Table5 Fitted parameters and goodness of fit indicators for the Logistic velocity profile model for both PVC90 and PVC63 untreated pipes.

From: Application of a hydrophobic coating to a pressurized pipe and its effect on energy losses and fluid flow profile

 

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

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