Study on the flow passing through sluice gates on the basis of momentum theorem

Hydraulics of the flow through the gates has been constructed based on the suggestion from Bernoulli's theorem so far. However, since they are set across and trap the flows, gates must produce a considerable energy loss to the flow. So it is considered that the conventional treatment of the gates ignor-ing energy loss contradicts the principle of hydraulics. From the point of this idea, the present paper dealds with the hydraulics of the flow passing through sluice gates based on the momentum theorem which takes into account the flow resistance to obtain the mutuality between the discharge and the water depth of upstream of the gate. Estimations of both the upstream depth of the gate and the discharge showed good agreement with experiments.

sluice gate

flee flow

momentum theorem

flow rate and upstream water depth

mutual dependence relationship