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Progress in Earth and Planetary Science

Table 1 Summary of flume data used for the analysis

From: Upper and lower plane bed definitions revised

Reference

# of points

Particle diameter D50 [mm]

Flow depth h [m]

Flow velocity U [m/s]

Particle Reynolds number Rep

Shields number Ï„*

Suspension index

u*/ws

Froude

number

Fr

Barton and Lin (1955)*

11

0.18

0.13–0.24

0.74–1.09

9.74–11.1

0.47–1.13

1.7–2.88

0.52–0.87

Bridge and Best (1988)

2

0.3

0.1–0.1

0.9–0.98

19.85–21.86

1.29–1.38

1.98–2.02

0.91–0.99

Brooks (1955)*

8

0.09–0.15

0.06–0.09

0.6–0.65

3.7–8.63

0.43–0.77

1.98–5.03

0.71–0.81

Cao (1985)

84

11.5–44.3

0.02–0.26

0.31–1.64

4594–38,250

0.007–0.20

0.07–0.39

0.43–1.75

Chyn (1935)*

2

0.79

0.05–0.06

0.37–0.4

92.99–94.46

0.051–0.057

0.24–0.25

0.51

Costello (1974)*

8

0.6–0.79

0.15–0.16

0.32–0.39

72.28–103.48

0.019–0.055

0.14–0.26

0.26–0.31

E. Pakistan (1966, 68–69)*

4

0.25–0.33

0.15–0.3

0.19–0.86

17.66–28.31

0.019–0.46

0.21–1.27

0.11–0.71

Fukuoka et al. (1982)

18

0.19–1.6

0.02–0.07

0.35–1.19

10.52–256.97

0.037–0.76

0.18–1.3

0.61–2.12

Gee (1975)

3

0.31

0.08

0.94–1.02

21.73–23.12

0.47–0.55

1.16–1.21

1.06–1.17

Gilbert (1914)*

250

0.31–4.94

0.02–0.12

0.49–1.42

21.39–1393.27

0.062–0.90

0.22–1.42

0.79–2.08

Guy et al. (1966)

48

0.19–0.93

0.09–0.31

0.2–1.64

9.88–121.18

0.022–1.50

0.16–2.32

0.14–1.63

Jopling and Forbes (1979)

4

0.05

0.04–0.09

0.06–0.73

1.43–1.47

0.94–4.60

13.1–28.81

0.06–1.11

Jorissen (1938)*

9

0.6–0.91

0.02–0.09

0.26–0.44

57.79–118.26

0.045–0.097

0.22–0.34

0.43–0.59

Julien and Raslan (1998)

18

0.2–0.6

0.04–0.14

0.35–0.79

9.26–51.22

0.13–1.0

0.43–2.87

0.47–0.92

Kalinske and Hsia (1945)

1

0.01

0.16

0.83

0.15

8

347.79

0.67

Kennedy (1961)

12

0.23–0.55

0.02–0.11

0.61–1.05

15.68–60.75

0.36–0.62

0.81–1.57

0.73–2.04

Kennedy and Brooks (1963)

4

0.14

0.07–0.08

0.6–0.67

7.61–7.68

0.54–0.76

2.36–2.81

0.69–0.82

Kuhnle and Wren (2009)

2

0.5

0.17–0.18

0.68

44.89–45.3

0.41–0.64

0.81–1.02

0.51–0.53

Laursen (1958)

1

0.11

0.14

1.02

4.94

0.65

3.64

0.86

Mutter (1971)*

5

0.26

0.01–0.04

0.29–0.79

18.98–20.07

0.21–0.70

0.82–1.51

0.46–1.91

Neill (1967)**

30

5–20

0.03–0.18

0.5–1.13

1348.6–10,896.09

0.023–0.059

0.13–0.21

0.42–1.52

Nomicos (1956)*

12

0.09–0.15

0.07–0.08

0.56–0.81

3.89–8.93

0.42–0.83

1.96–4.52

0.66–0.95

Nordin (1976)

7

0.25–0.25

0.33–0.6

1.26–1.75

15.95–17.64

0.81–1.89

1.76–2.71

0.63–0.81

Pratt (1970)*

12

0.48

0.08–0.46

0.14–0.27

37.89–45.9

0.006–0.02

0.1–0.18

0.08–0.21

Rathbun and Guy (1967)

2

0.3

0.06–0.07

0.23–0.24

20.86

0.026–0.027

0.28–0.29

0.29

Singh (1960)*

30

0.62

0.01–0.07

0.28–0.8

51.98–60.15

0.042–0.56

0.24–0.88

0.4–1.2

Stein (1965)*

9

0.4

0.1–0.3

0.94–1.68

33.68–38.15

0.55–2.0

1–1.94

0.71–1.17

Taki and Parker (2005)

10

0.02–0.12

0.001–0.003

0.15–0.43

0.33–5.28

0.72–2.71

3.63–90.52

1.26–2.94

Tanaka (1970)

10

0.15–0.91

0.04–0.13

0.6–1.86

7.01–110.22

0.55–1.25

0.83–3.85

0.68–2.34

Taylor (1971)

31

0.14–3.95

0.06–0.18

0.2–0.88

7.61–1243.08

0.021–0.5

0.14–2.15

0.26–0.84

Ueno (1981)

8

0.23–0.6

0.01–0.03

0.21–0.31

12.48–56.86

0.031–0.08

0.21–0.65

0.52–0.6

U. S. W. Exp. Sta. (1935)*

75

0.18–4.1

0.01–0.12

0.25–0.68

8.97–1051.56

0.03–0.079

0.15–0.8

0.47–0.76

U. S. W. Exp. Sta. (1936)***

87

0.46–1.2

0.07–0.08

0.37–0.39

42.18–171.16

0.028–0.075

0.16–0.35

0.42–0.46

Vanoni and Brooks (1957)*

3

0.14

0.06–0.17

0.63–0.77

6.27–7.17

0.58–0.69

2.61–3.11

0.6–0.81

Williams (1970)

26

1.35

0.02–0.15

0.33–2.34

143.77–228.03

0.033–0.61

0.17–0.75

0.4–3.5

Willis et al. (1972)*

43

0.1

0.12–0.32

0.69–1.57

3.77–4.89

0.40–2.55

3.12–7.9

0.48–1

Znamenskaya (1963)*

1

0.18

0.09

0.71

9.7

0.47

1.87

0.77

  1. *Cited from the dataset of Brownlie (2018). **Cited as Neill (1967) in Brownlie (2018). ***Cited as US Waterways Exp. Sta. (1936B) in Brownlie (2018)
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