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MEM554 – Thermalfluids Lab Centrifugal Pump
TABLE OF CONTENTS
Page
Table of Contents ……………………………………………………………………………. 0
Title ……………………………………………………………………………………………….. 1
1. Objective ……….…………………………………………………………………………….. 1
2. Introduction ……………….………………………………………………………………. 1-2
3. Theoretical Background ………………………………………………………………. 3-5
4. Apparatus ……………………………………………………………………………………. 6-7
5. Experimental Procedure ……………………………………………………………… 8
6. Data and Results …………………………………………………………………………. 9-11
7. Sample Calculation ……………………………………………………………………… 12-13
8. Analysis Results …………………………………………………………………………… 14-15
9. Discussion …………………………………………………………………………………… 16-22
10. Conclusion ………………………………………………………………………………… 23-26
11. Appendix ………………………………………………………………………………….. 27
12. References ………………………………………………………………………………. 28
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MEM554 – Thermalfluids Lab Centrifugal Pump
TITLE : CENTRIFUGAL PUMP
1. OBJECTIVE
The objectives of this experiment are toobtain the performance characteristics of a centrifugal
pump at three different impeller speeds.
The performance characteristics of pump are:
Pressure (head) jump
Power requirement
Flow rate influence
Pump speed influence
2. INTRODUCTION
A pump is a device used to move gases, liquids, or slurries. A pump moves liquids or
gases from lower pressure to higher pressure, and overcomes this difference in pressure by
adding energy to the system (such as a water system). A gas pump is generally called a
compressor.The earliest pump was described by Archimedes in the 3rd century BC and is
known as the Archimedes screw pump. Pumps work by using mechanical forces to push the
material, either by physically lifting, or by the force of compression.
Pumps fall into three categories: positive displacement, kinetic (centrifugal), and jet. Their
names describe the method for moving water.
i. A positive displacement pump causes a fluid to move by trapping a fixed volume of
water and then forcing (displacement) that trapped volume into the receiving pipe.
Positive displacement pumps can be further classified as either rotary-type (for
example the rotary vane pump) or reciprocating-type (for example the diaphragm
pump).
ii. A centrifugal pump causes a fluid to move by transferring the kinetic (rotational)
energy from a motor (through an impeller) into water pressure (potential energy).
iii. A eductor-jet pump is special type of pump without moving parts that uses the kinetic
energy of a fluid to increase the pressure of a second fluid.
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MEM554 – Thermalfluids Lab Centrifugal Pump
A centrifugal pump is one of the simplest pieces of equipment. Its purpose is to convert
energy of an electric motor or engine into velocity or kinetic energy and then into pressure of
a fluid that is being pumped. The energy changes occur into two main parts of the pump, the
impeller and the volute. The impeller is the rotating part that converts driver energy into the
kinetic energy. The volute is the stationary part that converts the kinetic energy into pressure.
Liquid enters the pump suction and then the eye of the impeller. When the impeller rotates, it
spins the liquid sitting in the cavities between the vanes outward and imparts centrifugal
acceleration. As the liquid leaves the eye of the impeller a low pressure area is created at the
eye allowing more liquid to enter the pump inlet.
Centrifugal Pumps are classified into three general categories:
i. Radial Flow - a centrifugal pump in which the pressure is developed wholly by
centrifugal force.
ii. Mixed Flow - a centrifugal pump in which the pressure is developed partly by
centrifugal force and partly by the lift of the vanes of the impeller on the liquid.
iii. Axial Flow - a centrifugal pump in which the pressure is developed by the
propelling or lifting action of the vanes of the impeller on the liquid.
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MEM554 – Thermalfluids Lab Centrifugal Pump
3. THEORY:
One of the most common radial-flow turbo machines is the centrifugal pump. The
type of pump has two main components: an impelleer attached to a rotating shaft and a
stationary casing (or housing) enclosing the impeller. Schematic diagram of basic elements of
centrifugal pump is as shown below.
Figure 3.1: Basic Elements of a Centrifugal Pump
Energy is added to the fluid by the rotating blades, and both pressure and absolute velocity
are increased as the fluid dlows from the eye to the periphery of into the blades. The kinetic
energy is converted into further increase in pressure as the fluid flows from the impeller into
the casing enclosing the impeller.
