Tags:Cosinusoidal Shape Profile, Creager, Design and Spillway
Abstract:
Water jets is a subject that has aroused and continues to arouse the curiosity of several engineers. It was through the studies of water jet that the Scimemi Engineer studies of sill slope, where he approached the curve formed by the jet from a thin sill to a parabolic shape. The filling of the lower part of the jet was identified the occurrence of negative pressures. due to this fact several scholars began to adjust curves to co mpensate for this phenomenon, being that currently the profile proposed by Creager is one of the most used these days. Several adjustments were made to better the transition between the upstream stretch and the downstream stretch, started by a circle arc going to the realization of several divisions with variations of radius arriving today to an elliptical curve. All these adjustments show agreement by tangency, but no agreement exists for the radius of curvature. In order to make the agreement between the upstream and downstream profiles not only by tangency but also by radius of curvature, this work carried out the studies using a cosinusoidal equation. Cosinusoidal equation presents as characteristics a radius of curvature defined and adjustable in the region of the crest and in the chute where the radius of curvature becomes infinite allowing the agreement with a chute. In this way an adjustment to the cosinusoidal curve was made so that the crest and the point of transition with the straight line were coincident with the points of a Creager profile. Once this adjustment was made and the radius of curvature was defined in the crest region, the profile was studied by Maynord so that it obtained the same radius of curvature in the ridge region. After the adjustments, it was verified that the new proposal of spillway has a smaller volume of concrete compared to a classic profile composed by Creager and Maynord, and the pressure line shows higher values in compare with a classical profile for a water level line similar.
Weir with a Combination Cosinusoidal and Maynord Modified Shape Profile Compared with Creager and Maynord Shape Profile