Evolution of the Water Head in a Closed Circular Pipe

Abstract

The filling or the pressurizing of closed pipes used to collect water, to transfer it, to evacuate it or its bringing from a tank implies an evolution of the water head which will be assimilated to a hydraulic jump in the first phase .This jump is characterized by two conjugates heads related thanks to a formulation relating them to the Froude number obtained using a linear regression applied to the experimental results of tests carried on a Plexiglas pipe using a pump for its filling. These heads change in time too until having the value of the diameter’s pipe or exceeding it .this phenomena makes transition between different types of flow and three states will be observed: a free surface section, a full section no pressurized and a pressurized one. The relationship which we have obtained presents a good correlation but it is different from the Belanger’s one addressed to rectangular shape of channels. In this study we hope that we will contribute to explain this complicated passage from a state of flow to another said mixed flow by the evolution of the conjugate heads in a closed and circular pipe, in order to control better flows in collectors.