numerical and experimental analysis of ......three radial discharge mono block centrifugal pumps...
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International Journal of Advanced Research in Engineering and Technology (IJARET) Volume 11, Issue 2, February 2020, pp. 186-199, Article ID: IJARET_11_02_018
Available online at http://www.iaeme.com/IJARET/issues.asp?JType=IJARET&VType=11&IType=2
ISSN Print: 0976-6480 and ISSN Online: 0976-6499
© IAEME Publication Scopus Indexed
NUMERICAL AND EXPERIMENTAL ANALYSIS
OF CENTRIFUGAL PUMP IN REVERSE MODE
OPERATION
Ajit Singh Aidhen
Research Scholar, Mechanical Engineering Department, Raffles University,
Neemrana, India
Sandeep Malik
Assistant Professor, Computer Science and Engineering Department, Raffles University
Neemrana, India
Chavan Dattatraya Kishanrao
Principal, Siddhant College of Engineering, Sudumbare, Pune, India
ABSTRACT
Hydropower has been the cheapest renewable energy source for years. Large
hydropower plants however require huge initial capital, relocation of population and
also cause changes to the aquatic habitat. High terrain remote villages where grid
supply is not economically feasible can be provided electric supply by installation of
standalone power generation plants. Pico hydro power generation is economical as it
does not require construction of large dams. Custom designed hydro turbines for a
particular site are definitely efficient but are expensive. In the past few decades
researchers have explored possibility of using a centrifugal pump in reverse mode as
hydro turbine. The challenge lies in correct selection of a pump to be used as hydro
turbine for a particular site. Characteristic curves for pumps to be operated in pump
mode are provided by manufacturers but the same are not provided by the
manufacturers for turbine mode operation of pumps. Researchers have proposed
performance prediction methods and correlations for predicting turbine mode
performance of the pumps but review of literature suggests scope of further research
for more accurate results. This paper presents numerical and experimental analysis of
radial discharge centrifugal pump operated in turbine mode. New correction factors
are proposed for performance prediction of pump as turbine.
Key words: Pump as Turbine (PAT), Pico hydro, Renewable energy
Ajit Singh Aidhen, Sandeep Malik and Chavan Dattatraya Kishanrao
http://www.iaeme.com/IJARET/index.asp 187 [email protected]
Cite this Article: Ajit Singh Aidhen, Sandeep Malik and Chavan Dattatraya
Kishanrao, Numerical and Experimental Analysis of Centrifugal Pump in Reverse
Mode Operation, International Journal of Advanced Research in Engineering and
Technology (IJARET), 11 (2), 2020, pp 186-199.
http://www.iaeme.com/IJARET/issues.asp?JType=IJARET&VType=11&IType=2
1. INTRODUCTION
Electricity availability plays an important role in upgrading life standards for any community.
There are yet many rural communities which do not have access to electricity. The gird
supply of electricity to high terrain rural villages is not economically feasible. Compared with
other renewable energy sources such as wind, solar, energy from waste the cheapest and
simple technology is small scale run off river type hydro power generation. [1].There are
many benefits of electricity for rural communities some of which are presented in Table 1.1.
Table 1.1: Benefits of electricity for rural communities
(Source: https://www.ruralelec.org/benefits-clean-rural-electrification)
Energy utility Benefits
Lighting
Recharging and power for
communication devices Radio
repeaters
Receivers
Remote weather measuring
Transmission systems
Refrigeration
Water Pumps
Grinding, milling, husking
Increased education possibilities
Clinics and hospitals
Improved health conditions
Increased comfort
Improved connectivity and communication
Possibility of distance learning
Better social connectivity
Mobile banking possible
Better disaster management
Updates for agriculture and geological possible
Food storage possible with refrigerated units
Clean drinking water, minimizing risk of diseases
Produce refined oil from seeds
Create value-added product from raw agricultural
commodity
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The hydro power plants are classified as presented in Figure 1.1. As compared to large
scale hydro power projects in MHPs (Micro hydro power) the cost of electro mechanical
machinery may vary from 35% to 70%. [2]. The cost of electro mechanical machinery can be
reduced by using a centrifugal pump as turbine. [3–6].The present study involves
investigation of pump as turbine performance through numerical and experimental analysis.
Three radial discharge mono block centrifugal pumps with specific speed 35.89, 21.66, 19.26
(m, m3/s) were analyzed.
