Mathematical modelling of branched hydraulic systems

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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
Citation in English: Kassina N.V., Smirnov L.V. Mathematical modelling of branched hydraulic systems // Computer Research and Modeling, 2009, vol. 1, no. 2, pp. 173-179
Citation in English: Kassina N.V., Smirnov L.V. Mathematical modelling of branched hydraulic systems // Computer Research and Modeling, 2009, vol. 1, no. 2, pp. 173-179
DOI: 10.20537/2076-7633-2009-1-2-173-179
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