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. 2024 Apr 8;14:8236. doi: 10.1038/s41598-024-59075-7

Table 7.

Fitted parameters and goodness of fit indicators for the Logistic velocity profile model for both PVC90 and PVC63 treated pipes.

Test Re K u* Vmax R2 MAE RMSE
(m/s) % (m/s) %
PVC90 1 1.27E+04 − 0.04 0.0 0.19 0.01 0.0140 9.26 0.0005 10.77
2 1.95E+04 − 0.04 0.0 0.28 0.01 0.0101 4.34 0.0001 5.27
3 2.13E+04 − 0.04 0.0 0.30 0.01 0.0152 6.00 0.0006 7.07
4 2.77E+04 − 0.05 0.0 0.38 0.00 0.0083 2.52 0.0001 2.86
5 3.28E+04 − 0.05 0.0 0.44 0.01 0.0104 2.67 0.0002 3.08
6 3.88E+04 − 0.07 0.0 0.53 0.01 0.0131 2.84 0.0005 3.36
7 4.40E+04 − 0.08 0.0 0.60 0.01 0.0160 3.05 0.0007 3.30
8 4.86E+04 − 0.09 0.0 0.66 0.00 0.0088 1.51 0.0001 1.92
9 5.36E+04 − 0.08 0.0 0.72 0.01 0.0104 1.63 0.0000 1.97
10 6.40E+04 − 0.12 0.0 0.88 0.01 0.0192 2.52 0.0008 2.87
11 7.48E+04 − 0.12 0.0 1.00 0.01 0.0097 1.08 0.0000 1.45
12 8.32E+04 − 0.13 0.1 1.12 0.01 0.0185 1.87 0.0009 2.26
PVC63 1 1.11E+04 − 0.07 0.03 0.26 0.70 0.0318 16.83 0.0000 20.35
2 1.41E+04 − 0.07 0.03 0.31 0.92 0.0132 5.53 0.0002 6.65
3 2.13E+04 − 0.05 0.02 0.41 0.96 0.0081 2.22 0.0000 2.40
4 2.74E+04 − 0.05 0.02 0.51 0.80 0.0169 3.64 0.0003 4.16
5 3.68E+04 − 0.07 0.03 0.69 0.83 0.0226 3.60 0.0005 4.00
6 4.28E+04 − 0.06 0.02 0.78 0.76 0.0208 2.86 0.0006 3.60
7 4.93E+04 − 0.08 0.03 0.91 0.89 0.0200 2.38 0.0003 2.78
8 5.54E+04 − 0.11 0.05 1.05 0.94 0.0204 2.17 0.0003 2.32
9 5.99E+04 − 0.13 0.05 1.14 0.98 0.0151 1.48 0.0002 1.57
10 6.86E+04 − 0.16 0.06 1.31 1.00 0.0074 0.64 0.0000 0.73
11 8.96E+04 − 0.22 0.09 1.72 0.99 0.0160 1.05 0.0001 0.79
12 9.36E+04 − 0.22 0.09 1.79 0.98 0.0250 1.57 0.0000 1.33