Chapter VII
Wave flume
90
Where the amplitude H is given by:
𝐻 =
𝜎𝐴
𝑔
cos (𝑘 1 ℎ)
Equation VII-20
from the Equation VII-1 we find that 𝜎 = 𝜔.
By substituting the expression for A into the expression for H and using the dispersion
relationship to determine 𝜎
2 , we can derive the solution for a general first-order wavemaker.
𝐻
𝑆 0
=
4 sinh 𝑘ℎ
𝑠𝑖𝑛ℎ 2𝑘ℎ+2𝑘ℎ
[sinh 𝑘ℎ
(1−cosh 𝑘ℎ)
𝑘ℎ
]
Equation VII-21
VII.3. Wave flume synthesis
The sketch illustrated in the Figure VII-2 will be referred to during the synthesis. It should be
noted that the water is present only on one side.
Figure VII-2 Wave flume sketch (Mario, 2019).
The dimensions of the target wave flume and the quantities mentioned in the Figure VII-2are
detailed in the Table VII-1.
Table VII-1 System dimensions summary.
30 𝑚 𝑥 2.2 𝑚 𝑥 0.88 𝑚
Wave flume dimensions
𝑇 = 0.5 𝑠 − 2.5 𝑠
Wave period range of interest
ℎ = 0.7 𝑚
Water depth
ℎ 𝑐 = 1.1 𝑚
Height of the link between flap and electro cylinder