Keywords: centrifugal pumps; CFD; computational fluid dynamics; FLUENT; one way ANOVA; meshing; GAMBIT; head; large eddy simulation; LES; k-epsilon; k-omega; simulation; operations management; slurry pumps; strategic modelling; turbulence models; fluid flow.

1. Operational management of a
centrifugal slurry pump through
strategic CFD modelling
By
Dr. Bikram Jit Singh
Professor
MMDU Mullana

2. Sr.
No
Discharge Q
(lps)
Head (m)
Experimental
Simulation
(k-€)
Simulation
(k-w)
Simulation
(ELS)
1 5.384 3.484436 4.5623 4.7032 4.4563
2 4.742 3.7779761 4.8623 4.96235 4.7632
3 3.995 3.9732178 5.02645 5.1836 4.9285
4 3.785 4.0389916 5.13256 5.2436 4.966
5 2.724 4.3392764 5.4023 5.50632 5.2536
6 2.261 4.5022703 5.60345 5.7236 5.4523
7 1.536 4.659495 5.76365 5.869 5.6632
8 0.886 4.7340406 5.8423 5.9236 5.7456
9 0 4.8148242 5.8852 5.99 5.756
Table 5.4 Result of pump performance by experimental and simulation at 800 rpm.

3. 6543210
6543210
6.0
5.5
5.0
4.5
4.0
3.5
6.0
5.5
5.0
4.5
4.0
3.5
Discharge Q (lps)
Y-Data
Head (m) Experimental
Simulation (k-€)
Simulation (k-w)
Simulation
Variable
Scatterplot of Head (m) Exp, Simulation (, ... vs Discharge Q

4. 1.00.50.0-0.5-1.0
99
90
50
10
1
Residual
Percent
5.45.14.84.54.2
0.6
0.3
0.0
-0.3
-0.6
Fitted Value
Residual
0.60.30.0-0.3-0.6
8
6
4
2
0
Residual
Frequency
Normal Probability Plot Versus Fits
Histogram
Residual Plots for Head (m) Experimental, Simulation (k-€), Simulation (k-w), Simulation

5. Welcome to Minitab, press F1 for help.
One-way ANOVA: Head (m) Experim, Simulation (k-€), Simulation (k-w), Simulation
Source DF SS MS F P
Factor 3 8.143 2.714 12.53 0.000
Error 32 6.933 0.217
Total 35 15.076
S = 0.4655 R-Sq = 54.01% R-Sq(adj) = 49.70%
Level N Mean StDev
Head (m) Experimental 9 4.2583 0.4640
Simulation (k-€) 9 5.3423 0.4713
Simulation (k-w) 9 5.4561 0.4580
Simulation 9 5.2205 0.4686
Individual 95% CIs For Mean Based on
Pooled StDev
Level -+---------+---------+---------+--------
Head (m) Experimental (-----*-----)
Simulation (k-€) (-----*-----)
Simulation (k-w) (-----*-----)
Simulation (-----*------)
-+---------+---------+---------+--------
4.00 4.50 5.00 5.50
Pooled StDev = 0.4655

6. SimulationSimulation (k-w)Simulation (k-€)Head (m) Experimental
6.0
5.5
5.0
4.5
4.0
3.5
Data
Boxplot of Head (m) Experimental, Simulation (k-€), Simulation (k-w), Simulation
SimulationSimulation (k-w)Simulation (k-€)Head (m) Experimental
6.0
5.5
5.0
4.5
4.0
3.5
Data
Individual Value Plot of Head (m) Experimental, Simulation (k-€), Simulation (k-w), Simulation

7. Sr.
No
Discharge Q
(lps)
Head (m)
Experimental
Simulation
(k-€)
Simulation
(k-w)
Simulation
(ELS)
1 7.051 5.448843 6.3969 6.5 6.236
2 6.135 5.857321 6.807 6.907 6.72
3 5.552 6.168565 7.1625 7.2633 7.023
4 4.778 6.52157 7.5236 7.6236 7.3596
5 3.573 6.959297 7.936 8.036 7.8236
6 2.664 7.278147 8.2978 8.396 8.02365
7 1.658 7.495039 8.5023 8.6123 8.3256
8 0.95 7.58002 8.56 8.6632 8.4365
9 0 7.661239 8.66 8.76 8.52
Table 5.3 Result of pump performance by experimental and simulation at 1000 rpm.

8. 76543210
76543210
9
8
7
6
5
9
8
7
6
5
Discharge Q (lps)
Y-Data
Head (m) Experimental
Simulation (k-€)
Simulation (k-w)
Simulation
Variable
Scatterplot of Head (m) Exp, Simulation (, ... vs Discharge Q

9. Welcome to Minitab, press F1 for help.
One-way ANOVA: Head (m) Experim, Simulation (k-€), Simulation (k-w), Simulation
Source DF SS MS F P
Factor 3 6.635 2.212 3.28 0.034
Error 32 21.608 0.675
Total 35 28.244
S = 0.8217 R-Sq = 23.49% R-Sq(adj) = 16.32%
Level N Mean StDev
Head (m) Experimental 9 6.7744 0.8118
Simulation (k-€) 9 7.7607 0.8292
Simulation (k-w) 9 7.8624 0.8298
Simulation 9 7.6075 0.8160
Individual 95% CIs For Mean Based on
Pooled StDev
Level ------+---------+---------+---------+---
Head (m) Experimental (--------*--------)
Simulation (k-€) (--------*---------)
Simulation (k-w) (--------*--------)
Simulation (---------*--------)
------+---------+---------+---------+---
6.60 7.20 7.80 8.40
Pooled StDev = 0.8217

