| Issue |
E3S Web Conf.
Volume 102, 2019
Mathematical Models and Methods of the Analysis and Optimal Synthesis of the Developing Pipeline and Hydraulic Systems 2019
|
|
|---|---|---|
| Article Number | 01004 | |
| Number of page(s) | 9 | |
| Section | Methods of Analysis of Pipeline Systems | |
| DOI | https://doi.org/10.1051/e3sconf/201910201004 | |
| Published online | 14 June 2019 | |
Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations
PSRE Co, Moscow, Russia
* Corresponding author: korelstein@truboprovod.ru
Existence, uniqueness and monotonic behavior of the solution of classical flow distribution problem for hydraulic networks with pressure-dependent closure relations was proved. The closure relation can have very general form, restricted only by continuity and monotonicity conditions necessary for providing existence, uniqueness and continuity of flow distribution problem for each branch. It is shown that network as a whole “inherits” monotonicity and continuity of its branches behavior, and this provides existence and uniqueness of solution.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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