Abstract

The basic concepts from a hydraulic and mathematical point of view were introduced to describe the operation of a hydraulic branched network of water distribution. Moreover, each one of the elements (simples and complex) of the system was identified. Classic hydraulic equations were inputted to apply them to branched networks and obtain a standard solution. A set of linear and non-linear equations, through the Newton–Raphson method with the jacobian matrix were required to solve the branched network that interconnects two kinds of very different pumps: a volute type centrifugal pump and another one is submersible pump, both of them installed in a deep well. The system is a branched network with two nodes and five pipe lines, to adequately supply two pressure irrigation systems: a central pivot and a semi-portable sprinkler, where the pumps are located in different places and heights. The solution was obtained by solving a system of two linear equations and three non-linear, simultaneously.

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