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S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome
cast iron impeller of slurry disposal pump using response surface methodology
Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116
110
EXPERIMENTAL INVESTIGATION OF EROSIVE
WEAR ON THE HIGH CHROME CAST IRON
IMPELLER OF SLURRY DISPOSAL PUMP USING
RESPONSE SURFACE METHODOLOGY
Sunil Kumar1,*
, Jasbir Singh Ratol2
1
Department of Mechanical Engineering, Chitkara University, Rajpura, District Patiala, Punjab, 140401 India.
2
Department of Mechanical Engineering, Baba Banda Singh Bahadur Engineering College, Fatehgarh Sahib,
Punjab, 140407 India.
*
corresponding author: e-mail: sunil14478@yahoo.co.in
Resume
Erosive wear occurs on the impeller and volute casing of the slurry disposal pump
due to the impact of the ash particles on the impeller with a high velocity. Due to
erosive wear, pump life become very short. The service life of centrifugal pump,
handling slurry can be increased by reducing the erosive wear.
In the present work, the experimental investigation of erosive wear has been
carried out on the high speed slurry erosion tester to understand the effects of the
ash concentration in slurry, rotational speed of the pump impeller and ash particle
size on erosive wear. The erosive wear behaviour of high chrome cast iron was
investigated by Response surface methodology (RSM). Analysis of variance
(ANOVA) was used for statistical analysis and the modeled values for the response
were obtained with the help of modeled equation. The result shows that the ash
concentration in slurry and kinetic energy of the moving particles highly
contributes to erosive wear of pump impeller as compared to the ash particle size.
Available online: http://fstroj.uniza.sk/journal-mi/PDF/2012/16-2012.pdf
Article info
Article history:
Received 1 May 2012
Accepted 15 June 2012
Online 7 July 2012
Keywords:
Slurry;
Erosive Wear;
Ash Concentration;
Response surface
Methodology
ISSN 1335-0803 (print version)
ISSN 1338-6174 (online version)
1. Introduction
Centrifugal pumps are used for the
transportation of coal ash slurry (coal ash + clean
water) from the thermal power plant to the ash
pond which is located at a distance of about
3000 meters to 8000 meters from the power
plant. These pumps are arranged in series
(usually 2 to 4) to obtain a large pressure head.
Erosive wear is a function of particle velocity
and is more significant on impeller and volute
casing in slurry pumps. The material of impeller
and casing is usually high chromium cast iron
due to its wear resistance property. The factors
responsible for erosive wear are the rotational
speed of the pump impeller, hardness of the target
material, ash concentration in slurry, ash
particle size and angle of impingement.
Erosive wear is recognized as serious
problem in coal based power generation plants
in India. The coal used in Indian power stations
has large amounts of ash (about 50 %) which
contain abrasive mineral species such as hard
quartz (up to 15 %) which increase the erosive
wear propensity of coal. An understanding
of these problems and thus to develop suitable
protective system is essential for maximizing
the utilization of such components [1]. A variety
of methods were adopted to protect materials
from damage due to wear, by the use of efficient
materials [2], processing techniques [3], surface
treatment [4] of the exposed components and
use of engineering skills leading to less impact
of wear on the material, such as appropriate
impingement angle of erodent and velocity
of slurry. Investigations provide information
about the mechanisms of material removal
during the erosive wear [5]. There are a number
of methods to test the erosive wear of materials
using equipment, such as small feed rate erosion
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/ or send a letter to Creative
Commons, 444 Castro Street, Suite 900, Mountain View, California, 94041, USA.
Thiscopyofthearticlewasdownloadedfromhttp://www.mateng.sk,onlineversionofMaterialsEngineering-Materiálovéinžinierstvo(MEMI)
journal,ISSN1335-0803(printversion),ISSN1338-6174(onlineversion).Onlineversionofthejournalissupportedbywww.websupport.sk.