Figure 1.1. Classification of hydro power plants [7]
Many researchers in past two decades have proposed methods and correlations to predict
the turbine mode performance of the pumps based on pump mode B.E.P (Best efficiency
point) and pump specific speed. Table 1.2 and Table 1.3 summarize the proposed methods by
various researchers. It is however highlighted by researchers that better performance
prediction methods are required to improve the accuracy of prediction and to increase their
generality, the proposed existing relations produce results with an error range . [8]
Researchers as Stepanoff , Childs, Sharma , Hancock, Schmiedl, Alatorre-Frenk proposed
PAT performance prediction based on pump best efficiency point (BEP) whereas
Gopalakrishnan, Hergt , Diederich , and Grover [9-14] suggested relations based on pump
specific speed. However prediction through these theoretical methods has not been very
reliable and the results are seen with large deviation when compared to experimental results.
PATs (Pump as turbine) are advantageous over custom designed turbines as they are mass
produced, lower in cost, readily available, less complicated and involve low maintenance. [3-
6, 15-18].However the peak efficiency of PAT is reported to be less than a customized hydro
turbine. Also the part load performance of PAT is reported by other researchers to be poor.
PAT based Pico hydro standalone power generation still proves to be economical and
practical as it can harness energy which otherwise would go wasted. Correct selection of
pump-turbine, based on available flow and head at the site of installation is utmost important
to achieve best performance.
Table 1.2 Head and discharge correction factors based on specific speed [19]
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Table 1.3 Head and discharge correction factors based on pump mode B.E.P [19]
Two main concerns with PAT technology as highlighted by most of the researchers are
selecting correct pump for a particular site and poor part load efficiency. The turbine mode
performance curves of the pumps are not provided by the pump manufacturers [20]. Many
researchers have attempted performance prediction of pump in turbine mode through
numerical and experimental analysis. The world of centrifugal pump being large, it is not
possible to either simulate or carry out experimental analysis of every pump. It necessitates
the development of performance prediction methods which are accurate and have generalized
application across various ranges of centrifugal pumps. The present study adds to the
available literature and presents prediction correction factors the results of which are better
than earlier prediction correction factors. Numerical analysis was carried out with STAR
CCM+ CFD software. The experiments were performed on a test rig as shown later in this
paper. The results of CFD and experimentation were compared and analyzed to derive at new
proposed correction factors. Table 1.4 provides information of the tested pumps.
Table 1.4 Information of the pumps analyzed
Parameter Pump – A Pump – B Pump – C
Rated Head 13 m 22 m 30 m
Discharge 7.7 lps 6 lps 7.4 lps
Rated Power 1.5/2 (kW/HP) 2.2/3 (kW/HP) 3.7/5 (kW/HP)
Speed 2840 rpm 2840 rpm 2870 rpm
BEP 64(%) 63(%) 60.37(%)
Specific speed 35.89 (m, m3/s) 21.66 (m, m
3/s) 19.26 (m, m
3/s)
2. NUMERICAL ANALYSIS OF PUMP AS TURBINE.
CFD has proved to be a great tool in understanding the complex three dimensional flow in a
turbo machinery. There are many commercially available CFD software today in market.
Large number of pumps all cannot be experimentally investigated and hence software’s as
CFD not only help in performance prediction but also reduce design time and cost. In this
study CFD modeling and simulations were performed by STAR CCM+ and the turbulence
model adopted was K-ℇ. Grid independence study was carried out to optimize the mesh.
Figure 1.2 shows grid independence with four different meshes. The simulations were first
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performed for pump mode operation at rated R.P.M and the results were compared with
manufacturer provided data and experimentally determined results. The results of pump mode
CFD simulations were in good agreement with manufacturer provided data and experimental
results.
Figure 1.2 Grid independence with four meshes
The details of the pumps simulated are provided in Table 1.4. The simulations in turbine
mode were performed for four speeds. (Rated R.P.M, Rated R.P.M plus100, Rated R.P.M
minus 200, Rated R.P. minus 400). The boundary conditions for pump and turbine mode are
shown in the Figure 2.1.
Figure 2.1 Boundary conditions for (a) Pump mode (b) Turbine mode
The results of CFD simulations are not directly comparable to the experimental results
and need to be expressed in dimensionless form. The dimensionless parameters used to
represent head; discharge and power are expressed in equations (1-3). In carrying out
numerical analysis for performance prediction of pump in reverse mode it is assumed that the
entire discharge flows through the impeller passages, however the actual discharge due to
leakage loss is lesser and this necessitates that the measured discharge is corrected to the
actual discharge while performance is analyzed through experimentation. Numerical analysis
estimates only hydraulic power and do not include friction losses at shaft seal, bearings etc.,
whereas experimentally measured mechanical shaft power includes friction losses and so the
output measured power should be corrected to the hydraulic output power. Therefore to
compare dimensionless characteristics it requires that experimentation and CFD variables
should have a common basis.
