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TRANSCRIPT
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UNIVERSITI TEKNOLOGI MARAFAKULTI KEJURUTERAAN KIMIACHEMISTRY ENG.LABORATORY
(CHE 315)
Checked by: Rechecked by:
No Title Allocated Marks (%) Marks (%)1. Abstract/Summary 52. Introduction 53. Aims/Objective 54. Theory 55. Procedure 36. Apparatus 57. Results 208. Calculations 109. Discussions 2010. Conclusions 10
11. Recommendations 512. References 513. Appendices 2
Total 100
NAME : AHMAD SHAZWAN BIN SHARIF MOHD
STUDENT NO : 2006254352EXPERIMENT : FLOWMETER DEMONSTRATION APPARATUS
DATE PERFORMED: 9 SEPTEMBER 2008
PROGRAMME CODE : DIPLOMA IN CHEMICAL ENGINEERING / EH 110
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CONTENTS
Title PageAbstract/Summary 3Introduction 4Objectives 5Theory 6Apparatus 7Procedures 8Results 9Calculations 11Discussions 15
Conclusions 16Recommendations 17References 18Appendices 19
ABSTRACT/SUMMARY
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This experiment which is flowmeter demonstration apparatus uses the specific hydraulic
model, which is the Flow Meter Test Rig (F1-21). This consists of venturi meter, variable
area meter, orifice plate installed in a series of configuration to allow direct comparisons.
The main objective of this experiment is to determine the operation and characteristics of
three different basic types of flow meter, including accuracy and energy losses by
measurement of flow rates and associated pressure losses. The three flow meters are
connected in series and uses timed volume collection to produce reference measurement
of flow rate. Hence, the application of the Bernoulli equation yields the result which
applies for both the venturi meter and the orifice plate. For venturi meter, Cd is 0.98 and
for the orifice plate, the Cd is 0.63. Next, the energy loss that occurs in pipe fitting(so-
called secondary loss) is commonly expressed in terms of a head loss, and can be
obtained from the monometer readings. For this experiment, head losses will becompared against the square of the flow rate used.
INTRODUCTION
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Fluid mechanics is the study of gases and liquids at rest and in motion. This area of
physics is divided into fluid statics, the study of the behavior of stationary fluids, and
fluid dynamics, the study of the behavior of moving, or flowing, fluids.
A variable area meter is a meter that measures fluid flow by allowing the cross sectionalarea of the device to vary in response to the flow, causing some measurable effect that
indicates the rate.
An orifice plate is basically a thin plate with a hole in the middle. It is usually placed in a
pipe in which fluid flows. As fluid flows through the pipe, it has a certain velocity and a
certainpressure. When the fluid reaches the orifice plate, with the hole in the middle, the
fluid is forced to converge to go through the small hole; the point of maximum
convergence actually occurs shortly downstream of the physical orifice, at the so-called
vena contracta point (see drawing to the right). As it does so, the velocity and the
pressure changes .An orifice gas meter consists of a straight length of pipe inside which
an orifice plate has been installed. The gas static pressure and its temperature must be
measured in addition to the differential pressure. Orifice meters are less accurate than
other measurement methods and they do not handle a large range of flow rates.
A tube with a decrease in the inside diameter that is used to increase the flow velocity ofthe fluid and thereby cause a pressure drop, used to measure the flow velocity (a
venturimeter) or to draw another fluid into the stream.
OBJECTIVE
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http://en.wikipedia.org/wiki/Velocityhttp://en.wikipedia.org/wiki/Pressurehttp://en.wikipedia.org/wiki/Vena_contractahttp://en.wikipedia.org/wiki/Velocityhttp://en.wikipedia.org/wiki/Pressurehttp://en.wikipedia.org/wiki/Vena_contracta -
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The objective in this experiment is to determine the operation and characteristics of three
different basic types of flow meters, including the accuracy and energy losses.
THEORY
Application of the Bernoulli equation yields the following result which applies for both
the Venturi meter and the orifice plate.
