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Application of Substitution Theorem for Reorganization of a Water Distribution Network

Author(s): Raman Balireddy; Anjan Chakravorty; S. Murty Bhallamudi; Soumendranath Kuiry

Linked Author(s): S. Murty Bhallamudi

Keywords: Water distribution network; Substitution theorem; Network reorganization; Pipe diameter optimization

Abstract: The population in urban areas has been increasing exponentially in recent years. Catering water demand to the increasing urban population through the existing water distribution networks (WDNs) is becoming difficult. It is costly to replace the entire existing WDNs with a new one in order to serve the expanded urban areas. The working life of pipelines and other hydraulic components is 60–120 years, which is much more than the design period of the WDNs which varies from 20 to 40 years. Therefore, reorganizing the existing WDNs is a more economical solution for the growing demands, especially in developing economies. Adding pumping plants and parallel pipelines to enhance the delivery capacity of the existing system to cater to the increased discharge and analyzing the corresponding head loss comes under the reorganization process of a WDN. It also deals with the inclusion of additional demand nodes, pipe links and additional input source points at predetermined locations (nodes) to augment the increased system demand. In this work, the substitution theorem from the electric circuit theory is used for calculating the optimal diameter of a pipe that is being used to connect the main and sub-networks to transfer certain additional demands. The main advantage of this method is that one can calculate the pipe diameter of the connecting pipe in a single step without the need for the traditionally used iterative procedure. In addition, the diameter obtained by the application of the substitution theorem ensures the transfer of maximum power from

DOI: https://doi.org/10.1007/978-981-97-6009-1_14

Year: 2022

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