Table 5 Dimensionless design variable and the corresponding cavitation area and \({\overline{\text{W}}}\) for the JFO and Half-Sommerfield conditions (unrestricted).

From: On the optimal texture shape with the consideration of surface roughness

 

\(\overline{X}_{1}\)

\(\overline{L}_{1}\)

\(\overline{X}_{2}\)

\(\overline{L}_{2}\)

\(\overline{X}_{3}\)

\(\overline{L}_{3}\)

\(\overline{X}_{4}\)

\(\overline{L}_{4}\)

\(\overline{X}_{5}\)

\(\overline{L}_{5}\)

\(\overline{X}_{6}\)

\(\overline{L}_{6}\)

\(\overline{X}_{7}\)

\(\overline{L}_{7}\)

\(\overline{h}_{g}\)

\({\overline{\text{W}}}\)

Area ratio (%)

Cavitation area ratio (%)

JFO

0.02

0.33

0.44

0.35

0.92

0.86

0.83

0.43

0.99

0.93

0.51

0.42

0.06

0.21

0.46

9.13

42.6

0.0

Half-Summerfield

0.02

0.10

0.39

0.64

0.66

0.73

0.85

0.70

0.71

0.72

0.43

0.54

0.08

0.18

0.35

10.76

54.3

4.9