MEC442 Pump Selection Assignment 2: Evaluate Head & Flow for Pump A and B in Series and Parallel Configurations

University Universiti Teknologi MARA (UiTM)
Subject MEC442 Fluid Mechanics II

Assignment

Your company has been assigned to evaluate two pumps; Pump A and Pump B to be used at piping system for transferring water from one large reservoir to another large reservoir that is at a higher elevation as shown in Figure 1. The free surfaces of both reservoirs are exposed to atmospheric pressure.

The piping system specifications at the various parameters are provided in Table 1. Kindly use the data for Hrequired or system curve

Water pump with piping system

Figure 1: Water pump with piping system

Table 1: Dimensions and minor loss coefficients for piping system

PARAMETER GROUP 1,
GROUP 5,
GROUP 9
GROUP 2,
GROUP 6,
GROUP 10
GROUP 3,
GROUP 7,
GROUP 11
GROUP 4,
GROUP 8,
GROUP 12
Pipe Diameter, D (cm) 2.03 2.03 2.03 2.03
Roughness, ɛ (mm) 0.25 0.25 0.25 0.25
KL, inlet 0.50 0.50 0.50 0.50
KL, valve 17.5 18 18.5 19
KL, elbow 0.92 0.90 0.88 0.86
KL, exit 1.05 1.05 1.05 1.05
Total pipe length, L (m) 176 180 185 190
Elevation difference, z2-z1 (m) 7 9 18 18

The performance curve (manufacturer data) for Pump A is given by an equation while Pump B is given in tabulated form. Kindly use the data for Havailable for both pump A and pump B to be installed in the same piping system in Figure 1 and Table 1.

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General Pump Performance Curve

MEC442 Pump Selection Assignment 2: Evaluate Head & Flow for Pump A and B in Series and Parallel Configurations

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Using Microsoft Excel:

1. For Pump A

The pump performance curve (manufacturer data) is approximated by the expression:

Havailable = H0 – aQ2
H0 = 24.4
a = 0.0678 m/Lpm2

By varying Q from 0 Lpm to 20 Lpm, plot the Hrequired and Havailable on a clearly labeled graph and determine the operating head and flow rate.

[20 Marks]

2. For Pump B

The impeller has uniform blade height of 50 mm, with the impeller inlet of 40 mm and outlet radius of 80 mm, respectively. The exit blade angle is 15° and that the tangential velocity component of the water entering the blade is zero. Assuming ideal flow conditions, fill in the pump performance curve (manufacturer data) as shown in Table 2 below.

Plot the Hrequired and Havailable versus Q from 0 Lpm to 30 Lpm. Clearly label the graph and indicate the operating point. State the equation represents by the curve.

Table 2: Pump B performance data

Q (LPM) H (m)
0
5
10
15
20
25
30

[20 Marks]

3. Evaluate the sum of Head and Volume Flow Rate, Q if Pump A and B connected in

a) Series

b) Parallel

[10 Marks]

Show all work, calculations, and tabulated data.

[Note: Assume density of water is 1000 kg/m3 and viscosity is 1.002 × 10-3 kg/m⋅s]

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