Discharge number
(1)
Ajit Singh Aidhen, Sandeep Malik and Chavan Dattatraya Kishanrao
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Where
N = rotational speed (rps)
D = impeller diameter (m)
Head number
(2)
Where
N: rotational speed (rps)
D: impeller diameter (m)
g: acceleration due to gravity (m/s2)
H: Head (m)
Power number
(3)
Where
Po: output power (watts)
N: rotational speed (rps)
D: impeller diameter (m)
: density (kg/m3)
3. EXPERIMENTAL INVESTIGATION OF PUMP AS TURBINE
The features of experimental set up for pump and turbine mode performance are as seen in
Figure 3.1 and Figure 3.2.The service pump used in the experimental setup has 40% higher
head and 90% higher flow than the B.E.P head and flow of the tested pumps. In case of
further higher flow and head requirement the service pump motor is connected with a VFD
drive which allows for service pump R.P.M change. The details of instrumentation used in the
set up are provided in Table 3.1.
Figure 3.1 Pump mode experimental setup
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Table 3.1 Details of test rig instrumentation
Instrument Type Accuracy
Flow meter EUMAG Electromagnetic flow meter + 0.5% of flow
Digital pressure gauge PG/DPG-20 Accuracy:+ 25% F.S
Rope brake Dynamometer 0-50 kg, digital display +/- 0.5 %
Speed Digital Tachometer Non Contact Photo Electric +/- 0.05%
Variable Frequency Drive Fuji VFD 10HP ±0.01% of max.
frequency
Multi-Function Meter Voltage 50 -500 VAC, Current 5/5A to
6000/5A, 0-9999kW Class 0.5
Figure 3.2 Turbine mode experimental setup
The experimentation was first conducted in pump mode to obtain the head, discharge,
power and efficiency curves. The pump was started after priming the suction side of the pump
to get rid of the air. The discharge side flow control valve initially was kept full open and
readings on pump suction pressure gauge, pump discharge pressure gauge, flow meter, volt
meter and ammeter are noted. The flow control valve was then throttled such that the flow
variation by the step of 1 lps was attained and after achieving steady state all readings were
noted. The procedure was repeated for the full flow range as indicated on the pump tally plate.
The experimental results were then compared with results of CFD to validate CFD model. In
turbine mode experimental investigation, the pump-turbine was started at no load and the flow
rate was adjusted for the desired R.P.M. The load on PAT was then gradually increased in
steps and the flow was increased to maintain the R.PM. Readings on turbine inlet pressure
gauge, turbine outlet pressure gauge, flow meter and brake dynamometer force were noted.
The mechanical power, hydraulic power and efficiency are expressed by equations (4), (5)
and (6) respectively.
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( ) (4)
ω: angular velocity
τ: torque
N: speed in Rev/min.
The pressure difference across the PAT is denoted by H.
( ) (5)
Where
: is water density
g: gravitational acceleration
Q is flow rate and H is the pressure head.
The efficiency of PAT is expressed as:
(
)
(6)
4. RESULTS AND DISCUSSION
Experimental and numerical analysis results for turbine mode operation are compared and are
presented in the form of curves between head number vs discharge number, Power number vs
discharge number and efficiency vs discharge number as presented in Figure 4.1 and Figure
4.2. The curves are also plotted to compare pump and PAT mode performance as shown in
Figure 4.3 and Figure 4.4. The results of all three pumps are analyzed and theoretical
correction factors to predict head, discharge and efficiency were proposed. These correlations
are presented in equations (7), (8), (9).
