A Numerical Method for Solving the Equations of Hydraulics and of Nonlinear Electric DC Circuits


Sabdenov K.O.
January 2021Springer

Journal of Engineering Physics and Thermophysics
2021#94Issue 1179 - 185 pp.

The hydraulics equations are reduced to the form of the equations of nonlinear electric circuits by introducing hydraulic resistances, which are analogous to electric resistances. The hydraulic resistances depend on unknown discharges and are calculated from the discharges on the previous iteration. As a result, on the new iteration step it is possible to solve a system of linear equations, from which discharges on the iteration half-step are found. Discharges on the new iteration step are represented as linear combinations of discharges on the half-step and on the previous step. The possibilities of the method are shown using the example of a hydrosystem with two pumps and three flow governors.

hydraulic system , iteration method , numerical methods of hydraulics , pipeline

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L. N. Gumilev Eurasian National University, 2 Satpaev Str., Nur-Sultan, 010008, Kazakhstan

L. N. Gumilev Eurasian National University

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