Sluice Gate

**Figure:** Sluice gate geometry
$\begin{figure}\epsfig{file=Sluice.eps,width=10cm}\end{figure}$

The sluice gate is the upstream element of a pair of boundary elements simulating a sluice. The downstream element is the sluice opening. Both are illustrated in Figure . The interesting point is that the gate height h_g may be part of the backwater curve, but it does not have to. If the lower point of the gate is higher than the fluid surface, it will not be part of the backwater curve.

If the gate door touches the water and the water curve is a frontwater curve (curve A in Figure ) the volumetric flow Q is given by

Q=b h_g \sqrt{2 g (h-h_g \sqrt{1 - S_0^2})},

(162)

if the gate door does not touch the water and the water curve is a frontwater curve the volumetric flow Q is given by

Q=b h_c \sqrt{2 g (h-h_c \sqrt{1 - S_0^2})},

(163)

where h_c is the critical depth. If the gate door touches the water and the water curve is a backwater curve (governed by downstream boundary conditions, curve B in Figure )) the volumetric flow is given by

Q=b h_g \sqrt{2 g (h-h_d \sqrt{1 - S_0^2})}.

(164)

Finally, if the gate door does not touch the water and the water curve is a backwater curve the volumetric flow is given by

Q=b h_d \sqrt{2 g (h-h_d \sqrt{1 - S_0^2})}.

(165)

The following constants have to be specified on the line beneath the *FLUID SECTION,TYPE=CHANNEL SLUICE GATE card:

the width b
the slope S_0= \sin \phi (if S_0<-1 the slope is calculated from the coordinates of the end nodes belonging to the element)
the height of the gate door h_g
not used
the number of the downstream sluice opening element
the number of the upstream reference element, if any

The slope S_0 is used in case the gate door does not touch the water surface. The cross section of a sluice gate is supposed to be rectangular. Therefore, \theta is lacking in its definition. Notice that a sluice gate can have upstream channel elements attached to it. In that case it is mandatory to specify an upstream reference element.

Example files: channel1, chanson1.