Application of the principle of minimum curvature for calculating the shape of the curved spillway surface of low-backwater spillway structures

The paper deals with the application of the curvature minimum principle for calculating the shape of the curved spillway surface of low-backwater spillway structures using the example of the descent of the fluid of a stream from a vertical ledge and from broad crest spillway. There were carried out field and numerical experiments using the software complex ANSYS. Determined was the shape of the spillway surface by way of determining the coordinates of the lower part of the descending jet of fluid. The numerical experiment was carried out for a free jet as well as a submerged adherent one. The reliability of the chosen hypothesis was verified with the use of the determination index and the Fisher criterion.

In the considered range of flow rate, the theoretical dependence rather well depicts the experimental data. According to the results of all the experiments, the minimum value of the determination index is 0.975, and the minimum value of the Fisher test is 515.79.м