S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome
cast iron impeller of slurry disposal pump using response surface methodology
Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116
111
test rig [6], particle jet erosion test rig [7],
coriolis erosion tester [8] and slinger erosion test
rig [9]. Study has been carried out for various
slurries and found that none of the correlation is
universally applicable for modeling slurries for
well graded particle size distribution [10].
Mechanical ash handling system and vacuum
ash handling system are used to handle dry ash
whereas hydraulic ash handling system is used
to handle wet ash in thermal power plants.
In hydraulic ash handling system, ash is carried
with flow of water with high velocity through
a pipeline and finally dumped in the sump.
It can discharge large amount of ash at large
distance from the power plant, therefore is
suitable for large thermal power plants.
2. Experimental investigation-slurry erosion
testing
2.1. High speed slurry erosion tester
Experimentation was performed on the
High Speed Erosion Tester (DUCOM Bangalore
Make, TR-401). In slurry erosion tester,
a specimen, fixed to the specimen holder,
is rotated in a circular container (slurry pot)
filled with the slurry which is made homogeneous.
In slurry erosion test, the amount of material
removed from the specimen is determined by
the weight loss. The samples are weighed before
and after the tests.
Fig. 1. Set-up of high speed slurry erosion tester
Slurry pot tester is simple in design and
easy to operate. In a slurry pot tester, generally
two specimens have been rotated in solid-liquid
mixture. The rotational movement of specimens
keeps the ash particles suspended in the water.
The rotating test specimens move at a velocity
relative to the solid-liquid suspension. The set-
up of high speed slurry erosion tester during
experimentation is shown in Fig. 1 and the test
specimens are shown in Fig. 2.
Fig. 2. Test specimens of pump material
2.2. Procedure
The fly ash collected from thermal power
station was used as the erodent. Sizing
of the ash particles was done by sieve analysis
and the average particle size was 75 μm.
The test specimens of impeller material (High
Chromium Cast Iron) were prepared and cut into
pieces of OD 12 mm × ID 6 mm × Length 10 mm
and polished using emery paper (200 μm grit
size). The hardness of the specimen was
measured to be 500 BHN. The rotation per
minute maintained as 1200, 1400 and 1600.
Specimens were ultrasonically cleaned with
acetone and weighed before and after the
experimentation. The weight of the specimen
material is reduced due to erosion. The chemical
composition of the material used was checked
with the help of spectrometer. The detail is
given in Table 1.
S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome
cast iron impeller of slurry disposal pump using response surface methodology
Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116
112
Table 1
Chemical composition of test specimens
Material C Mn Si S P Cr Ni
High chrome
cast iron
3.01 1.12 0.39 0.006 0.02 14.64 0.42
Rotations of specimen, ash concentration
in slurry and particle size were considered as
prominent factors. Three levels were taken for
each factor as shown in Table 2. Two test
specimens were tightened opposite to each other
with the help of the screws. There was a drum
of water carrying capacity of 30 liters was
properly cleaned and slurry was prepared and
drawn into the drum. The specimens were
rotated in the slurry for 30 minutes. The slurry
was made homogeneous in the drum by rotating
it continuously during experimentation.
The total numbers of runs were 17 for
the given values which were determined with
the help of Box-Behnken design for Response
Surface Methodology (Table 3). Table 4 shows
the analysis of variance (ANOVA) for response
surface linear model.
Table 2
Factors affecting Erosive Wear with levels
Sr.
No.
Factors Level 1 Level 2 Level 3
1
Rotation of
specimen
(rpm)
1200 1400 1600
2
Ash
concentration
(ppm)
100x103
200 x103
300 x103
3
Particle size
(μm)
50 75 90
2.3. Observations and calculations
ANOVA (Analysis of variance) for response
surface linear model
The Model F-value of 17.10 implies the
model is significant. There is only a 0.01 %
chance that a "Model F-Value" this large could
occur due to noise. Values of "Prob > F" less
than 0.0500 indicate model terms are significant
at the confidence level of 95 %. In this case A,
B are significant model terms. The Lack of Fit
is consisting of the sum of squares for the
interactions that were dropped from the model.