Due to the general complexity of flow through a centrifugal pump, the actual
performance of the pump cannot be predicted on a completely theoretical basis. Actual pump
performance is determined experimentally through tests on the pump and the results are
presented as pump performance curves. Performance characteristics for a givenpump
geometry and operating speed are usually given in the form of plots of head rise, efficiency
and power versus flow rate (commonly referred as capacity). This information is most helpful
to the engineer responsible for incorporating pumps into a given pipe flow system.
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Discharge
Blade
Hub plate
Impeller
Casing, housing or volute
Inflow
Eye
MEM554 – Thermalfluids Lab Centrifugal Pump
Consider the experimental arrangement for determining the head rise (or pressure rise) gained
by a fluid flowing through a pump, as shown schematically below.
Figure 3.2: Experimental Arrangement for Pump Performance Characteristics
The pump head rise can be expressed using the energy equation as
h2 = ( p2−p1)/ ρg + ( z2−z1 ) + (V 22−V 1
2 ) / 2g (1)
Typically the differences in elevations and velocities (between inlet and outlet) are so small
so that
hp = ( p2−p1) / pg (2)
The power, Pf gained by the fluid is given by the equation
Pf = ρgQ hp (3)
The pump overall efficiency, η , is the ratio of power actually gained by the fluid to the shaft
power supplied W shaft as given by the equation
η = Pf / W shaft (4)
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Z2 – Z1
P1
P2
MEM554 – Thermalfluids Lab Centrifugal Pump
Where, W shaft the shaft power, is the product of the Torque applied to the shaft and the angular
velocity, ω.
W shaft = Tshaftω (5)
Where
ω = 2 πN60
Typical performance curve for the axial centrifugal pump of a given size operating at
constant speed is shown below:
Figure 3.3: Typical Performance Characteristics of an Axial Centrifugal Pump
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MEM554 – Thermalfluids Lab Centrifugal Pump
4. APPARATUS
The experimental set-up consists of:
I. Water-flow bench and centrifugal pump
II. Instrumentation for data acquisition consists of;
Instrument panel:
a) Speed Control to change pump speed. Pump speed can varied over
range of 0-3000 rpm.
b) Pump suction and delivery pressure.
c) Torque measurement.
Flow measurement using “V” notch weir
a) Flow rate in the system can be measured relating to the height of the
water seen in the glass to graph T1 (Appendix) and the reading off the
flow rate in liter per minute.
Speed measurement
a) Pump motor speed measurements are made using digital tachometer.
Figure 4.1 : Centrifugal Pump Apparatus
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Motor
Torque reading
Inlet pressure reading
Valves
Discharge pressure reading
MEM554 – Thermalfluids Lab Centrifugal Pump
Figure 4.2 : Water – flow bench
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MEM554 – Thermalfluids Lab Centrifugal Pump
5. PROCEDURE
Preliminaries
1. Students will be adequately supervised
2. Pump discharge and suction valves is turn to fully open and motor speed control is
turn to zero.
3. The electrical supply and motor drive switch is switch on. Motor control knob is
adjusted slowly to around half way position. Ensure that there are no leaks in the
system. All gauges etcis checked. The motor speed is reduced back to zero. The
apparatus is ready for testing.
Actual Experiment
1. Suction valve is opened and discharge valve is closed. Speed control is adjusted to
50% and maximum pump speed N1 is selected.
2. Discharge valve is fully open and allow water to circulate. The volume of flow is
indicated and suitable increments in flow are decided to give adequate sample points
(about 15 points between zero and maximum flow).
3. The discharge valve is closed (corresponding to no flow). Read all measurements
when the measured readings are ready.
4. Discharge valve is open slightly, to give the first increment in volume flow. Take the
measurements when readings are steady
5. Step 4 is repeated. The valve is fully open correspon to the final measurements.
6. The entire experiment is repeated at pump speed correspond to speed control position
of 75% and 100%.