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Volume flow rate p
A
A
ACQ dv
=2
1
2
2
2
Where hgp
=
2
2
And h : head difference in m determined from the
manometer readings for the appropriate meter
g : acceleration due to gravity 2s
m
Cd
: discharge coefficient for the meter
A1: area of the test pipe upstream of the meter (m
2)
A2
: throat area of the meter (m2
)
Use of a discharge coefficient, Cd
, is necessary because of the simplifying assumptions
made when applying the Bernoulli equations. Values of this coefficient are determined by
experiment; the assumed values used in the software are:
Venturi meter Cd
= 0.98
Orifice plate Cd
= 0.63
The energy loss that occurs in a pipe fitting (so-called secondary loss) is commonly
expressed in terms of a head loss (h, meters), and can be determined from the manometer
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readings. For this experiment, head losses will be compared against the square of the flow
rate used.
APPARATUS
1. The hydraulics bench which allows us to measure flow by timed volumecollection.
2. The F1-21 flow meter apparatus
3. A stopwatch to allow us to determine the flow rate of water.
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PROCEDURES
1. The flow meter test rig was placed on the bench and ensured that it is level
(necessary for accurate readings from the manometer).
2. Then, the inlet was connected to the bench supply and the outlet pipe into the
volumetric tank, and the end of the pipe was secured to prevent it moving about.
The pump was started and the bench valve and rig flow control valve were
opened.
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3. In order to blade air from the pressure tapping points and manometer, both of the
bench and test rig valves were closed, then the air bleed screw was opened and the
cap from the adjacent air valve was removed.
4. A length of small bore tubing from the air was connected to the volumetric tank.
Next, the bench was opened and flow was allowed through the manometer tubes
to purge them of air. Then, air bleed screw was tightened slightly to allow air to
be drawn into the top of the manometers tubes. Re-tighten the screw when the
manometers levels reach a convenient height.
5. Finally, all manometer levels on scale were checked at the minimum flow rate
(full-scale reading on the variable area meter). This level can be adjusted further
by using the air bleed screw or the hand pump supplier.
Taking a set of result
1. At a fixed flow rate, all manometers height was recorded and the variable area
meter reading and timed volume collection was carried out using the volumetric
tank. This is achieved by closing the ball valve and measuring (with a stopwatch)
the time taken to accumulate a known volume of fluid in the tank, as measured
from the sight glass.
2. The fluid was collected for at least one minute to minimize timing errors.
RESULTS
Test pipe areaA1
(m2)
OrificeAreaA2
VenturiAreaA2
Volumecollected
V
Timeto
collect
Variablearea
meter
H1(mm)
H2(mm)
H3(mm)
H4(mm)
H5(mm)
H6(mm
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(m2) (m2) (m3) t(sec)
reading(L/min)
7.92x10-4 3.14x10-4 1.77x10-4 0.004 58 5 228 215 225 220 178 177.92x10-4 3.14x10-4 1.77x10-4 0.004 42 7 244 221 235 232 180 187.92x10-4 3.14x10-4 1.77x10-4 0.004 31 9 254 218 240 236 182 18
7.92x10-4
3.14x10-4
1.77x10-4
0.004 27 11 262 215 245 238 185 187.92x10-4 3.14x10-4 1.77x10-4 0.004 21 13 282 210 258 245 192 19
H7(mm)
H8(mm)
Timedflow rate
Qt(m
3/s)
Variablearea flow
rateQa
(m3/s)
Orificeplate flow
rateQo
(m3/s)
Venturimeter flow
rateQv
(m3/s)
Variablearea %
flow rateerror(%)
Orificeplate %flow rate
error(%)
Venturemeter %flow rateerror (%)
168 175 6.89 x 10-5 8.33 x 10-5 1.00 x 10-4 8.97 x 10-5 20.89 45.14 30.19
165 164 9.52 x 10-5 1.17 x 10-4 1.207x10-4 1.19 x 10-4 22.89 26.78 25.00158 158 1.29 x 10-4 1.50 x 10-4 1.57 x 10-4 1.49 x 10-4 16.28 21.71 15.50152 155 1.48 x 10-4 1.83 x 10-4 1.81 x 10-4 1.71 x 10-4 23.65 22.29 15.54141 148 2.22 x 10-4 2.50 x 10-4 2.22 x 10-4 2.11 x 10-4 12.61 0 0
