The clinging condition finished at Ht′/P′ ∼ 0.07 for α = 6, 8, 12, and 20° and at Ht′/P′ ∼ 0.06 for α = 10°, 15°. The compound labyrinth weir with α = 35° was observed to change directly to an aerated or partially aerated nappe condition. The nappe aeration condition was observed when 0.12 < Ht′/P′ < 0.22 for α = 35°. Depending on α, the largest range of aeration nappe was observed for α = 6–20°. The nappe condition changes from aerated to partially aerated at 0.23 ≤ Ht′/P′ ≤ 0.43 for α = 6°. Depending on α, the largest range of partially aerated nappe was observed for α = 8–35°. The nappe drowned condition was observed when Ht′/P′ > 0.43 for α = 6°. Also, when α increased, the nappe drowned condition increased. The range of Ht′/P′ observed for each nappe aeration condition of compound labyrinth weirs is shown in Table 5. This table will assist the designer to avoid using undesirable ranges of Ht′/P′ in the design process.

Table 5

Nappe aeration conditions for ranges of Ht′/P′ of compound labyrinth weirs with a quarter-round crest

(Ht′/P)
α (°)ClingingAeratedPartially aeratedDrowned
<0.073 0.073–0.23 0.23–0.43 >0.43 
<0.067 0.067–0.31 0.31–0.48 >0.48 
10 <0.064 0.064–0.32 0.32–0.5 >0.5 
12 <0.074 0.074–0.29 0.29–0.54 >0.54 
15 <0.06 0.06–0.28 0.28–0.58 >0.58 
20 <0.07 0.07–0.26 0.26–0.60 >0.60 
35 – 0.12–0.22 0.22–0.62 >0.62 
(Ht′/P)
α (°)ClingingAeratedPartially aeratedDrowned
<0.073 0.073–0.23 0.23–0.43 >0.43 
<0.067 0.067–0.31 0.31–0.48 >0.48 
10 <0.064 0.064–0.32 0.32–0.5 >0.5 
12 <0.074 0.074–0.29 0.29–0.54 >0.54 
15 <0.06 0.06–0.28 0.28–0.58 >0.58 
20 <0.07 0.07–0.26 0.26–0.60 >0.60 
35 – 0.12–0.22 0.22–0.62 >0.62 

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