Open AccessTHREE-DIMENSIONAL PROBLEM OF FLOW OF VISCOUS LIQUID THROUGH AN OPEN CHANNEL IN THE FORMULATION OF A NUMERICAL SOLUTION
Author(s) -
K.T. Osmonov
Publication year - 2021
Publication title -
vestnik kyrgyzskogo gosudarstvennogo universiteta stroitelʹstva, transporta i arhitektury im.n.isanova/n.isanov atyndagy kyrgyz mamlekettik kuruluš,transport žana arhitektura universitetinin žarčysy
Language(s) - English
Resource type - Journals
eISSN - 1694-8181
pISSN - 1694-5298
DOI - 10.35803/1694-5298.2021.4.689-699
Subject(s) - open channel flow , reynolds number , flow (mathematics) , mathematics , mechanics , trigonometric functions , channel (broadcasting) , boundary value problem , geometry , viscous liquid , compressibility , mathematical analysis , cross section (physics) , physics , turbulence , computer science , computer network , quantum mechanics
The article considers the statistically stationary incompressible flow of a viscous liquid in an open inclined channel of rectangular cross-section with large Reynolds numbers. A threedimensional numerical model with a periodic boundary condition along the axis of the main flow is proposed. Three-layer boundary conditions are placed on the wall and near the channel wall, and on the free surface - conditions of non-zero or zero tangential voltage. To solve the problem, the predictor-corrector schemes of the method of fractional steps by horizontal coordinates with a cosine-oidal spectral function by vertical coordinate are used. A general algorithm for solving the problem with an isoperimetrically optimized cross-section parameter is compiled.