(7)
Where,
h:Head correction factor
ηp :Pump mode efficiency at B.E.P
(
√ ) (8)
Where,
q:Discharge correction factor
ηp :Pump mode efficiency at B.E.P
(9)
Where,
: Turbine mode efficiency at B.E.P
ηp :Pump mode efficiency at B.E.P
The turbine mode head and flow can then be obtained by using equations (10) and (11)
h ⁄ (10)
q ⁄ (11)
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Figure 4.1 Head number and Efficiency vs Flow number (Turbine mode)
Figure 4.2 Power number and Efficiency vs Flow number (Turbine mode)
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Figure 4.3 Head number and Efficiency vs Flow number (Pump and Turbine mode)
Figure 4.4 Head number and Efficiency vs Flow number (Pump and Turbine mode)
Turbine mode experimentation and CFD results for one of the three tested pumps are seen
in Figure 4.1 and Figure 4.2.It was noted that the numerical analysis results predict higher
values of head, discharge and efficiency as compared to experimental results. Close to B.E.P
it is noted that the predicted CFD values are very close to those obtained through
experimentation, however the error % slightly increases away from B.E.P. In flow range
+0.2QBEP to -0.3QBEP the performance of PAT is noted with very less drop in efficiency
and can be predicted satisfactorily through numerical simulations. The error % is noted to be
more beyond the mentioned flow range. At B.E.P for all three tested PATs and for all four test
speeds the error % in general was noted to be less than 12%.Velocity color plots for one of the
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tested pump in turbine mode are presented in Figure 4.5. It was noted that beyond the rated
head and flow the shock loss increase as evident at the vane tips and also overall friction
losses also increase.
Figure 4.5 Velocity color plot turbine mode
Pump mode and turbine mode performance curve for one out of the three pump analyzed
are presented in Figure 4.3 and Figure 4.4. The efficiency in turbine mode operation is noted
to be lower than the pump mode efficiency. The B.E.P in turbine mode is attained at higher
head and flow as compared to pump mode. Shock losses due to absence of flow control
device results in mismatch of flow direction and vane angle and cause loss of efficiency. If the
turbine is operated at rated flow these losses are minimum, but as flow increases they are
proportional to square of flow rate. Friction losses including disc friction and leakage losses
also account for drop in efficiency in turbine mode operation. However the drop in turbine
mode efficiency in flow range +0.2QBEP to -0.3QBEP is very low. The results of
experimental investigation and numerical analysis were in good agreement.
The correction factors to predict turbine mode head, discharge and efficiency were
developed based on the results obtained and are presented in equations (7), (8) and (9). The
correction factors were tested by applying them to 40 other pumps found in literature and are
compared with correlations provided by other researchers. Table 4.1 shows error percentage
in estimated values obtained through proposed correction factors and experimentally obtained
values. The proposed correction factors predicted head and discharge with errors less than
15% for 36 out of 43 pumps and 37 out of 43 pumps respectively. Sharma’s proposed
correction factors were found to be close however the proposed correction factors in equation
(7), (8) and (9) were found to give better results for most of the pumps considered. Figure 4.6
and Figure 4.7 present the error percentage in head and discharge prediction through
correlations by various researchers.
Table 4.1 Estimated and experimentally determined head and discharge comparison
Estimated
Head (m)
Experimentally
Determined Head
(m)
Estimated
Discharge
(m3/h)
Experimentally
Determined
Discharge (m3/h)
% Error in
estimated
Head value
% Error in
estimated Discharge
value
23.70 26.24 40.46 36.86 -10.71 8.91
40.02 41.76 30.56 26.64 - 4.33 12.83
66.19 69.76 31.15 33.12 -5.39 - 6.33
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23.79 21.40 54.16 46.66 10.04 13.85
Figure 4.6 Error percentage in head predicted through correlations by various authors
Figure 4.7 Error percentage in discharge predicted through correlations by various authors
5. CONCLUSION
This paper presents results of numerical and experimental investigation carried out on three
centrifugal pump with specific speed number 35.89, 21.66, 19.26 (m, m3/s) and rated RPM
2840, 2840 and 2870 respectively. The results of experimental and numerical analysis
revealed that the pump as turbine operation close to rated head and discharge is smooth and
the efficiency attained is slightly lower than the pump mode best efficiency. Hence in Micro
and Pico scale PAT where the pumps used usually do not have flow control devices, the PAT
must be operated at rated head, flow speed and constant load. Correct selection of pump–
turbine for a particular site is very important and requires more accurate methods and
correlations to be developed for PAT performance prediction. The expressions proposed for
head, discharge and efficiency correction factors in this paper were tested by applying them to
40 other pumps found in literature. The results were also compared with results obtained by
applying correction factors proposed by other researchers. Produced results were noted to be
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with less than 15% error for about 83% of the pumps considered. The proposed correction
factors presented in this paper obtained better results for most of the considered pumps. There
is scope for exploring better and more accurate correction factors which have more general
application to the wide range of pumps existing.
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