A new approach for deducing the stage-discharge relationship of triangular in plan sharp-crested weirs

• Weirs are hydraulic structures used for measuring discharge.
• The stage-discharge relationship of a weir can be theoretically deduced.
• The stage-discharge relationship of a sharp-crested triangular weir is a power equation.
• The stage-discharge relationship is deduced by dimensional analysis and self-similarity theory.

In this paper, the outflow process of a triangular in plan sharp-crested weir is studied using the dimensional analysis and the incomplete self-similarity theory. The new stage-discharge is theoretically deduced and its testing is carried out using measurements available in literature.