| 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
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.
General Pump Performance Curve
Using Microsoft Excel:
1. For Pump A
The pump performance curve (manufacturer data) is approximated by the expression:
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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