Flow Measurement Data
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Height (cm) 1.3 3.2 4.1 5.3 6.4 7.7 Mass of Water (kg) 0.72 1.56 2.04 2.54 3.12 3.86 Temperature of Water (C) 18 18 18 18 18 18 Denisty of Water 998.6 998.6 998.6 998.6 998.6 998.6 Volume of Water (m3) 0.000721 0.001562 0.002043 0.002544 0.003124 0.003865 Time (s) 5 5 5 5 5 5 Volumetric Flow Rate (m3/s) 0.000144 0.000312 0.000409 0.000509 0.000625 0.000773 Measured Flow Rate (m/s) 0.000132 0.000319 0.000407 0.000525 0.000634 0.000761 Percent Error 9.6 1.9 0.3 3.1 1.4 1.5 0 1 2 3 4 5 6 7 0 0.0001 0.0002 0.0003 0.0004 0.0005 0.0006 0.0007 0.0008 0.0009 0.001 f(x) = 9.84073825371798E-05 x + 3.69822176 R² = 0.99823659823377 The Relationship Between the Height of Rotameter and Volumetric Flow Rate Height of Bobber (cm) Volumetric Flow Rate (m3/s)
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Data Acquisition and Handling (CHEG 2810) data for Lab 1
Transcript of Flow Measurement Data
Height (cm) 1.3 3.2 4.1 5.3 6.4 7.7 8.9Mass of Water (kg) 0.72 1.56 2.04 2.54 3.12 3.86 4.42
Temperature of Water (C) 18 18 18 18 18 18 18Denisty of Water 998.6 998.6 998.6 998.6 998.6 998.6 998.6
Volume of Water (m3) 0.000721 0.001562 0.002043 0.002544 0.003124 0.003865 0.004426Time (s) 5 5 5 5 5 5 5
Volumetric Flow Rate (m3/s) 0.000144 0.000312 0.000409 0.000509 0.000625 0.000773 0.000885
Measured Flow Rate (m/s) 0.000132 0.000319 0.000407 0.000525 0.000634 0.000761 0.000880Percent Error 9.6 1.9 0.3 3.1 1.4 1.5 0.6
0 1 2 3 4 5 6 7 8 9 100
0.0001
0.0002
0.0003
0.0004
0.0005
0.0006
0.0007
0.0008
0.0009
0.001
f(x) = 9.84073825371798E-05 x + 3.69822176188599E-06R² = 0.99823659823377
The Relationship Between the Height of a Rotameter and Volumetric Flow Rate
Height of Bobber (cm)
Volu
met
ric F
low
Rat
e (m
3/s)
cmkgCkg/m3
0 1 2 3 4 5 6 7 8 9 100
0.0001
0.0002
0.0003
0.0004
0.0005
0.0006
0.0007
0.0008
0.0009
0.001
f(x) = 9.84073825371798E-05 x + 3.69822176188599E-06R² = 0.99823659823377
The Relationship Between the Height of a Rotameter and Volumetric Flow Rate
Height of Bobber (cm)
Volu
met
ric F
low
Rat
e (m
3/s)
0 1 2 3 4 5 6 7 8 9 100
0.0001
0.0002
0.0003
0.0004
0.0005
0.0006
0.0007
0.0008
0.0009
0.001
Experimantal Data Compared to Theoretical Data
TheoryExperimental
Height of Bob (cm)
Volu
met
ric F
low
Rat
e (m
3/s)
0 1 2 3 4 5 6 7 8 9 100
0.0001
0.0002
0.0003
0.0004
0.0005
0.0006
0.0007
0.0008
0.0009
0.001
Experimantal Data Compared to Theoretical Data
TheoryExperimental
Height of Bob (cm)
Volu
met
ric F
low
Rat
e (m
3/s)
Pressure (mmHg) 7.8 8.7 8.7 11.6 11.6√(Pressure) (√(mmHg)) 2.793 2.950 2.950 3.406 3.406
Mass of Water (Kg) 0.64 2.26 2.18 2.88 2.72Temperature of Water (C) 19 19 19 19 19
Denisty of Water 998.4 998.4 998.4 998.4 998.4Volume of Water (m3) 0.0006410256 0.0022636218 0.0021834936 0.0028846154 0.002724359
Time (s) 5 5 5 5 5Volumetric Flow Rate (m3/s) 0.000128 0.000453 0.000437 0.000577 0.000545
Measured Flow Rate (m/s) 0.0000239 0.0000252 0.0000252 0.0000291 0.0000291
√(Pressure) (√(mmHg)) 2.793 2.950 3.406 3.821 4.382Average of Water Mass 0.64 2.22 2.8 3.44 3.75
Average Volume of Water 0.0006410256 0.0022235577 0.0028044872 0.0034455128 0.0037560096Average Flow Rate 0.0001282051 0.0004447115 0.0005608974 0.0006891026 0.0007512019