The "Lack of Fit F-value" of 2.12 implies the
Lack of Fit is not significant relative to the pure
error. Non significant lack of fit is good. Pure
error is arising from the replications. There are
05 replicates having 04 degree of freedom (df).
The value of pure error is very small as one
should expect. Regresion Analysis for Response
Surface Linear Model is shown in Table 5.
Table 3
Box-Behnken design matrix in terms of actual values
Run
Rotational
speed
(rpm)
Ash
concenteration
(ppm)
Particle
size
(microns)
1 1400 200000 75
2 1200 300000 75
3 1600 200000 90
4 1400 100000 50
5 1400 200000 75
6 1200 100000 75
7 1200 200000 90
8 1600 200000 50
9 1400 200000 75
10 1600 300000 75
11 1400 100000 90
12 1200 200000 50
13 1400 200000 75
14 1400 300000 50
15 1600 100000 75
16 1400 200000 75
17 1400 300000 90
S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome
cast iron impeller of slurry disposal pump using response surface methodology
Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116
113
Table 5
Regresion analysis for response surface linear model
Std. Dev. 0.040 R-Squared 0.7979
Mean 0.28 Adj R-Squared 0.7512
C.V. % 14.47 Pred R-Squared 0.6293
PRESS 0.038 Adeq Precision 14.656
PRESS stands for "prediction error sum
of squares" and it is a measure of how well
the model for the experiment is likely to predict
the response in a new experiment. Small value
of PRESS is desirable. C.V. is the coefficient of
variation which measures the residual variability
in the data. The "Pred R-Squared" of 0.6293 is
in reasonable agreement with the "Adj R-Squared"
of 0.7512. A difference less than 0.20 between
the "Pred R-Squared" and "Adj R-Squared"
indicates that there is no problem with model
and/or data. "Adeq Precision" measures the signal
to noise ratio. A ratio greater than 4 is desirable.
The ratio of 14.656 indicates an adequate signal.
This model can be used to navigate the design
space. The modeled values for the response are
calculated and tabulated in Table 6 along with
the experimental values.
Table 6
Experimental and Modeled values of the response
Run
Rota-
tion
(rpm)
Ash-
conc.
(ppm)
Particle
size
(microns)
Experi.
Values
(gms.)
Modeled
Values
(gms.)
1 1600 300000 75 0.497 0.421
2 1400 200000 75 0.281 0.279
3 1200 200000 90 0.248 0.217
4 1400 200000 75 0.282 0.279
5 1600 200000 90 0.365 0.359
6 1200 100000 75 0.175 0.136
7 1200 200000 50 0.186 0.193
8 1200 300000 75 0.288 0.280
9 1400 200000 75 0.208 0.279
10 1600 200000 50 0.308 0.334
11 1400 100000 50 0.239 0.192
12 1400 100000 90 0.163 0.216
13 1600 100000 75 0.294 0.278
14 1400 300000 90 0.353 0.360
15 1400 200000 75 0.262 0.279
16 1400 200000 75 0.258 0.279
17 1400 300000 50 0.307 0.335
Regresion equation to calculate the modeled values:
WL = (-0.40687) + (3.54375 x 10-4
) x RS + (7.17500x10-7
) x AC + (6.13078 x 10-4
) x PS (1)
where: WL is Weight Loss, RS is Rotation Speed, AC is Ash Concentration, PS is Paricle Size
Table 4
Analysis of variance (ANOVA)
Source
Sum of
Squares
df
Mean
Square
F
Value
p-value
Prob > F
Model 0.083 3 0.028 17.10 < 0.0001 significant
A-rotation 0.040 1 0.040 24.96 0.0002
B-ash concen. 0.041 1 0.041 25.58 0.0002
C-particle size 1.243x10-3
1 1.243x10-3
0.77 0.3956
Residual 0.021 13 1.610x10-3
Lack of Fit 0.017 9 1.923x10-3
2.12 0.2434 Non-significant
Pure Error 3.621x10-3
4 9.052x10-4
Cor Total 0.10 16
S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome
cast iron impeller of slurry disposal pump using response surface methodology
Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116
114
3. Results
Graphs were plotted between the factors
affecting erosive wear and the weight reduction
of specimen. It has been found form these
graphs that all the three factors behave linearly
with the weight loss.
