| Issue |
E3S Web Conf.
Volume 371, 2023
International Scientific Conference “Fundamental and Applied Scientific Research in the Development of Agriculture in the Far East” (AFE-2022)
|
|
|---|---|---|
| Article Number | 06004 | |
| Number of page(s) | 7 | |
| Section | Sustainable Territorial Development | |
| DOI | https://doi.org/10.1051/e3sconf/202337106004 | |
| Published online | 28 February 2023 | |
Analytical solution to the problem of fluid outflow from an axisymmetric channel
Tashkent State Technical University named after Islam Karimov, University Str.2, 100174, Tashkent, Uzbekistan
* Corresponding author: mukhiddinkhudjaev@gmail.com
The subject of the study is the outflow of fluid from a channel consisting of segments with different geometries used to improve thermal and hydraulic characteristics. Research methods are based on Newton's rheological law; the continuity equation and the Navier-Stokes equation, which are the basic equations of fluid flow; the method of mathematical modeling and the analytical method of its solutions. In the article, generalized formulas for determining the hydrodynamic characteristics of a fluid flow in axisymmetric channels are obtained. As an example, analytical expressions for the pressure and average flow velocity are obtained when fluid flows out of a cylindrical channel of a constant cross section and from a channel of a hyperbolic form. In perspective, by introducing an arbitrary arithmetic expression of the axisymmetric section of the channel, it is possible to determine the hydrodynamic characteristics of the flow.
© The Authors, published by EDP Sciences, 2023
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