| Issue |
E3S Web Conf.
Volume 376, 2023
International Scientific and Practical Conference “Environmental Risks and Safety in Mechanical Engineering” (ERSME-2023)
|
|
|---|---|---|
| Article Number | 01099 | |
| Number of page(s) | 10 | |
| Section | I Environmental Risks and Safety in Mechanical Engineering | |
| DOI | https://doi.org/10.1051/e3sconf/202337601099 | |
| Published online | 31 March 2023 | |
Mathematical model of fluid flow along a straight through filled with a distributed flow from above
1 Moscow Aviation Institute (National Research University), 4, Wolokolamskoe shosse, 125993 Moscow, Russia
2 Moscow State University of Civil Engineering, 26, Yaroslavskoe shosse, 129337 Moscow, Russia
* Corresponding author: yurideniskin@gmail.com
In a one-dimensional approximation and in the absence of friction forces, a mathematical model has been developed for the steady flow of an incompressible fluid along a straight line, for example, a drainage gutter, into which a distributed flow flows from above. The boundary condition missing for solving the system of equations of momentum and continuity is determined using the principle of minimum potential energy. For a rectangular chute, equations are obtained that allow one to calculate the distributions of the layer thickness and fluid velocity along the length of the chute with a plug at one end and without a plug, slope and without slope to the horizon, depending on the intensity of the incoming flow, the size of the chute, and the density of the liquid. This model, by means of a simple recalculation, can also be extended to the flow in a trough of a different cross-sectional profile. The results of the study can be applied to the calculation of external drainage systems.
Key words: mathematical model / fluid / flow / chute / rectangular chute / momentum equation / continuity equation / fluid flow rate / fluid flow velocity
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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