As the rotational speed of the impeller
increases, the force with which slurry strikes
the impeller increases which in turn increases
the erosion rate (Fig. 3). It shows that at 1200
rpm rotational speed, 100000 ppm ash
concentration and 50 μm particle size, the
weight loss of the material due to erosive
wear is very less.
The weight loss of the material
increases linearly with the increase of ash
concentration as shown in Fig. 4. It shows
that at 100000 ppm ash concentration, 1200
rpm rotational speed and 50 μm particle size,
the weight loss of the material due to erosive
wear is very less.
The effect of particle size on the weight
loss due to erosion is shown in Fig. 5.
The behavior of particle size with erosive
wear is linear. The particle size has low effect
on erosive wear when other values are taken
at lower level, but increase in wear is more
by taking other parameter level at middle and
higher. The particle size has very low effect
on the metal removal rate for the value less
than 100 µm as compared to other parameters
[11].
Fig. 3 Weight loss vs. rotational speed
S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome
cast iron impeller of slurry disposal pump using response surface methodology
Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116
115
Fig. 4. Weight loss vs. ash concentration
Fig. 5. Weight loss vs. ash particle size
S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome
cast iron impeller of slurry disposal pump using response surface methodology
Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116
116
4. Conclusions
Reduction in weight is primarily depends
upon the ash concentration in the slurry followed
by the rotational speed of the pump impeller and
ash particle size as shown in Fig. 6. The
conclusion is this that if the slurry pumps has to
work the range where the erosive wear is less; the
performance of the slurry disposal pump may be
improved. Erosive wear of the pump impeller
would decreases with decreasing ash
concentration, rotation speed and particle size.
Rotational
Speed
40%
Ash
Concent.
41%
Particle Size
2%
Error
3%
Lack of Fit
14%
Fig. 6. Contributions of parameters for erosive wear
References
[1] V. Chawla, A. Chawla, D. Puri, S. Prakash, P.
G. Gurbuxani, B. S. Sidhu: J. Minerals &
Mater. Char. & Eng. 10(4) (2011) 367-385.
[2] T. Savaskan, S. Murphy: Wear 116 (1987)
211-224.
[3] B. K. Prasad, S. Das, A. K. Jha, O. P. Modi, R.
Dasgupta, A. H. Yegneswaran: Composites
A28 (1997) 301-308.
[4] A. K. Jha, A. Gachake, B. K. Prasad, R.
Dasgupata, M. Singh, A. H. Yegneswaran: J.
Mater. Eng. and Perform. 11(1) (2002) 37-45.
[5] I. Finnie, K. Natesan: TMS-AIME (1980) 118-
126.
[6] W. Zhu, Z. Y. Mao: In.: Proc. of Conf. Wear of
Material, Ed.: K. C. Ludema, ASME, 1987, pp.
787-796.
[7] R. G. Desale, K. Bhupendra, S. C. Gandhi: Wear
259 (2005) 96-202.
[8] H. M. H. Throhe, Y. Xie, S. K. Yick: Wear
255 (2003) 170-180.
[9] T. H. Kosel, R. O. Scattergood, A. P. L. Turner:
In: Proc. of Conf. Wear of Material, Ed.: K. C.
Ludema, ASME, 1979, pp. 192-204.
[10]A. W. Sive, J. H. Lazarus: Proc. Hydrotransport
10, Ed.: A. P. Burns, BHRA Fluid Engineering
Cranfield 1986, pp. 149-175.
