Open AccessReduced mathematical model of the flow in a deep extended natural channel
Author(s) -
K. A. Nadolin
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1847/1/012042
Subject(s) - flow (mathematics) , channel (broadcasting) , constant (computer programming) , open channel flow , mechanics , function (biology) , sequence (biology) , section (typography) , cross section (physics) , viscosity , mathematical model , mathematics , geometry , calculus (dental) , mathematical analysis , computer science , physics , thermodynamics , telecommunications , chemistry , statistics , medicine , biochemistry , dentistry , evolutionary biology , biology , programming language , operating system , quantum mechanics
A slightly curved open stationary channel flow is considered. It is assumed that the flow bed is given by a sufficiently smooth function, and the flow itself is long and deep, i.e. the length of the section under consideration is much longer than its width and depth, which, in turn, have similar dimensions. Using the previously developed technique for obtaining reduced mathematical models for channel flows, it is possible, at constant viscosity, to reduce the solution of a complex three-dimensional problem to solving a sequence of standard two-dimensional problems on cross-sections.