E3S Web Conf.
Volume 219, 2020Mathematical Models and Methods of the Analysis and Optimal Synthesis of the Developing Pipeline and Hydraulic Systems 2020
|Number of page(s)||8|
|Section||Methods of Analysis of Pipeline Systems|
|Published online||15 December 2020|
Mathematical models and methods for analyzing flow properties in hydraulic circuits with closed circulation circuits
Melentiev Energy Systems Institute of Siberian branch of Russian Academy of Science (ESI SB RAS), department of pipeline and hydraulic systems, Lermontov street 130, Irkutsk, Russia, 664033
* Corresponding author: firstname.lastname@example.org.
The article is devoted to the problems of calculating the distribution of flow quality parameters over the elements of the hydraulic system. The main attention is paid to the problem of such a calculation in the presence of closed circulation circuits in the system, when traditional methods and algorithms become ineffective. Mathematical models of the distribution of quality parameters are given, the results of the analysis of their properties in the presence of closed circulation circuits are presented. Against the background of the analysis of the applicability of general mathematical methods for solving the problem, two new methods are proposed based on the special properties of this problem - the “iterative topological” algorithm and the “algebraic-topological” method. Both methods are universal and provide a solution in the presence of closed circulation loops, and in their absence they coincide with the traditional “topological” algorithm.
© The Authors, published by EDP Sciences, 2020
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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