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Flow systems assignment for a senior level class at university of Nebraska Omaha, Assignments of Groundwater Flow and Contaminant Transport

This is a later assignment to a flow systems class that involves velocity and flow.

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2024/2025

Uploaded on 05/07/2025

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CE 419 Assignment #7
Due May 2
Problems:
1. A water supply system is designed as shown in the diagram. Two pumps with the same
characteristics supply the water. The pumps are operated in parallel and station losses are
approximately equal to 1.5Q2 in each branch (Station losses are individual branch losses). All
other losses are “seen” by both pumps. All minor losses except the exit loss are represented in
the station loss term.
Pump characteristics:
Capacity (ft3/s) Head (ft)
0.0 400
1.0 385
2.0 350
3.0 280
4.0 170
5.0 20
Graph (please make the graph large and use a
spreadsheet to prepare the graph):
(a) The pump head curve of one pump.
(b) The branch head loss curve for one
branch.
(c) The modified pump head curve of one pump branch.
On a second graph, show:
(d) The modified pump head curve of one pump branch (repeat part c on second graph)
(e) The modified/combined pump head curve for two pumps in parallel.
(f) The system head curve.
Show the operating point of the system (give the discharge and head), and the operating point of
each pump – remember that the pump operating point is found on the pump head curve, not the
modified pump head curve.
2. Now put the pumps given in problem 1 in series. Assume that station losses are 1.5Q2, but
now station losses should be added to the system head curve since the pumps are no longer in
parallel.
On a third graph show:
(a) The pump head curve of one pump.
(b) The combined pump head curve for two pumps in series.
(c) The new system head curve.
Show the operating point for the system (give the discharge and head), and the operating point of
each pump – this time there is no modified pump curve to worry about.
Which of the two systems (parallel or series pumps) provides a larger discharge to the upper
reservoir?
El. 0’
El. 100’
D = 1’
L = 10000’
C = 120
Water is pumped from tank
to upper reservoir.
Pumps in parallel

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CE 419 Assignment

Due May 2

Problems:

1. A water supply system is designed as shown in the diagram. Two pumps with the same characteristics supply the water. The pumps are operated in parallel and station losses are approximately equal to 1.5Q^2 in each branch (Station losses are individual branch losses). All other losses are “seen” by both pumps. All minor losses except the exit loss are represented in the station loss term.

Pump characteristics: Capacity (ft^3 /s) Head (ft) 0.0 400 1.0 385 2.0 350 3.0 280 4.0 170 5.0 20

Graph (please make the graph large and use a spreadsheet to prepare the graph): (a) The pump head curve of one pump. (b) The branch head loss curve for one branch. (c) The modified pump head curve of one pump branch. On a second graph, show: (d) The modified pump head curve of one pump branch (repeat part c on second graph) (e) The modified/combined pump head curve for two pumps in parallel. (f) The system head curve.

Show the operating point of the system (give the discharge and head), and the operating point of each pump – remember that the pump operating point is found on the pump head curve, not the modified pump head curve.

2. Now put the pumps given in problem 1 in series. Assume that station losses are 1.5Q^2 , but now station losses should be added to the system head curve since the pumps are no longer in parallel.

On a third graph show: (a) The pump head curve of one pump. (b) The combined pump head curve for two pumps in series. (c) The new system head curve.

Show the operating point for the system (give the discharge and head), and the operating point of each pump – this time there is no modified pump curve to worry about.

Which of the two systems (parallel or series pumps) provides a larger discharge to the upper reservoir?

El. 0’

El. 100’

D = 1’ L = 10000’ C = 120

Water is pumped from tank to upper reservoir.

Pumps in parallel