[11]R. S. Lynn, K. K. Wong, H. M. Clark: Wear
149(1-2) (1991) 51-71.

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Experimental Investigation of Erosive Wear on the High Chrome Cast Iron Impeller of Slurry Disposal Pump Using Response Surface Methodology

  • 1. S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome cast iron impeller of slurry disposal pump using response surface methodology Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116 110 EXPERIMENTAL INVESTIGATION OF EROSIVE WEAR ON THE HIGH CHROME CAST IRON IMPELLER OF SLURRY DISPOSAL PUMP USING RESPONSE SURFACE METHODOLOGY Sunil Kumar1,* , Jasbir Singh Ratol2 1 Department of Mechanical Engineering, Chitkara University, Rajpura, District Patiala, Punjab, 140401 India. 2 Department of Mechanical Engineering, Baba Banda Singh Bahadur Engineering College, Fatehgarh Sahib, Punjab, 140407 India. * corresponding author: e-mail: sunil14478@yahoo.co.in Resume Erosive wear occurs on the impeller and volute casing of the slurry disposal pump due to the impact of the ash particles on the impeller with a high velocity. Due to erosive wear, pump life become very short. The service life of centrifugal pump, handling slurry can be increased by reducing the erosive wear. In the present work, the experimental investigation of erosive wear has been carried out on the high speed slurry erosion tester to understand the effects of the ash concentration in slurry, rotational speed of the pump impeller and ash particle size on erosive wear. The erosive wear behaviour of high chrome cast iron was investigated by Response surface methodology (RSM). Analysis of variance (ANOVA) was used for statistical analysis and the modeled values for the response were obtained with the help of modeled equation. The result shows that the ash concentration in slurry and kinetic energy of the moving particles highly contributes to erosive wear of pump impeller as compared to the ash particle size. Available online: http://fstroj.uniza.sk/journal-mi/PDF/2012/16-2012.pdf Article info Article history: Received 1 May 2012 Accepted 15 June 2012 Online 7 July 2012 Keywords: Slurry; Erosive Wear; Ash Concentration; Response surface Methodology ISSN 1335-0803 (print version) ISSN 1338-6174 (online version) 1. Introduction Centrifugal pumps are used for the transportation of coal ash slurry (coal ash + clean water) from the thermal power plant to the ash pond which is located at a distance of about 3000 meters to 8000 meters from the power plant. These pumps are arranged in series (usually 2 to 4) to obtain a large pressure head. Erosive wear is a function of particle velocity and is more significant on impeller and volute casing in slurry pumps. The material of impeller and casing is usually high chromium cast iron due to its wear resistance property. The factors responsible for erosive wear are the rotational speed of the pump impeller, hardness of the target material, ash concentration in slurry, ash particle size and angle of impingement. Erosive wear is recognized as serious problem in coal based power generation plants in India. The coal used in Indian power stations has large amounts of ash (about 50 %) which contain abrasive mineral species such as hard quartz (up to 15 %) which increase the erosive wear propensity of coal. An understanding of these problems and thus to develop suitable protective system is essential for maximizing the utilization of such components [1]. A variety of methods were adopted to protect materials from damage due to wear, by the use of efficient materials [2], processing techniques [3], surface treatment [4] of the exposed components and use of engineering skills leading to less impact of wear on the material, such as appropriate impingement angle of erodent and velocity of slurry. Investigations provide information about the mechanisms of material removal during the erosive wear [5]. There are a number of methods to test the erosive wear of materials using equipment, such as small feed rate erosion This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/ or send a letter to Creative Commons, 444 Castro Street, Suite 900, Mountain View, California, 94041, USA. Thiscopyofthearticlewasdownloadedfromhttp://www.mateng.sk,onlineversionofMaterialsEngineering-Materiálovéinžinierstvo(MEMI) journal,ISSN1335-0803(printversion),ISSN1338-6174(onlineversion).Onlineversionofthejournalissupportedbywww.websupport.sk.