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MEM554 – Thermalfluids Lab Centrifugal Pump
7. SAMPLE CALCULATION
Sample calculation:
Constants:
ρ = 1000 kg/m3
g = 9.81 m/s2
1 hp = 746 W
For N = 1439 rpm,
ω=2 πN60
ω=2 π (1439)
60
ω = 150.69 rad/s
For torque = 0.9 Nm
Shaft power,
Ẇshaft = Tshaft ω
= (0.9 Nm) (150.69 rad/s)
= 135.62 W
BHP = Ẇshaft ÷ 746 x 100
= 135.62 W ÷ 746
= 18.2 %
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MEM554 – Thermalfluids Lab Centrifugal Pump
For volume flow rate, Q = 46 L/min
Q = 46 L/min ÷ (1000 m3) (60s)
= 0.8 x 10-3 m3/s
Water head , h=( P2−P1)
ρg
= (55158.06 – 490.32) N/m2 ÷ (1000 kg/m3) (9.81 m/s2)
= 5.57 m
Output power=ρgQh
= (1000 kgm-3) (9.81 ms-2) (0.8 x 10-3 m3/s)( 5.57 m)
= 43.71 W
Efficiency ,η=Output powerẆ shaft
x 100
= (43.71 W) ÷ (135.62 W) x 100
= 32.2 %
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MEM554 – Thermalfluids Lab Centrifugal Pump
9. DISCUSSION
Nursyafawani Kasram Binti Mohd Hisham2014802024
From the experiment, characteristics of a centrifugal pump ran at different speeds (N1 = 1439
rpm, N2 = 2178 rpm and N3 = 2945 rpm) are observed and drawn in graphs. These
characteristics curves are essential in defining the properties of a pump, since only size and
shape cannot be sufficient to select a pump for certain purpose. Standard test were done
according to the procedures defined by the lab manual and characteristics curves are drawn as
shown in Figure 1, Figure 2 and Figure 3.
From the pump performance curves, it can be predicted that the maximum volume
flow rate through a pump occurs when its net head is zero, H = 0. This flow rate is called the
pump’s free delivery. The free delivery condition is achieved when there is no flow
restriction at the pump inlet or outlet or when there is no load on the pump. At this operating
point, Q is large, but H is zero and the pump’s efficiency is zero because the pump is doing
no useful work. At the other extreme, the shutoff head is the net head that occurs when the
volume flow rate is zero, Q = 0, and is achieved when the outlet port of the pump is blocked
off. Under this condition, H is large but Q is zero. The pump’s efficiency is again zero
because the pump is doing no useful work. Between these two extremes, from shutoff to free
delivery, the pump’s net head may increase from its shutoff value somewhat as the flow rate
increases, but H must eventually decrease to zero as the volume flow rate increases to its free
delivery value. The pump’s efficiency will reaches its maximum value somewhere between
the shutoff condition and the free delivery condition; this operating point of maximum
efficiency is appropriately called the best efficiency point (BEP).
For output power and volume flow rate obtained from the experiment, it can be seen
from Table 1 to Table 3 that the increased number of value in volume flow rate due to water
height is increasing in the matter of time. While for output power, there are inclined and
declined values can be seen from the tables. By comparing all these three speeds, it can be
said that the higher speed used in the experiment, the bigger number of output power will be
produced.
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MEM554 – Thermalfluids Lab Centrifugal Pump
The efficiency of the pump for each test increases to a certain point and then decreases as
shown in Figure 1 to Figure 3. This is because of the increasing frictional losses in the long
blade passages of these narrow impellers. Since impeller blade have finite thickness, an
impellers with too many blades leads to passage losses due to excessive flow and large skin
friction drag. Also, the efficiencies depend upon the design of the machine, shape of the blade
and, hence, the capacity handled. The value of the effectiveness of the experiment data is
increasing due to the increasing value of the speed. The higher value of efficiency will give
the better performance of the operated machine. To get the better efficiency, the rate of power
output and input must be bigger.
It can be concluded from the experiment that the pump with speed of N = 1439 rpm
has the best performance since its line of efficiency intersect both lines of head and BHP at
one point which is called the best efficiency point. It occurs at 0.19 m 3/s with the efficiency
of 28.5%. While, the other line of efficiency for N = 2178 rpm and also for N = 2945 rpm
only intersect with the line of head which it cannot produce the best efficiency point.
The error that may occur during the experiment is parallax error when taking the data
reading of water height and pressure value for inlet pressure. While adjusting the discharge
water pressure, the machine causes other apparatus, such as the discharge pipe to vibrate
extremely hard. This may be due to the material of pipe which it cannot absorb the vibration,
and a steel pipe is recommended in this situation.
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MEM554 – Thermalfluids Lab Centrifugal Pump
NUR HAEZAH BINTI OTHMAN2014444256
The main objective of this experiment is to obtain performance characteristics for a
variable speed centrifugal pump operating at 3 different impeller speeds. The performance
characteristics of pump are pressure (head) jump, power requirement, flow rate influence and
pump speed influence. Pump speed was adjusted to 3 variables that were 1439 rpm, 2178 rpm
and 2945 rpm. The performance characteristics of the pump that we want to find are pressure
head, power requirement, flow rate influence and pump speed influence.
