196
4 Numerical Methods and Simulation for Pebble Flows
Table 4.7 Independence test on simulation time
Circulating
rate
(pebbles/s)
Characteristic
value
Simulation time (s)
150
300
450
600
750
1000
F1
V1(d /s)
/
/
0.0077
0.008
0.0083
0.0083
σ
/
/
0.070
0.073
0.074
0.074
S(skewness) /
/
18.56
17.56
16.80
16.80
K(kurtosis)
/
/
486.6
404.8
381.2
381.2
F2
V2(d /s)
/
0.088
0.089
0.089
0.089
/
σ
/
0.243
0.242
0.241
0.241
/
S(skewness) /
4.72
4.78
4.74
4.74
/
K(kurtosis)
/
31.26
32.89
32.21
32.21
/
F3
V3(d /s)
/
0.444
0.445
0.446
0.446
/
σ
/
0.553
0.559
0.559
0.559
/
S(skewness) /
2.06
2.07
2.07
2.07
/
K(kurtosis)
/
8.22
8.24
8.25
8.25
/
F4
V4(d /s)
0.891
0.892
0.892
0.892
/
/
σ
0.790
0.788
0.788
0.788
/
/
S(skewness) 1.53
1.49
1.49
1.49
/
/
K(kurtosis)
5.89
5.76
5.74
5.74
/
/
F5
V5(d /s)
4.454
4.456
4.456
4.456
/
/
σ
1.732
1.709
1.706
1.706
/
/
S(skewness) 0.37
0.37
0.38
0.38
/
/
K(kurtosis)
2.83
2.81
2.79
2.79
/
/
F6
V6(d /s)
8.956
8.957
8.957
/
/
/
σ
2.625
2.612
2.612
/
/
/
S(skewness) 0.12
0.10
0.10
/
/
K(kurtosis)
2.74
2.67
2.67
/
/
/
Table 4.8 Some statistics parameters for different flow rates
Circulating
Mean velocity σ
S
K
Coefficient of
rate
(d /s)
(skewness)
(kurtosis)
variation(CV)
F1
0.0083
0.074
16.80
381.2
8.915
F2
0.089
0.241
4.74
32.21
2.707
F3
0.446
0.559
2.07
8.25
1.253
F4
0.892
0.788
1.49
5.74
0.883
F5
4.456
1.706
0.38
2.79
0.383
F6
8.957
2.612
0.10
2.67
0.292