  • 2. S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome cast iron impeller of slurry disposal pump using response surface methodology Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116 111 test rig [6], particle jet erosion test rig [7], coriolis erosion tester [8] and slinger erosion test rig [9]. Study has been carried out for various slurries and found that none of the correlation is universally applicable for modeling slurries for well graded particle size distribution [10]. Mechanical ash handling system and vacuum ash handling system are used to handle dry ash whereas hydraulic ash handling system is used to handle wet ash in thermal power plants. In hydraulic ash handling system, ash is carried with flow of water with high velocity through a pipeline and finally dumped in the sump. It can discharge large amount of ash at large distance from the power plant, therefore is suitable for large thermal power plants. 2. Experimental investigation-slurry erosion testing 2.1. High speed slurry erosion tester Experimentation was performed on the High Speed Erosion Tester (DUCOM Bangalore Make, TR-401). In slurry erosion tester, a specimen, fixed to the specimen holder, is rotated in a circular container (slurry pot) filled with the slurry which is made homogeneous. In slurry erosion test, the amount of material removed from the specimen is determined by the weight loss. The samples are weighed before and after the tests. Fig. 1. Set-up of high speed slurry erosion tester Slurry pot tester is simple in design and easy to operate. In a slurry pot tester, generally two specimens have been rotated in solid-liquid mixture. The rotational movement of specimens keeps the ash particles suspended in the water. The rotating test specimens move at a velocity relative to the solid-liquid suspension. The set- up of high speed slurry erosion tester during experimentation is shown in Fig. 1 and the test specimens are shown in Fig. 2. Fig. 2. Test specimens of pump material 2.2. Procedure The fly ash collected from thermal power station was used as the erodent. Sizing of the ash particles was done by sieve analysis and the average particle size was 75 μm. The test specimens of impeller material (High Chromium Cast Iron) were prepared and cut into pieces of OD 12 mm × ID 6 mm × Length 10 mm and polished using emery paper (200 μm grit size). The hardness of the specimen was measured to be 500 BHN. The rotation per minute maintained as 1200, 1400 and 1600. Specimens were ultrasonically cleaned with acetone and weighed before and after the experimentation. The weight of the specimen material is reduced due to erosion. The chemical composition of the material used was checked with the help of spectrometer. The detail is given in Table 1.
  • 3. S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome cast iron impeller of slurry disposal pump using response surface methodology Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116 112 Table 1 Chemical composition of test specimens Material C Mn Si S P Cr Ni High chrome cast iron 3.01 1.12 0.39 0.006 0.02 14.64 0.42 Rotations of specimen, ash concentration in slurry and particle size were considered as prominent factors. Three levels were taken for each factor as shown in Table 2. Two test specimens were tightened opposite to each other with the help of the screws. There was a drum of water carrying capacity of 30 liters was properly cleaned and slurry was prepared and drawn into the drum. The specimens were rotated in the slurry for 30 minutes. The slurry was made homogeneous in the drum by rotating it continuously during experimentation. The total numbers of runs were 17 for the given values which were determined with the help of Box-Behnken design for Response Surface Methodology (Table 3). Table 4 shows the analysis of variance (ANOVA) for response surface linear model. Table 