Flow through riser

A two stage riser with low flow controlled with an orifice and high flow controlled with a weir.

There are many configurations for multistage risers according to the flow control requirements. It is easiest to begin downstream and design with the the highest return period required in mind. e.g. start by specifying the pipe/culvert component to control the 100 year flow. Then to work backwards to size the lip or weir at the top of the structure to meet the next return period flow.

The riser is then designed with flow through one or more orifices.

$Q=\left\{{\begin{matrix}0,&Z\leq Z_{0}\\C_{w}L_{w}\left(Z-Z_{0}\right)^{1.5},&Z_{0}\leq Z\leq Z_{0}+H_{0}\\C_{d}A_{0}{\sqrt {2g\left(Z-Z_{0}-0.5H_{0}\right)}},&Z_{0}+H_{0}\leq Z\leq Z_{1}\\C_{w}L_{w}\left(Z-Z_{1}\right)^{1.5}+C_{d}A_{o}{\sqrt {2g\left(Z-Z_{1}\right)}},&Z_{1}<Z\end{matrix}}\right.$

Where:

• Z = the depth of ponded water in m,
• Z₀ = the elevation of the bottom of the orifice in m,
• H₀ = the height of the orifice in m,
• Z₁ = the elevation of the weir in m,
• C_w = the weir coefficient,
• L_w = the length of the weir in m,
• C_d = the discharge coefficient of the orifice (often defaulted to 0.6 for a sharp edged orifice),
• A_o = the cross-sectional area of the orifice in m²,

For review

https://www.hydrologystudio.com/no-fail-detention-pond-design/