Theoretical End-Depth-Discharge Relationship for Free Overfall

Abstract

Despite the many theoretical and experimental studies carried out in channels having different cross-section shape, slope, and roughness, the problem of the free overfall as a flow measuring device has not been completely solved, and other experiments are needed. A theoretically based end-depth-discharge relationship is obtained for both subcritical and supercritical flow in rectangular, triangular, and trapezoidal channels. For each cross-section shape, discharges predicted using the theoretical relationship are compared with the available experimental data.