Open AccessTwo-dimensional motion equations in water flow zone
Author(s) -
Sergey Evtushenko,
Dmitry Kelekhsaev,
В. Н. Коханенко,
Anatoly Kondratenko
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/698/6/066026
Subject(s) - bernoulli's principle , open channel flow , flow (mathematics) , water flow , geometry , mechanics , geology , flow velocity , perpendicular , equations of motion , fluid dynamics , channel (broadcasting) , geotechnical engineering , mathematics , physics , classical mechanics , engineering , electrical engineering , thermodynamics
The paper studies a two-dimensional water flow from a non-pressure rectangular or round pipe placed into a wide horizontal channel. To simplify the problem, the real three-dimensional flow is modeled as a two-dimensional zone by eliminating the liquid particles’ velocities and accelerations in the direction perpendicular to the flow zone. To describe the water flow motion law, L. Euler’s equations for the ideal fluid are used, taking into account the continuity equations and the Bernoulli equation. The two-dimensional flow models in the spreading zone with the adequacy degree sufficient for practice, describe the movement of water flows arising in the lower road drainage systems races, Liman irrigation systems, small bridges, water volley channels, various culverts and water-crossing facilities. The obtained dependences of the velocity distribution, depth and water flow geometry give an accuracy exceeding that known by the previously used methods both by the velocity values and by the boundary current lines geometry.