Abstract
This study introduces a new formulation for hydraulic analysis and design of looped pipe networks. The network is partitioned into two sub-graphs so-called the base and the remainders graphs. The base graph is a spanning tree of the network and, the remainders graph includes pipes hypothetically removed from the network to open the loops. The network governing equations of mass and energy conservation are manipulated so that, pipe flows in the remainders and head losses in the base graph are considered as independent variables to calculate pipe diameters directly. The method is applied to two example networks and the results are discussed. The new approach is found to be computationally efficient and useful for design and optimization of pipe networks.
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