Discharge Coefficients of a Specific Vertical Slot Fishway Geometry—New Fitting Parameters
Abstract
:1. Introduction
2. State-of-the-Art
3. Experimental Model Data
4. Results and Discussion
4.1. General
4.2. Discharge Coefficients in Accordance with Poleni
4.3. Discharge Coefficients in Accordance with Torricelli
5. Summary and Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Notations
coefficients depending on the fishway geometry (-) | |
discharge area (m2) | |
empirically determined coefficients (-) | |
slot width (m) | |
discharge coefficient (-) | |
discharge coefficient according to Poleni (-) | |
discharge coefficient according to Torricelli (-) | |
calculated discharge coefficient (-) | |
calculated discharge coefficient (-) | |
water level difference (m) | |
mean water level difference (m) | |
geodetic height difference (m) | |
g | acceleration due to gravity (ms−2) |
h | water depth (m) |
headwater depth (m) | |
tailwater depth (m) | |
calculated mean headwater depth (m) | |
calculated mean tailwater depth (m) | |
dimensionless calculated water depth (-) | |
dimensionless calculated mean water depth (-) | |
area-averaged mean water depth in the basin (m) | |
guide element length (m) | |
ratio of guide element length to slot width (-) | |
L | basin length (m) |
ratio of basin length to slot width (-) | |
Q | discharge (m3s−1) |
dimensionless discharge (-) | |
coefficient of determination (-) | |
S | slope (-) |
maximum flow velocity (ms−1) | |
W | basin width (m) |
ratio of basin width to basin length (-) | |
ratio of basin width to slot width (-) | |
average flow depth (m) | |
ratio of average flow depth to slot width (-) |
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Design | W | L | S | Q | Typ of Guide Element | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Mohlfeld and Oertel (2021) [3] | 3 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.025; 0.050 | 0.016; 0.024; 0.032 | 0.190 | 1.60 | linear |
4 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.178 | 1.50 | linear | |||
5 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.178 | 1.50 | bevelled | |||
6 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.178 | 1.50 | spline | |||
7 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.178 | 1.50 | quadrant | |||
BAW (2019) [23] | 3 | 0.8 | 1.01 | 0.120 | 0.79 | 6.67 | 8.42 | 0.028; 0.039; | 0.010 to 0.035 | linear | ||
3 | 0.79 | 1.02 | 0.122 | 0.77 | 6.43 | 8.36 | 0.050; 0.028 | linear | ||||
Klein and Oertel (2018) [25] | 3 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.190 | 1.60 | linear | ||
3.67 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.190 | 1.60 | linear | |||
4 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.025; 0.050 | 0.008 to 0.044 | 0.178 | 1.50 | linear | |
5 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.178 | 1.50 | bevelled | |||
6 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.178 | 1.50 | spline | |||
7 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.178 | 1.50 | quadrant | |||
Klein and Oertel (2017) [6] | 37 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.005 to 0.056 | 0.190 | 1.60 | linear | |
52 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.050 | 0.190 | 1.60 | linear | ||
67 | 0.8 | 1.021 | 0.119 | 0.78 | 6.72 | 8.58 | 0.190 | 1.60 | linear | |||
Krüger et al. (2010) [20] | 1 | 3.3 | 4.5 | 0.45 | 0.73 | 7.33 | 10.00 | 0.056 | 0.769; 0.933; 1.101 | none | ||
Bermúdez et al. (2010) [7] | 2 | 0.3 | 0.38 | 0.168; 0.084; 0.043 | 0.80 | 1.79; 3.58; 7.16 | 2.24; 4.47; 8.94 | 0.050 | 0.0009 to 0.0270 | none | ||
2 | 0.3 | 0.75 | 0.168; 0.084 | 0.40 | 1.79; 3.58 | 4.47; 8.94 | none | |||||
2 | 0.3 | 1.50 | 0.168 | 0.20 | 1.79 | 8.94 | none | |||||
2 | 0.3 | 2.25 | 0.168 | 0.13 | 1.79 | 13.42 | none | |||||
2 | 0.3 | 0.28 | 0.126 | 1.07 | 2.39 | 2.24 | none | |||||
2 | 0.3 | 0.57 | 0.126; 0.043 | 0.53 | 2.39; 7.16 | 4.47; 13.42 | none | |||||
2 | 0.3 | 1.13 | 0.126; 0.084 | 0.27 | 2.39; 3.58 | 8.94; 13.42 | none | |||||
2 | 0.3 | 1.70 | 0.126 | 0.18 | 2.39 | 13.34 | none | |||||
2 | 0.3 | 0.19 | 0.084; 0.043 | 1.60 | 3.58; 7.16 | 2.24; 4.47 | none | |||||
2 | 0.3 | 0.095 | 0.043 | 3.20 | 7.16 | 2.24 | none | |||||
Puertas et al. (2004) [16] | 1 | 0.99 | 1.21 | 0.16 | 0.82 | 6.19 | 7.58 | 0.0570; 0.1005 | 0.0159 to 0.1250 | 0.243 | 1.52 | linear |
2 | 0.99 | 1.21 | 0.15 | 0.82 | 6.60 | 8.09 | none | |||||
Rajaratnam et al. (1992) [17] | 1 | 0.458 | 0.572 | 0.057 | 0.80 | 8.00 | 10.00 | 0.10 | 0.0009 to 0.026 | 0.086 | 1.50 | bevelled |
6 | 0.305 | 0.381 | 0.043 | 0.80 | 7.16 | 8.94 | 0.057; 0.10 | none | ||||
8 | 0.305 | 0.191 | 0.043 | 1.60 | 7.16 | 4.47 | 0.10; 0.149 | none | ||||
9 | 0.153 | 0.191 | 0.043 | 0.80 | 3.58 | 4.47 | 0.10; 0.149 | none | ||||
11 | 0.305 | 0.572 | 0.043 | 0.53 | 7.16 | 13.42 | 0.050; 0.10 | none | ||||
14 | 0.305 | 0.381 | 0.043 | 0.80 | 7.16 | 8.94 | 0.050; 0.10; 0.148 | 0.086 | 2.00 | linear | ||
15 | 0.305 | 0.381 | 0.043 | 0.80 | 7.16 | 8.94 | 0.050; 0.10; 0.148 | 0.086 | 2.00 | linear | ||
16 | 0.305 | 0.381 | 0.046 | 0.80 | 6.65 | 8.31 | 0.050; 0.10 | 0.092 | 2.00 | linear | ||
17 | 0.305 | 0.381 | 0.038 | 0.80 | 8.00 | 10.00 | 0.10; 0.150 | 0.057 | 1.50 | round | ||
18 | 0.305 | 0.381 | 0.038 | 0.80 | 8.00 | 10.00 | 0.10; 0.150 | 0.057 | 1.50 | spline |
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Kasischke, K.; Oertel, M. Discharge Coefficients of a Specific Vertical Slot Fishway Geometry—New Fitting Parameters. Water 2023, 15, 1193. https://doi.org/10.3390/w15061193
Kasischke K, Oertel M. Discharge Coefficients of a Specific Vertical Slot Fishway Geometry—New Fitting Parameters. Water. 2023; 15(6):1193. https://doi.org/10.3390/w15061193
Chicago/Turabian StyleKasischke, Kimberley, and Mario Oertel. 2023. "Discharge Coefficients of a Specific Vertical Slot Fishway Geometry—New Fitting Parameters" Water 15, no. 6: 1193. https://doi.org/10.3390/w15061193