For each test, as the water height increases, the torque (T) also increases. as the torque
increased, the brake horsepower also increased. For test 1, the graph showed that the water
head (h) decreased with increasing of volume flow rate while the output power increased at
the beginning and ending. For the graph efficiency (η) versus flow rate (Q), we get the
efficiency curve increasing until 34.7% and the drop until 20.6%. The max point at
approximately at value of 88 l/min where the maximum efficiency is 34.7% at water head
4.27 m and output power of 62.83 W.
For test 2, the graph efficiency (η) versus flow rate (Q) that we have plotted it follow
the same nature as the previous speed but the maximum efficiency is 45.0% at the flow rate
of 123 l/min. While in test 3, the graph efficiency (η) versus flow rate (Q) that we have
plotted it follow the same nature as the previous speed but the maximum efficiency is 50.9%
at the flow rate of 173 l/min. Error might occur during the experiment. The level of water
might not exactly at zero when the readings are taken. Other error that occurred during the
experiment is water in the tank always waving and not stable. So, it is hard for us to get the
accurate readings of the water height.
In order to overcome this problems, we must consider during the experiment that is:
1. The apparatus must be checked carefully to make sure it is in a good condition before
carrying the experiment because it may effects the results of the experiment.
2. The reading at the pump suction and delivery pressure gauges must be read with more
carefully to avoid any error.
3. The reading should be taken several times and the average value should be taken to
know the average reading that more accurate.
4. The eyes must sharp and perpendicular to the calibration scale of the water level.
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MEM554 – Thermalfluids Lab Centrifugal Pump
After the result was drawn into graph, we could see that efficiency increase first and
decrease later as flow rate increasing, break horse power was directly proportional to flow
rate and pump head was inversely proportional to flow rate. Efficiencies depend upon the size
of the machine and, hence, the capacity handled. The larger the machine, the higher is the
efficiency. However, the higher value of efficiency will gives the best performance of
operated machine. The rate of power output and input must be bigger in order to get the better
efficiency.
Based on this experiment, it can be concluded pump which its speed of N = 1439 rpm
has the best performance because it has resulted the intersection of its line of efficiency with
the line of head and break horse power(bhp). The intersection line at this one point is known
as the best efficiency point of the pump. It intersects at the flow rate of 0.19 m 3/s where the
efficiency of 28.5%. Meanwhile, both of the pump where its speed are N= 2178 rpm and N =
2945 rpm cannot produce the best efficiency point since the line of efficiency just only
intersects with the line of head.
The efficiency of the system can be increased by several ways. The examples are by
increasing clearances as impellers reduce in size, by using smoother surface finish of the
pump and tube, power supplied to drive the pump and by increasing the power supplied to
drive the pump.
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MEM554 – Thermalfluids Lab Centrifugal Pump
Muhammad Afiq Bin Kamil2013463544
This “Fluid Machinery-Centrifugal Pump” experiment is about to study about the
performance characteristics of the centrifugal pump with different impeller speeds. There are
4 performance characteristics of the centrifugal pump which are pressure (head) jump, power
requirement, flow rate influence and pump speed influence.
Based on the result obtained, the graphs of pump performance were plotted by
varying the 3 different impeller speeds. From graph 1 with impeller speed 50% (1439rpm),
the water head decrease when volume flow rate increase. Theoretically, if the total head at the
zero flow rate is the maximum head and also called the shut-off head, the total head decreases
as the flow increase. The trend of the graph BHP against volume flow rate showed the
increment. Theoretically, the trend of BHP should be decrease. There is some error during
conducting this experiment that influences the different between experimental result and the
theoretical. The relation between torque and BHP is donated by the equation (BHP=T x ω).
For the graph efficiency against volume flow rate, the efficiency increase as the flow rate
increase. After the efficiency reached the peak, the efficiency is slightly decreased as the flow
rate increase. The best efficiency point recorded is 34.7% which is correspond with BHP at
24.2 hp and head at 432.2 m.
From the graph 2 (speed at 2178 rpm) for the water head against volume flow rate, the
trend showed that the decrement of the water head as the volume flow rate decreased. The
graph of BHP was not satisfied according to the theory. Based on the graph of BHP against
flow rate, the BHP increased as the flow rate increased. The best efficiency point recorded is
44.8% which is correspond with BHP at 70.3 hp and head at 1144.8 m. By comparing the
efficiency between impeller speed 1439 rpm and 2178 rpm, the efficiency of impeller speed
2178 rpm is greater than the impeller speed 1439 rpm.
