Flow at an Ogee Crest Axis for a Wide Range of Head Ratios: Theoretical Model

The discharge coefficient of an ogee crest is a function the ratio effective head to design head. purpose present study derive theoretical model this relation, which does not depend on empirical coefficients and whose predictions over wide range ratios are accurate enough for practical use. developments consider unsubmerged crests without approach flow or lateral contraction effects, heads large enable surface tensions be neglected, small avoid separation. method based potential theory, depth integration in curvilinear reference frame, critical theory. characteristics shape defined by trajectory free jet passing at dimensionless equations show that position section apex crest. Nevertheless, they also suggest approximate equation from derived, together with local water depth, velocity, pressure distribution. results compare well experimental data between 0 5, validates underlying assumptions model.