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

Table5.

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

Test Re K u* Vmax R2 MAE RMSE
(m/s) % (m/s) %
PVC90 1 2.54E+04 − 0.04 0.0 0.35 0.63 0.0322 10.63 0.0034 12.06
2 2.96E+04 − 0.05 0.0 0.40 0.68 0.0354 10.01 0.0048 11.68
3 3.85E+04 − 0.08 0.0 0.54 0.99 0.0336 7.31 0.0061 9.46
4 4.48E+04 − 0.07 0.0 0.60 0.94 0.0302 5.64 0.0076 7.48
5 4.93E+04 − 0.09 0.0 0.67 0.97 0.0366 6.23 0.0099 8.04
6 5.66E+04 − 0.09 0.0 0.76 0.98 0.0371 5.49 0.0093 6.90
7 5.96E+04 − 0.11 0.0 0.82 0.99 0.0448 6.29 0.0125 7.94
8 6.50E+04 − 0.11 0.0 0.88 0.99 0.0437 5.63 0.0105 7.11
9 7.58E+04 − 0.12 0.0 1.02 0.99 0.0507 5.61 0.0145 7.26
10 8.41E+04 − 0.14 0.1 1.13 0.99 0.0567 5.65 0.0168 7.11
PVC63 1 9.03E+03 − 0.09 0.04 0.30 0.96 0.0148 9.61 0.0002 10.31
2 1.44E+04 − 0.10 0.04 0.44 0.97 0.0122 5.00 0.0002 5.79
3 2.05E+04 − 0.10 0.04 0.59 0.98 0.0094 2.71 0.0000 3.14
4 2.62E+04 − 0.09 0.04 0.72 0.99 0.0042 0.94 0.0000 1.20
5 3.01E+04 − 0.10 0.04 0.82 0.95 0.0137 2.69 0.0000 3.19
6 3.31E+04 − 0.10 0.04 0.90 0.98 0.0098 1.73 0.0000 2.05
7 4.01E+04 − 0.12 0.05 1.08 0.98 0.0105 1.55 0.0001 1.97
8 4.25E+04 − 0.13 0.05 1.15 0.98 0.0107 1.49 0.0000 1.75
9 4.82E+04 − 0.15 0.06 1.31 0.99 0.0097 1.18 0.0000 1.36
10 5.27E+04 − 0.15 0.06 1.42 0.99 0.0104 1.16 0.0000 1.38
11 5.67E+04 − 0.18 0.07 1.55 0.99 0.0188 1.95 0.0000 1.44
12 6.30E+04 − 0.20 0.08 1.71 0.99 0.0237 2.21 0.0000 1.73