The steady flow in open channels, when the depth of the flow varies gradually with distance, is governed by the classic gradually-varied-flow equation. The solution of this ordinary differential equation allows the tracing of the longitudinal profiles of the water surface of the flow. In this note, a relation, obtained by direct integration, is proposed for a wide rectangular channel, when Manning's formula is used, for the computation of the energy slope. Then, the profiles for subcritical and supercritical flow in a mild and steep channel are presented and a comparison with the Bresse solution, relative to the same channels, is carried out.
Direct Integration of the Equation of Gradually Varied Flow
VENUTELLI, MAURIZIO
2004-01-01
Abstract
The steady flow in open channels, when the depth of the flow varies gradually with distance, is governed by the classic gradually-varied-flow equation. The solution of this ordinary differential equation allows the tracing of the longitudinal profiles of the water surface of the flow. In this note, a relation, obtained by direct integration, is proposed for a wide rectangular channel, when Manning's formula is used, for the computation of the energy slope. Then, the profiles for subcritical and supercritical flow in a mild and steep channel are presented and a comparison with the Bresse solution, relative to the same channels, is carried out.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
