Direct Prediction of Discharge at Supercritical Flow Regime Based on Brink Depth for Inverted Semicircular Channels

Abstract

The end depth of a free overfall (also known as the brink depth) provides a good hint about how to measure discharge (Q). This technical note details two theoretical approaches for computing end depth ratio (EDR) and end depth discharge (EDD) relationships based on the equations of momentum and energy for inverted semicircular channel cross sections. Direct solutions of Q from a known end depth are provided. Available experimental data and previous studies were used to verify the proposed relationships for both approaches.