Modeling of Flow Velocity Using Weirs

Basic equations for determining the cross‐section shape of the channel, in which the average flow velocity is a specified function of the head, ν=ν(h), are derived in this work for the case of modeling of flow velocity with proportional weirs. Studies are carried out for one‐ and two‐part weirs with discharge characteristics described by a power function. For both types of weirs, functions that represent the channel cross‐section shape are calculated from the flow continuity condition developed for the weir and in the upstream channel. The study on possibility of application of two‐part weirs comprises two particular cases: when the weir crest is located at the channel bottom and when the weir crest is located above the channel bottom. The work also presents particular solutions for flow velocity described with a function in the form of power monomial.