20
MEM554 – Thermalfluids Lab Centrifugal Pump
From the graph 3 with impeller speed 2945 rpm, the head decreased as the volume
flow rate increased. The BHP also increased when the volume flow rate increased. The trend
of graph of pump efficiency against volume flow rate showed the increment and decrement.
The best efficiency point recorded is 51% which is correspond with BHP at 165.4 hp and
head at 2208m. By comparing the pump efficiency of the 3 different speeds, the impeller
speed with 2945 rpm showed the highest pump efficiency compared to others. We can say
that the efficiency increased as the impeller speeds increase.
There some errors influenced the result obtained from the experiment. Firstly, the
parallax error occurred when the observer taking the reading. Secondly, is the equipment
problem also influenced the result obtained.
21
MEM554 – Thermalfluids Lab Centrifugal Pump
Mohamad Faiz Bin Mhd Noor2013413702
Centrifugal pumps are a sub-class of dynamic axisymmetric work-absorbing turbomachinery. Centrifugal pumps are used to transport fluids by the conversion of rotational kinetic energy to the hydrodynamic energy of the fluid flow. The rotational energy typically comes from an engine or electric motor.
From the experiment, characteristics of a centrifugal pump ran at different speeds (N1 = 1439 rpm, N2 = 2178 rpm and N3 = 2945 rpm) are observed and drawn in graphs. The graphs of pump performance were plotted by varying the 3 different impeller speeds. From graph 1 with impeller speed 50% (1439rpm), the water head decrease when volume flow rate increase. Theoretically, if the total head at the zero flow rate is the maximum head and also called the shut-off head, the total head decreases as the flow increase.
From the calculation of the result, we can see that as we increase the volume flow rate of the pump, the pressure of the pump will slightly decrease. Then, the efficiency and water head will increase. But, for the water head, it shows the decrease value. Each speed of the pump gives the different value of the result. Beside that we can know the efficiency of the pump sudden drop as the increasing of the volume flow rate. From the pump performance curves, it can be predicted that the maximum volume flow rate through a pump occurs when its net head is zero, H = 0. This flow rate is called the pump’s free delivery. The free delivery condition is achieved when there is no flow restriction at the pump inlet or outlet or when there is no load on the pump
From the Figure 1 which is the graph of Pump Performance Curves for N = 1439 rpm, it can be said that at this speed the pump has its best performance. This is because its line of efficiency intersect with both lines of head and BHP at one point. This point is called the best efficiency point. We make a straight line across this point to get the value and we found that its occur at 0.19 m3/s with the calculated efficiency is 28.5%. The other line of efficiency for N=2178 rpm and N=2945 rpm onlu intersect with line head so it cannot produce the best efficiency point
When we want to increase the efficiency of the system we must choose the backward-inclined blades centrifugal pump instead of radial blades or forward inclined blades centrifugal pump.
22
MEM554 – Thermalfluids Lab Centrifugal Pump
There were some error occur while do the experiment and this affect the calculation result of the experiment. The error happen such as below:
- Parallax error o This error occur when the observer take the reading of the value for the
equipment in the experiment. o The wrong sight will little bit affect the reading of the experiment data.
- Equipment problemo The error of the equipment also affect the result of calculation and this will
make the error for the data later.
Some precaution must be take an action, there are:
- Make sure the observer eye is in the right way in order to take the reading of the data to avoid any error occur.
- Ensure that all the equipment in the good condition before start the experiment.- Make sure all the safety aspects have followed while do the experiment.
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MEM554 – Thermalfluids Lab Centrifugal Pump
10. CONCLUSION
Nursyafawani Kasram Binti Mohd Hisham2014802024
From the experiment, the characteristics of this pump which is the efficiency, brake
horsepower and the head can be defined by using three different speeds of pump. Based on
the graph obtained from the data result, it can be seen that the entire graph are incline at first
and then slowly it started to decline.
However, it is to be noted that some of the value of readings obtained may be
inaccurate due to certain errors that occurred during the experiment such as parallax error and
the error due to the apparatus itself. Yet it still leads and produced the expected results
accordingly and as required. Thus, the objective of this experiment is achieved in order to
define any centrifugal pump characteristics.
