| Issue |
MATEC Web Conf.
Volume 383, 2023
22nd Conference on Power System Engineering
|
|
|---|---|---|
| Article Number | 00008 | |
| Number of page(s) | 10 | |
| DOI | https://doi.org/10.1051/matecconf/202338300008 | |
| Published online | 20 October 2023 | |
Stability of the Stationary Flow of an Incompressible Liquid
Brno University of Technology, Energy Institute, Victor Kaplan Department of Fluids Engineering, Technická 2896/2, Brno, Czech Republic
* Corresponding author: fialova@fme.vutbr.cz
The work presents four methods for assessing the stability of stationary vortex structures in multiple continuous regions. First one is based on linearized Navier - Stokes equations using modal analysis. The second method considers non-linear equations and is focused on the stability of the stationary flow at the inner point of the region. The third method is focused on the qualitative analysis of the dependence of an input power, performance and dissipation function. The fourth method is based on the analysis of the potential energy of the flowing liquid. Each of the mentioned methods will be described by a mathematical model, from which it will be possible to assess the influence of boundary conditions and the shape of the area on the mentioned stability.
© 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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