10. SimulationSimulation (k-w)Simulation (k-€)Head (m) Experimental
9
8
7
6
5
Data
Boxplot of Head (m) Experimental, Simulation (k-€), Simulation (k-w), Simulation
SimulationSimulation (k-w)Simulation (k-€)Head (m) Experimental
9
8
7
6
5
Data
Individual Value Plot of Head (m) Experimental, Simulation (k-€), Simulation (k-w), Simulation

11. Sr.
No
Discharge Q
(lps)
Head (m)
Experimental
Simulation
(k-€)
Simulation
(k-w)
Simulation
(ELS)
1 8.71 7.93 8.7563 8.8563 8.6523
2 7.57 8.5 9.4568 9.6023 9.3023
3 6.69 9.04 9.9236 10.023 9.8232
4 5.32 9.70 10.5698 10.685 10.4532
5 4.50 10.14 10.9236 11.02 10.82365
6 3.44 10.50 11.3698 11.4632 11.263
7 2.29 10.82 11.8089 11.92 11.7123
8 1.18 11.06 11.8793 11.9765 11.7765
9 0 11.51 12.1652 12.263 12.0236
Table 5.2 Result of pump performance by experimental and simulation at 1200 rpm.

12. 9876543210
9876543210
12
11
10
9
8
12
11
10
9
8
Discharge Q (lps)
Y-Data
Head (m) Experimental
Simulation (k-€)
Simulation (k-w)
Simulation
Variable
Scatterplot of Head (m) Exp, Simulation (, ... vs Discharge Q

13. Welcome to Minitab, press F1 for help.
One-way ANOVA: Head (m) Experim, Simulation (k-€), Simulation (, Simulation
Source DF SS MS F P
Factor 3 5.07 1.69 1.19 0.327
Error 32 45.27 1.41
Total 35 50.34
S = 1.189 R-Sq = 10.07% R-Sq(adj) = 1.64%
Level N Mean StDev
Head (m) Experimental 9 9.911 1.216
Simulation (k-€) 9 10.761 1.182
Simulation (k-w) 9 10.868 1.176
Simulation 9 10.648 1.184
Individual 95% CIs For Mean Based on Pooled StDev
Level +---------+---------+---------+---------
Head (m) Experimental (-----------*----------)
Simulation (k-€) (-----------*----------)
Simulation (k-w) (----------*-----------)
Simulation (----------*-----------)
+---------+---------+---------+---------
9.10 9.80 10.50 11.20
Pooled StDev = 1.189

14. SimulationSimulation (k-w)Simulation (k-€)Head (m) Experimental
12
11
10
9
8
Data
Boxplot of Head (m) Experimental, Simulation (k-€), Simulation (k-w), Simulation
SimulationSimulation (k-w)Simulation (k-€)Head (m) Experimental
12
11
10
9
8
Data
Individual Value Plot of Head (m) Experimental, Simulation (k-€), Simulation (k-w), Simulation

15. Sr.
No
Discharge Q
(lps)
Head (m)
Experimental
Simulation
(k-€)
Simulation
(k-w)
Simulation
(ELS)
1 10.75 11.66 12.5563 12.7 12.4
2 9.591 12.60 13.4623 13.6235 13.3025
3 8.71 13.32 14.5636 14.7256 14.4023
4 7.633 14.21 15.236 15.4 15.1023
5 5.935 15.09 15.9236 16.12 15.8023
6 4.375 15.54 16.3956 16.5236 16.2365
7 2.876 16.01 16.8563 16.95365 16.7123
8 1.204 16.42 17.1986 17.2963 17.07
9 0 16.60 17.3654 17.4823 17.22
Table 5.1 Result of pump performance by experimental and simulation at 1450 rpm.

16. 121086420
121086420
18
17
16
15
14
13
12
11
18
17
16
15
14
13
12
11
Discharge
Y-Data
Head (m) Experimental
Simulation (k-€)
Simulation (k-w)
Simulation
Variable
Scatterplot of Head (m) Exp, Simulation (, ... vs Discharge

17. Welcome to Minitab, press F1 for help.
One-way ANOVA: Head (m) Experim, Simulation (k-€), Simulation (k-w), Simulation
Source DF SS MS F P
Factor 3 5.83 1.94 0.67 0.580
Error 32 93.44 2.92
Total 35 99.27
S = 1.709 R-Sq = 5.87% R-Sq(adj) = 0.00%
Level N Mean StDev
Head (m) Experimental 9 14.606 1.763
Simulation (k-€) 9 15.506 1.694
Simulation (k-w) 9 15.647 1.676
Simulation 9 15.361 1.701
Individual 95% CIs For Mean Based on
Pooled StDev
Level ------+---------+---------+---------+---
Head (m) Experimental (-----------*-----------)
Simulation (k-€) (-----------*-----------)
Simulation (k-w) (----------*-----------)
Simulation (-----------*----------)
------+---------+---------+---------+---
14.0 15.0 16.0 17.0
Pooled StDev = 1.709

18. SimulationSimulation (k-w)Simulation (k-€)Head (m) Experimental
18
17
16
15
14
13
12
11
Data
Boxplot of Head (m) Experimental, Simulation (k-€), Simulation (k-w), Simulation