2 Factors affecting Erosive Wear with levels Sr. No. Factors Level 1 Level 2 Level 3 1 Rotation of specimen (rpm) 1200 1400 1600 2 Ash concentration (ppm) 100x103 200 x103 300 x103 3 Particle size (μm) 50 75 90 2.3. Observations and calculations ANOVA (Analysis of variance) for response surface linear model The Model F-value of 17.10 implies the model is significant. There is only a 0.01 % chance that a "Model F-Value" this large could occur due to noise. Values of "Prob > F" less than 0.0500 indicate model terms are significant at the confidence level of 95 %. In this case A, B are significant model terms. The Lack of Fit is consisting of the sum of squares for the interactions that were dropped from the model. The "Lack of Fit F-value" of 2.12 implies the Lack of Fit is not significant relative to the pure error. Non significant lack of fit is good. Pure error is arising from the replications. There are 05 replicates having 04 degree of freedom (df). The value of pure error is very small as one should expect. Regresion Analysis for Response Surface Linear Model is shown in Table 5. Table 3 Box-Behnken design matrix in terms of actual values Run Rotational speed (rpm) Ash concenteration (ppm) Particle size (microns) 1 1400 200000 75 2 1200 300000 75 3 1600 200000 90 4 1400 100000 50 5 1400 200000 75 6 1200 100000 75 7 1200 200000 90 8 1600 200000 50 9 1400 200000 75 10 1600 300000 75 11 1400 100000 90 12 1200 200000 50 13 1400 200000 75 14 1400 300000 50 15 1600 100000 75 16 1400 200000 75 17 1400 300000 90
  • 4. S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome cast iron impeller of slurry disposal pump using response surface methodology Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116 113 Table 5 Regresion analysis for response surface linear model Std. Dev. 0.040 R-Squared 0.7979 Mean 0.28 Adj R-Squared 0.7512 C.V. % 14.47 Pred R-Squared 0.6293 PRESS 0.038 Adeq Precision 14.656 PRESS stands for "prediction error sum of squares" and it is a measure of how well the model for the experiment is likely to predict the response in a new experiment. Small value of PRESS is desirable. C.V. is the coefficient of variation which measures the residual variability in the data. The "Pred R-Squared" of 0.6293 is in reasonable agreement with the "Adj R-Squared" of 0.7512. A difference less than 0.20 between the "Pred R-Squared" and "Adj R-Squared" indicates that there is no problem with model and/or data. "Adeq Precision" measures the signal to noise ratio. A ratio greater than 4 is desirable. The ratio of 14.656 indicates an adequate signal. This model can be used to navigate the design space. The modeled values for the response are calculated and tabulated in Table 6 along with the experimental values. Table 6 Experimental and Modeled values of the response Run Rota- tion (rpm) Ash- conc. (ppm) Particle size (microns) Experi. Values (gms.) Modeled Values (gms.) 1 1600 300000 75 0.497 0.421 2 1400 200000 75 0.281 0.279 3 1200 200000 90 0.248 0.217 4 1400 200000 75 0.282 0.279 5 1600 200000 90 0.365 0.359 6 1200 100000 75 0.175 0.136 7 1200 200000 50 0.186 0.193 8 1200 300000 75 0.288 0.280 9 1400 200000 75 0.208 0.279 10 1600 200000 50 0.308 0.334 11 1400 100000 50 0.239 0.192 12 1400 100000 90 0.163 0.216 13 1600 100000 75 0.294 0.278 14 1400 300000 90 0.353 0.360 15 1400 200000 75 0.262 0.279 16 1400 200000 75 0.258 0.279 17 1400 300000 50 0.307 0.335 Regresion equation to calculate the modeled values: WL = (-0.40687) + (3.54375 x 10-4 ) x RS + (7.17500x10-7 ) x AC + (6.13078 x 10-4 ) x PS (1) where: WL is Weight Loss, RS is Rotation Speed, AC is Ash Concentration, PS is Paricle Size Table 4 Analysis of variance (ANOVA) Source Sum of Squares df Mean Square F Value p-value Prob > F Model 0.083 3 0.028 17.10 < 0.0001 significant A-rotation 0.040 1 0.040 24.96 0.0002 B-ash concen. 0.041 1 0.041 25.58 0.0002 C-particle size 1.243x10-3 1 1.243x10-3 0.77 0.3956 Residual 0.021 13 1.610x10-3 Lack of Fit 0.017 9 1.923x10-3 2.12 0.2434 Non-significant Pure Error 3.621x10-3 4 9.052x10-4 Cor Total 0.10 16
