INFORMATION TECHNOLOGIES: RESEARCH PROBLEMS FOR MINIMIZING LOSSES IN FLUID TRANSPORTATION IN OPEN CHANNELS
Keywords:
sector-shaped channel, non-zero shear stresses, isoperimetric problem, optimal parameter, fractional step method, velocity fields, fluid flow rates, general algorithm for solving the problem, graphical representations of the resultsAbstract
The article examines the laminar flow of an incompressible viscous fluid in an open channel with a sectoral cross‑section. The following conditions are imposed on the channel walls: the no‑slip condition; on the free surface — zero and non‑zero shear stresses. To solve the problem, a numerical method of fractional steps is used. The problem is formulated in isoperimetric form and is solved to determine the velocity field, fluid flow rate, and the optimal parameter for the cross‑sectional shape of the channel, given a constant wetted perimeter length. A general algorithm for solving the problem was developed, along with the corresponding implementation programs. The results were presented in the form of tables and graphical representations of the results. The relevant conclusions were drawn, and a comparative analysis was carried out based on the relative changes in the solution parameters.
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