do the result part of Thermal Fluids lab report , about the experiment
Results
The results of the experiment, along with the efficiency and uncertainty, are shown in the appendix.
|
Rotameter, SCFM |
Discharge Coefficient, C |
Flow Coefficient, K |
% Error |
Re d1 |
|
2.0000 |
0.1730 |
0.1978 |
14.3061 |
501.7953 |
|
3.0000 |
0.1574 |
0.1799 |
14.3061 |
752.6929 |
|
4.0000 |
0.1539 |
0.1759 |
14.3061 |
1003.5906 |
|
5.0000 |
0.1501 |
0.1715 |
14.3061 |
1254.4882 |
|
6.0000 |
0.1487 |
0.1700 |
14.3061 |
1505.3859 |
Table 1: Discharge and Flow Coefficient and Reynolds Number
Table 1 show the result for the discharge and flow coefficients along with the Reynolds number for that will also appear to be stationary. The best method for ensuring a correct measurement is to adjust the frequency until the shaft image appears stationary, and then double the of the lowest flow rate. The relative uncertainties are ± 0.001 for the pressure and ± 0.01 for the mdot.
Discharge Coefficient as function of Re
0.1450
0.1500
0.1550
0.1600
0.1650
0.1700
0.1750
0.0000
200.000
0
400.000
0
600.000
0
800.000
0
1000.00
00
1200.00
00
1400.00
00
1600.00
00
Reynolds Number
Discharge Coefficient
Figure 1: Discharge Coefficient as a function of Reynolds number
|
Rotameter |
Virtual Rotameter |
% Error |
|
2 |
0.27 |
86.5 |
|
3 |
0.44 |
85.33 |
|
4 |
0.6 |
85 |
|
5 |
0.77 |
84.6 |
|
6 |
0.93 |
84.5 |
Table 2: Results of Rotameter and Virtual Rotameter with calibrated Scale Factor
After a linear fit was performed, as seen in Figure 2, the calibrated Scale Factor found was 7.059. This value was still too low, resulting in a rather high percent error of about 86 %, as shown in Table 2.
The value for Scale factor needed to be adjusted. After trial and error, the value of 6.45 was found 1000 RPM. Generally you can just open the valve until you hear a perceptible change in motor speed, and then close the valve so that data can be recorded. Record the readings of speed, force, and input power. Continue this process until the housing is empty of fluid. Note that the no-load speed of the motor should be around 1400 to
|
Rotameter |
Virtual Rotameter |
% Error |
|
2 |
1.75 |
12.5 |
|
4 |
3.97 |
0.75 |
|
6 |
5.98 |
0.33 |
Table 3: Results of Rotameter and Virtual Rotameter with new calibrated Scale Factor
The new Scale Factor resulted in favorable percent errors of less than one percent with the exception of the lower flow that resulted in a percent error of 12 %.
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_1240887056.xls
Chart4
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| 752.6929329091 |
| 1003.5905772122 |
| 1254.4882215152 |
| 1505.3858658183 |
Sheet1
| Rotameter | Lab View-Virtual Rotameter | Y | Rotameter, SCFM | Discharge Coefficient, C | Flow Coefficient, K | % Error | Re d1 | |
| 2 | 0.27 | 0.6669975337 | 2.0000 | 0.1730 | 0.1978 | 14.3061 | 501.7953 | |
| 3 | 0.44 | 0.666993133 | 3.0000 | 0.1574 | 0.1799 | 14.3061 | 752.6929 | |
| 4 | 0.6 | 0.6669877042 | 4.0000 | 0.1539 | 0.1759 | 14.3061 | 1003.5906 | |
| 5 | 0.77 | 0.6669792095 | 5.0000 | 0.1501 | 0.1715 | 14.3061 | 1254.4882 | |
| 6 | 0.93 | 0.6669698093 | 6.0000 | 0.1487 | 0.1700 | 14.3061 | 1505.3859 | |
| 6.0599382988 | 0.3519171441 | Linest | ||||||
| 0.0367268988 | 0.0237126106 | |||||||
| d0 | 0.1875 | |||||||
| d1 | 0.53 | |||||||
| Beta | 0.3537735849 | |||||||
| M | 1.1430606068 | |||||||
| Ao | 0.0276116542 | |||||||
| k | 1.4 | |||||||
| mdot | ||||||||
| deltaP | Reservoir Pressure | Absolute Reservoir | Flowrate, SCFM | Rotameter, SCFM | Rotameter, slug/s | |||
| 0.071 | 6.4 | 3038.4 | 0.27 | 2 | 0.0000793333 | |||
| 0.193 | 5.9 | 2966.4 | 0.44 | 3 | 0.000119 | |||
| 0.359 | 6.7 | 3081.6 | 0.6 | 4 | 0.0001586667 | |||
| 0.59 | 6.1 | 2995.2 | 0.77 | 5 | 0.0001983333 | |||
| 0.865 | 6.3 | 3024 | 0.93 | 6 | 0.000238 | |||
| rho1 | Re d1 | |||||||
| 0.0033408101 | 501.7953 | |||||||
| 752.6929329091 | ||||||||
| 1003.5905772122 | ||||||||
| 1254.4882215152 | ||||||||
| 1505.3858658183 | ||||||||
| Rotameter | Virtual Rotameter | % Error | Rotameter | Virtual Rotameter | % Error | |||
| 2 | 0.27 | 86.5 | 2 | 1.75 | 12.5 | |||
| 3 | 0.44 | 85.3333333333 | 4 | 3.97 | 0.75 | |||
| 4 | 0.6 | 85 | 6 | 5.98 | 0.3333333333 | |||
| 5 | 0.77 | 84.6 | ||||||
| 6 | 0.93 | 84.5 |
Sheet1
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