As shown in Figure 5, empirical curves are used to simulate experimental data using IBM SPSS 22 software (Allen
et al. 2014). Equations (
10) and (
11) are valid for 0.05 ≤
Ht′/
P′ < ∼0.75–0.8, and the coefficients of A, B, C, and D are tabulated in Table 3. After applying Equation (
10) for compound labyrinth weir and Equation (
11) for compound linear weir, the data display a well-behaved nature when the
Cdc (
α°) curves have been generalised to
Ht′/
P′ = 1.0, as shown in Figure 5 with dashed lines. Equations (
10) and (
11) were selected instead of polynomial formulas because the data have a good correlation representation (
R2 ≥ 0.98). In addition, extrapolation performance remains well-behaved up to
Ht′/
P′
≤ 2.0. Equations (
10) and (
11) reflect a good choice for the designer in the case of using compound labyrinth weirs with different sidewall angles:
Table 3Fitting coefficients valid for 0.05 ≤ Ht′/P′ < ∼0.75–0.8
Crest shape
. | Fitting coefficients
. | Sidewall angle (α)
. |
---|
6°
. | 8°
. | 10°
. | 12°
. | 15°
. | 20°
. | 35°
. | 90°
. |
---|
Quarter-round crest | A | 0.601 | 0.653 | 0.697 | 0.732 | 0.749 | 0.765 | 0.543 | 2.716 |
B | 0.254 | 0.268 | 0.28 | 0.346 | 0.376 | 0.466 | 0.804 | 0.061 |
C | 0.353 | 0.384 | 0.446 | 0.435 | 0.475 | 0.544 | 0.642 | 1.127 |
D | 3.262 | 2.923 | 2.886 | 3.313 | 3.255 | 4.916 | −4.25 | 0.632 |
R2 | 0.985 | 0.986 | 0.991 | 0.992 | 0.982 | 0.979 | 0.978 | 0.987 |
Crest shape
. | Fitting coefficients
. | Sidewall angle (α)
. |
---|
6°
. | 8°
. | 10°
. | 12°
. | 15°
. | 20°
. | 35°
. | 90°
. |
---|
Quarter-round crest | A | 0.601 | 0.653 | 0.697 | 0.732 | 0.749 | 0.765 | 0.543 | 2.716 |
B | 0.254 | 0.268 | 0.28 | 0.346 | 0.376 | 0.466 | 0.804 | 0.061 |
C | 0.353 | 0.384 | 0.446 | 0.435 | 0.475 | 0.544 | 0.642 | 1.127 |
D | 3.262 | 2.923 | 2.886 | 3.313 | 3.255 | 4.916 | −4.25 | 0.632 |
R2 | 0.985 | 0.986 | 0.991 | 0.992 | 0.982 | 0.979 | 0.978 | 0.987 |