do the result part of Thermal Fluids lab report , about the experiment

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sample_me_491_lab_experiment.doc

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.

image1.wmf

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 %.

PAGE

2

_1240887056.xls

Chart4

501.7952886061
752.6929329091
1003.5905772122
1254.4882215152
1505.3858658183
Reynolds Number
Discharge Coefficient
Discharge Coefficient as function of Re
0.17302136
0.1574143664
0.1538927171
0.1500565061
0.1487168401

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

0
0
0
0
0
Lab View-Virtual Rotameter
Virtual Rotameter
Rotameter
Calibration Plot
0
0
0
0
0

Sheet2

0
0
0
0
0
Reynolds Number
Discharge Coefficient
Discharge Coefficient as function of Re
0
0
0
0
0

Sheet3