the pump performance curve shown below (NOTE that the same curve is posted as a separate file in the 'Assignment 5' folder on Avenue) and then identify which one of the five available impellers (i.e. 6", 6.75", 7.5", 8.25", 9") should the supplier install if the system must achieve a volumetric flow rate of 0.020 m³/s. d. For the impeller that you choose in part c, what would be the actual flow rate (m³/s) of water that would be achieved when installed in the system as shown above? Propose a reasonable strategy that could be used to transition the 'operating point' (also referred to as 'duty point') to achieve the desired water flow rate of 0.020 m³/s.
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