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Computer Research and Modeling, 2009, Volume 1, Issue 2, Pages 173–179
DOI: https://doi.org/10.20537/2076-7633-2009-1-2-173-179 (Mi crm634) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Mathematical modelling of branched hydraulic systems

N. V. Kassina, L. V. Smirnov

Research Institute of Mechanics, N. I. Lobachevsky State University of Nizhni Novgorod, Gagarin Ave. 23/6, GSP-100, Nizhni Novgorod, 603600, Russia
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DOI: https://doi.org/10.20537/2076-7633-2009-1-2-173-179
Abstract: Solving the problem of stationary stream distribution for an arbitrary volume-free hydrosystem with a free level can be reduced to determining the extremes of a multi-variable function. Rayleigh function expressed in terms of the hydraulic characteristics of the parts of the system in question is used as such a function. The same function is Lyapunov function when analyzing the stability of the determined stationary operational modes of a hydrosystem using the direct Lyapunov method.
Keywords: hydraulic systems, Rayleigh function, Lyapunov function.
Received: 26.09.2008
Document Type: Article
Language: Russian
Citation: N. V. Kassina, L. V. Smirnov, “Mathematical modelling of branched hydraulic systems”, Computer Research and Modeling, 1:2 (2009), 173–179
Citation in format AMSBIB
\Bibitem{KasSmi09}
\by N.~V.~Kassina, L.~V.~Smirnov
\paper Mathematical modelling of branched hydraulic systems
\jour Computer Research and Modeling
\yr 2009
\vol 1
\issue 2
\pages 173--179
\mathnet{http://mi.mathnet.ru/crm634}
\crossref{https://doi.org/10.20537/2076-7633-2009-1-2-173-179}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Computer Research and Modeling
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