Variable area head
loss (Ha)(m)
Orifice plate Head
Loss (H0)(m)
Venturi meter Head
loss (HV)(m)
Timed flow rate
squared (Q12)
0.042 0.004 0.003 4.747 x 10-9
0.052 0.017 0.009 9.063 x 10-9
0.054 0.027 0.014 1.664 x 10-8
0.053 0.033 0.017 2.190 x 10-8
0.053 0.047 0.024 4.928 x 10-8
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CALCULATIONS
For variable area meter reading 5L/min,
Timed flow rate, Qt (m3/s)
Qt = V/t
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= 0.004 m3
58 s
= 6.89 x 10-5 m3/s
Variable area flow rate, Qa (m3/s)
= 5 L/min (1m3 / 1000 L) (1 min / 60 s)
= 8.33x 10-5 m3 /s
Orifice plate flow rate, Qo (m3/s)
Orifice Plate Flow RateA2 = 3.1410-4m2
A1 = 7.9210-4m2
Qo
=
And where = h6-h7= (0.63)(3.14x10-4) [2(9.81)(0.179-0.168)]
[1-(3.14x10-4/7.92x10-4)2]
=1.00210-4m3/s
Venturi meter flowrate, Qv (m3/s)
Venturi Meter Flow RateA2 = 1.7710-4m2
A1 = 7.9210-4m2
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Qv
Where, =And where, = h1-h2
= (0.98)(1.77x10-4) [2(9.81)(0.228-0.215)][1-(1.77x10-4/7.92x10-4)2]
= 8.97 x 10-5m3/s
Variable area % flowrate error (%)
(Qa Qt) x 100%
Qt
= (8.33 x 10-5 6.89 x 10-5 ) x 100%
6.89 x 10-5
= 20.89 %
Orifice plate % flowrate error (%)
(Qo Qt) x 100%Qt
= (1.00 x 10-4 6.89 x 10-5) x 100%
6.89 x 10-5
= 45.14%
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Venturi meter % flowrate error (%)
(Qv Qt) x 100%
Qt
= (8.97 x 10-5 6.89 x 10-5) x 100%
6.89 x 10-5
= 30.19%
Variable area head loss (Ha)
Ha = h4 h5
= (0.220 0.178) m
= 0.042 m
Orifice plate head loss (Ho)
Ho = h6 h8
= (0.179 0.175)m
= 0.004 m
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Venturi meter head loss (Hv)
Hv = h1 h3
= (0.228 0.225)m
= 0.003 m
Timed flow rate squared (Qt2)
= Qt2
= (6.89 x 10-5)2
= 4.747 x 10-9
Note : All calculations for 7,9,11 and 13 must be repeated according to the examples
of calculations above.
DISCUSSIONS
The operation and characteristics of three different basic types of flow meter can be
compared in this experiment. The time taken for filling up of 4L will increase with the
variable area meter reading.
From the results, variable area meter reading are set up 5 (L/min), 7 (L/min),
9(L/min),11 (L/min),13 (L/min) and the result shows that the orifice plate head lost are
larger than the venturi meter head lost. At 5L/min, the Qa is 8.33 x 10-5 m3/s, Qo is
1.00 x 10-4m3/s, Qv is 8.97 x 10-5m3/s and Qt is 6.89 x 10-5m3/s. The percent error is
calculated by (Q Qt)/Qt x 100 where Q is Qo, Qv, or Qa.
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To conclude, there are some mistakes when reading the manometer level or there are
pressure tapping in the manometer variable area, orifice plate and venturi meter, % flow
rate error of each flow rates is not very consistent. The % of flow rate error depends on
the flow rate in each characteristic of three different basic types of flow meter. The error
occurs because there are some mistake when conducting this experiment and the results
obtained are not consistent because when the value for each tubes H1, H2 and so on, the
readings were not taken accurately because the water inside the tube was still moving
when the reading value has been taken and suppose that the water inside should not
moving, so then the value can be taken.
Other than that, the equipments were not set up appropriately so the pressure tapping
inside the tube was not been released early and it affected the result obtained. As given in
the theory, the value for venturi coefficient is Cd = 0.98 and also for the orifice coefficientis Cd = 0.63. From the data obtained for time need to be taken for each flow rate, the time
decreases when the variable area meter reading increases. This is due to the dealing with
the larger amount of water and time, since a lot of water can flow to the reservoir so it
can fill the reservoir for a short period of time.The orifice plate and venturi meter head
loss increases when variable area meter reading increases. The times flow rate squared
increases because time needed to collect 4L of water decreases.
