Surface velocity coefficients for application of the float method in rectangular and compound open channels

A three-dimensional mathematical hydraulic model was applied to calculate velocity profiles and discharge under steady, uniform flow conditions in rectangular and compound open-channel cross sections. The velocity profiles were used to calculate surface velocity coefficients for use with the float method for discharge estimation in the field. Surface velocity coefficients were calculated at increments of one-eighth of the base width from the vertical walls to the center of the cross section, and submergence of the float object from 0 to 30 cm, with a 5-cm depth increment. Model results were summarized to show the relationship between surface velocity coefficient and channel characteristics compared to values published by the US Bureau of Reclamation (USBR). For rectangular cross sections, the coefficients from the model are generally higher than the published USBR values. But the coefficients from the model and USBR are in very close agreement for the tested compound cross sections. The published coefficients by the USBR are a function of only average water depth. However, the model results show that the coefficient is also related to channel size, cross-sectional aspect ratio, surface roughness height, float submergence and lateral location of the float object. These factors should be included in the determination of the surface velocity coefficient to improve the discharge estimations from the application of the float method.