  • 5. S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome cast iron impeller of slurry disposal pump using response surface methodology Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116 114 3. Results Graphs were plotted between the factors affecting erosive wear and the weight reduction of specimen. It has been found form these graphs that all the three factors behave linearly with the weight loss. As the rotational speed of the impeller increases, the force with which slurry strikes the impeller increases which in turn increases the erosion rate (Fig. 3). It shows that at 1200 rpm rotational speed, 100000 ppm ash concentration and 50 μm particle size, the weight loss of the material due to erosive wear is very less. The weight loss of the material increases linearly with the increase of ash concentration as shown in Fig. 4. It shows that at 100000 ppm ash concentration, 1200 rpm rotational speed and 50 μm particle size, the weight loss of the material due to erosive wear is very less. The effect of particle size on the weight loss due to erosion is shown in Fig. 5. The behavior of particle size with erosive wear is linear. The particle size has low effect on erosive wear when other values are taken at lower level, but increase in wear is more by taking other parameter level at middle and higher. The particle size has very low effect on the metal removal rate for the value less than 100 µm as compared to other parameters [11]. Fig. 3 Weight loss vs. rotational speed
  • 6. S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome cast iron impeller of slurry disposal pump using response surface methodology Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116 115 Fig. 4. Weight loss vs. ash concentration Fig. 5. Weight loss vs. ash particle size
  • 7. S. Kumar, J. S. Ratol: Experimental investigation of erosive wear on the high chrome cast iron impeller of slurry disposal pump using response surface methodology Materials Engineering - Materiálové inžinierstvo 19 (2012) 110-116 116 4. Conclusions Reduction in weight is primarily depends upon the ash concentration in the slurry followed by the rotational speed of the pump impeller and ash particle size as shown in Fig. 6. The conclusion is this that if the slurry pumps has to work the range where the erosive wear is less; the performance of the slurry disposal pump may be improved. Erosive wear of the pump impeller would decreases with decreasing ash concentration, rotation speed and particle size. Rotational Speed 40% Ash Concent. 41% Particle Size 2% Error 3% Lack of Fit 14% Fig. 6. Contributions of parameters for erosive wear References [1] V. Chawla, A. Chawla, D. Puri, S. Prakash, P. G. Gurbuxani, B. S. Sidhu: J. Minerals & Mater. Char. & Eng. 10(4) (2011) 367-385. [2] T. Savaskan, S. Murphy: Wear 116 (1987) 211-224. [3] B. K. Prasad, S. Das, A. K. Jha, O. P. Modi, R. Dasgupta, A. H. Yegneswaran: Composites A28 (1997) 301-308. [4] A. K. Jha, A. Gachake, B. K. Prasad, R. Dasgupata, M. Singh, A. H. Yegneswaran: J. Mater. Eng. and Perform. 11(1) (2002) 37-45. [5] I. Finnie, K. Natesan: TMS-AIME (1980) 118- 126. [6] W. Zhu, Z. Y. Mao: In.: Proc. of Conf. Wear of Material, Ed.: K. C. Ludema, ASME, 1987, pp. 787-796. [7] R. G. Desale, K. Bhupendra, S. C. Gandhi: Wear 259 (2005) 96-202. [8] H. M. H. Throhe, Y. Xie, S. K. Yick: Wear 255 (2003) 170-180. [9] T. H. Kosel, R. O. Scattergood, A. P. L. Turner: In: Proc. of Conf. Wear of Material, Ed.: K. C. Ludema, ASME, 1979, pp. 192-204. [10]A. W. Sive, J. H. Lazarus: Proc. Hydrotransport 10, Ed.: A. P. Burns, BHRA Fluid Engineering Cranfield 1986, pp. 149-175. [11]R. S. Lynn, K. K. Wong, H. M. Clark: Wear 149(1-2) (1991) 51-71.