0.000441634 0.0004715691 0.0004715691 0.0005587226 0.0005587226Percent Error 244.5 6.0 15.9 18.9 25.6
I left out the first data because it is an outlier ~ Alex
2.500 3.000 3.500 4.000 4.500 5.0000
0.0001
0.0002
0.0003
0.0004
0.0005
0.0006
0.0007
0.0008
0.0009
f(x) = 0.000191199114956948 x − 9.18405189349225E-05R² = 0.946037999683892
14.6 14.6 19.2 19.2 22.1 22.13.821 3.821 4.382 4.382 4.701 4.701
3.36 3.52 3.74 3.76 3.96 3.819 19 19 19 19 19
998.4 998.4 998.4 998.4 998.4 998.40.0033653846 0.00352564 0.00374599 0.00376603 0.00396635 0.00380609
5 5 5 5 5 50.000673 0.000705 0.000749 0.000753 0.000793 0.000761
0.0000327 0.0000327 0.0000375 0.0000375 0.0000402 0.0000402
4.7013.88
0.00388621790.0007772436
0.0006380117.9
2.500 3.000 3.500 4.000 4.500 5.0000
0.0001
0.0002
0.0003
0.0004
0.0005
0.0006
0.0007
0.0008
0.0009
f(x) = 0.000191199114956948 x − 9.18405189349225E-05R² = 0.946037999683892
% Maximum Flow 6.9 6.7 23.7 23.7 28.4Mass of Water (Kg) 0.70 0.64 2.16 2.26 2.68
Temperature of Water (C) 19 19 19 19 19Denisty of Water 998.4 998.4 998.4 998.4 998.4
Volume of Water (m3) 0.0007011218 0.00064103 0.00216346 0.00226362 0.00268429Time (s) 5 5 5 5 5
Volumetric Flow Rate (m3/s) 0.0001402244 0.00012821 0.00043269 0.00045272 0.00053686Maximum Flow Rate(m3/s) 0.0020322371 0.00191351 0.00182571 0.00191023 0.00189035
Average Maximum Flow Rate 0.0019244121
Measured Flow Rate (m3/s) 0.0001327844 0.00012894 0.00045609 0.00045609 0.00054653Percent Error 5.3 0.6 5.4 0.7 1.8
Averaged Data 6.9 6.7 23.7 28.4 32.5Avg mass of water 0.7 0.64 2.21 2.74 3.07
Avg Volumetric Flow Rate 0.0001402244 0.00012821 0.00044271 0.00054888 0.00061498Avg Measured Flow Rate 0.0001327844 0.00012894 0.00045609 0.00054653 0.00062543
Percent Error 5.31 0.57 3.02 0.43 1.70
I don't think you need to use this graph ~Alex
28.4 32.5 32.5 42.7 42.72.80 3.10 3.04 4.28 4.06
19 19 19 19 19998.4 998.4 998.4 998.4 998.4
0.00280449 0.00310497 0.00304487 0.00428686 0.004066515 5 5 5 5
0.0005609 0.00062099 0.00060897 0.00085737 0.00081330.00197499 0.00191075 0.00187377 0.0020079 0.00190469
0.00054653 0.00062543 0.00062543 0.00082172 0.000821722.6 0.7 2.7 4.2 1.0
42.74.17
0.000835340.00082172
1.63
Rotameter (cm) 1.4 1.4 5 5 6.4 6.4Orifice Plate (mmHg) 7.5 7.5 10 10 19.4 19.4
Magnetic Flow Meter (% max flow) 6.8 6.8 25.3 25.3 32.3 32.3Mass of Water (kg) 0.64 0.6 2.34 2.36 3.08 3.12
Temperature of Water (C) 19 19 19 19 19 19Denisty of Water 998.4 998.4 998.4 998.4 998.4 998.4
Volume of Water (m3) 0.0006410256 0.000601 0.002344 0.002364 0.003085 0.003125Time (s) 5 5 5 5 5 5
Volumetric Flow Rate (m3/s) 0.0001282051 0.00012 0.000469 0.000473 0.000617 0.000625
Averaged DataRotameter 1.4 5 6.4
Orifice Plate 7.5 10 19.4Magnetic Flow Meter 6.8 25.3 32.2
Mass of Water 0.62 2.35 3.1Volumetric Flow Rate 0.0001241987 0.000471 0.000621Rotameter Calculated 0.000141472 0.000496 0.000634
Orifice Plate Calculated 0.0013425 0.00182 0.003615Magnetic Flow Meter Calculated 0.000136 0.000506 0.000644
Percent Error%E Rotameter 13.907778065 5.309533 2.017478
%E Orifice Plate 980.92903226 286.6145 482.196%E Magnetic Flow Meter 9.5019354839 7.487319 3.704774
9.841E-05*x + 3.698E-06
1.91E-04x - 9.18E-052E-05x
