Engineering Hydrology
DOI: http://www.dx.doi.org/10.24866/2227-6858/2019-4-16
Zemljanaja N., Shalanin V.
NINA ZEMLJANAJA, Doctor of Engineering Sciences, Professor, SPIN 8548-7560,AuthorID 326670, ScopusID 6602528786,e-mail: nina-z@list.ru
VIKTOR SHALANIN, Senior Lecturer, SPIN 2018-0845, AuthorID 846730,
ScopusID 57204209745, e-mail: vic_stro_@mail.ru
Department of Engineering Systems of Buildings and Structures, School of Engineering
Far Eastern Federal University
8 Sukhanova St., Vladivostok, Russia, 690091
Application of the principle of minimum curvature
for calculating the curvilinear shapes of spillway surfaces
Abstract: Various empirical dependencies constitute the basis of the existing methods for profiling the upper part of the spillway crest. In order to solve this problem, the article applies the variation principle of least action, which allowed obtaining the range of the water jet and the spillway's profile without using empirical coefficients. The results of theoretical studies are compared with the data of a numerical experiment for the flat problem of a flow falling from a ledge and laboratory for a ledge with round and triangular cross sections. To verify the theoretical approach, the obtained dependences are compared with existing methods for calculating the lower surface of free water jets, as well as the upper part of the curved spillway surface of spillways with a horizontal ridge and a practical profile. Comparison results of the above methods with experimental data showed the consistency of the proposed theoretical solution, the practical applicability of the developed method in solving design problems of constructing the profiles of overflow heads.Keywords: ANSYS, Fluent, numerical simulation, principle of least action, broad-crest spillway, ogee spillway, k-ɛ turbulence model, Ritz direct variational method.
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