CONCLUSION
In the experiment of the venturi meter, variable area meter and the orifice plate are
installed in a series configuration to permit direct comparison. It means that it is possible
to determine the three different basic types of flow meter, thus knowing the accuracy and
energy losses.For 5L/min the head lost for orifice plate is 0.004m and the venturi meter head lost
is 0.003m.When the variable area reading were added up, the head lost of orifice is
0.017 m and for the venture meter head lost is 0.009 m. Next at every add up of the
variable area reading the head lost still increases. The orifice plate and venturi shows a
big variation in flow rate errors, but the percent value between orifice and venturi is
slightly same, meaning that the different is not too large.
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. At 5L/min, the Qa is 8.33 x 10-5 m3/s, Qo is1.00 x 10-4m3/s, Qv is 8.97 x 10-5m3/s
and Qt is 6.89 x 10-5m3/s. Then, calculate the same result for 7, 9, 11 and 13L/min.
RECOMMENDATION
1. Make sure the hydraulics bench is in good condition.
2. Make sure to check all manometer levels are on scale at the maximum flow rate.
3. Make sure that the ball valve is fully closed in the sink when the reading are taken
to avoid errors.
4. Read the results at the manometer carefully by using ruler to avoid parallax error.
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5. Make sure the stopwatch is controlled perfectly and ensure that the stopwatch
starts and stops when the volume reach 0L to 4L.
6. Make sure to collect the fluid for at least one minute to minimize timing error.
REFERENCES
1. Christine John Geankoplis, Transport Processes And Separation Process Principle(Includes Unit Operations), 4th Edition, Pearson Education International.
2. Coulson, J.M. and Richardson J.F., Chemical Engineering, Volume 2, Third Edition
(SI Units), Pergamon.
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3. Chemical Engineering Laboratory (CHE 315) Manual. Abd Jamil Lam, Chemical
Engineering Faculty, UiTM Shah Alam, Selangor.
4. www.wikipedia.com
APPENDICES
Test pipe areaA1
(m2)
OrificeAreaA2
(m2)
VenturiAreaA2
(m2)
Volumecollected
V(m3)
Timeto
collectt
(sec)
Variablearea
meterreading(L/min)
H1(mm)
H2(mm)
H3(mm)
H4(mm)
H5(mm)
H6(mm
7.92x10-4 3.14x10-4 1.77x10-4 0.004 58 5 228 215 225 220 178 177.92x10-4 3.14x10-4 1.77x10-4 0.004 42 7 244 221 235 232 180 187.92x10-4 3.14x10-4 1.77x10-4 0.004 31 9 254 218 240 236 182 187.92x10-4 3.14x10-4 1.77x10-4 0.004 27 11 262 215 245 238 185 18
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7.92x10-4 3.14x10-4 1.77x10-4 0.004 21 13 282 210 258 245 192 19
H7
(mm)
H8
(mm)
Timed
flow rateQt(m
3/s)
Variable
area flowrateQa
(m3/s)
Orifice
plate flowrateQo
(m3/s)
Venturi
meter flowrateQv
(m3/s)
Variable
area %flow rateerror(%)
Orifice
plate %flow rateerror(%)
Venture
meter %flow rateerror (%)
168 175 6.89 x 10-5 8.33 x 10-5 1.00 x 10-4 8.97 x 10-5 20.89 45.14 30.19165 164 9.52 x 10-5 1.17 x 10-4 1.207x10-4 1.19 x 10-4 22.89 26.78 25.00158 158 1.29 x 10-4 1.50 x 10-4 1.57 x 10-4 1.49 x 10-4 16.28 21.71 15.50152 155 1.48 x 10-4 1.83 x 10-4 1.81 x 10-4 1.71 x 10-4 23.65 22.29 15.54141 148 2.22 x 10-4 2.50 x 10-4 2.22 x 10-4 2.11 x 10-4 12.61 0 0
Variable area head
loss (Ha)(m)
Orifice plate Head
Loss (H0)(m)
Venturi meter Head
loss (HV)(m)
Timed flow rate
squared (Q12)
0.042 0.004 0.003 4.747 x 10-9
0.052 0.017 0.009 9.063 x 10-9
0.054 0.027 0.014 1.664 x 10-8
0.053 0.033 0.017 2.190 x 10-8
0.053 0.047 0.024 4.928 x 10-8
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