Last but not least, it can be concluded that the best performance of this centrifugal
pump to operate is at speed N1 = 1439 rpm since it produced the best efficiency point at 0.19
m3/s with the efficiency of 28.5%. While, when the pump was operated at the other two
speeds, it does not produce the best efficiency point.
24
MEM554 – Thermalfluids Lab Centrifugal Pump
Nur Haezah Binti Othman2014444256
As a conclusion, the brake horse power, (bhp) and efficiency, η are rising with the
increasing of flow rate. Meanwhile, the head, H approximately constant at low discharge and
then drop as flow rate increases for a given speed and impeller size. The highest efficiency of
the pump is the best condition for the pump to operate. Thus, performance curves of the type
are very important to the engineer as possible for the selection of pumps for a particular flow
system. In order to select a pump for a particular application, it is necessary to utilize both the
system curve, as determined by the system equation, and the pump performance curve.
Besides, the horsepower required to drive the pump rises monotonically with the flow rate.
Lastly, we can said that the experiment is achieved its objective to obtain and analyze
the performance characteristic of a centrifugal pump operating at a given impeller speed since
it produced the best efficiency point at 0.19m3/s with the efficiency of 28.5% by centrifugal
pump speed of N= 1439 rpm
25
MEM554 – Thermalfluids Lab Centrifugal Pump
Muhammad Afiq Bin Kamil2013463544
As the conclusion, the objective of “Fluid Machinery-Centrifugal Pump” experiment
which to investigate performance characteristics for the centrifugal pump by the 3 different
speeds was achieved. At the end of the experiment, we can find the best operating range of
the pump by observing the interception of the graph. The BHP of the pump for the all
impeller speeds should be decrease as the flow rate increase. The trend of efficiency curve is
influence by the friction loss by the pipe. It is important to choose the pump with higher
efficiency in order to operate the pump with the best condition. Thus, the performance curve
is important to the engineer to choose the pump with best efficiency. The pump with highest
efficiency will use less energy to operate the pump for a specific performance point. There
are several ways to overcome the errors of the experiment. Firstly, the position of the eyes
must be perpendicular to scale in order to avoid parallax error. Secondly, make sure that the
equipment used is well operated.
26
MEM554 – Thermalfluids Lab Centrifugal Pump
Mohamad Faiz Bin Mhd Noor2013413702
As a conclusion, we can say that the objective of this experiment which to obtain
performance characteristics for a centrifugal pump of variable speed operating at 3 different
impeller speeds based on the pump characteristics included pressure (head) jump, power
requirement, flow rate influence and pump fluid influence had achieved. We also study that
all these characteristics will affect its efficiency. However, it is to be noted that, some of the
value of readings obtained may be inaccurate due to certain errors that occurred during the
experiment as the parallax error and equipment problem. The highest efficiency of the pump
is the best condition for the pump to operate.
This centrifugal pump will operate at its best performance is at speed N=1439 rpm. At
this speed it produced the best efficiency which is 28.5% at point 0.19 m3/s. While, when the
pump operate at other two different speed , it does not produce best efficiency point.
27
MEM554 – Thermalfluids Lab Centrifugal Pump
11.0 APPENDIX
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MEM554 – Thermalfluids Lab Centrifugal Pump
12.0 REFERENCES
1. FLUID MECHANICS Fundamentals and Application, Yunus A. Cengel & John
M.Cimbala, McGraw Hill.
2. INTRODUCTION TO FLUID MECHANICS, Robert W. Fox, Alan McDonald, Second
Edition, John Wiley & Sons.
3. “Working of Centrifugal Pump”. http://www.learnengineering.org/2014/01/centrifugal-
hydraulic-pumps.html. (Retrieved on 23 October 2015)
4. “Centrifugal Pump Principles”. http://www.thomasnet.com/articles/pumps-valves-
accessories/centrifugal-principles. (Retrieved on 23 October 2015)
5. “Understanding pump performance curve”. http://www.progressivedairy.com/index.php?
option=com_content&id=10280:understanding-pump-performance-
curves&Itemid=121. (Retrieved on 23 October 2015)
6. ” System Curve and Pump Performance Curve”.
http://www.engineeringtoolbox.com/pump-system-curves-d_635.html. (Retrieved on 24
October 2015)
7. “System curve and pump performance curve”.
http://www.engineeringtoolbox.com/pump-system-curves-d_635.html. (retrieved on 24
October 2015)
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