An Analytical Solution for the Hydraulics of Looped Pipe Networks

This study introduces an analytical solution for the hydraulic analysis of looped water distribution networks (WDNs). Conventional approaches to solving ∆Q equations for looped water discharge correction entail iterative hydraulic analysis to compute the system pipe flows, velocities, and nodal pres...

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Main Authors: Mohammad Mehdi Riyahi, Amin E. Bakhshipour, Carlo Giudicianni, Ulrich Dittmer, Ali Haghighi, Enrico Creaco
Format: Article
Language:English
Published: MDPI AG 2024-08-01
Series:Engineering Proceedings
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Online Access:https://www.mdpi.com/2673-4591/69/1/4
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author Mohammad Mehdi Riyahi
Amin E. Bakhshipour
Carlo Giudicianni
Ulrich Dittmer
Ali Haghighi
Enrico Creaco
author_facet Mohammad Mehdi Riyahi
Amin E. Bakhshipour
Carlo Giudicianni
Ulrich Dittmer
Ali Haghighi
Enrico Creaco
author_sort Mohammad Mehdi Riyahi
collection DOAJ
description This study introduces an analytical solution for the hydraulic analysis of looped water distribution networks (WDNs). Conventional approaches to solving ∆Q equations for looped water discharge correction entail iterative hydraulic analysis to compute the system pipe flows, velocities, and nodal pressures. In contrast, using the proposed analytical approach, the ∆Q equation is solved with the exact flow directions determined, consolidating known flow directions into a single unknown variable (∆Q) for each loop. Comparative analyses prove that this approach can precisely compute the hydraulic properties of WDNs. Finally, a Z-test hypothesis test is applied to assess the efficacy of the modified shortest-path algorithm. The results show that this algorithm attains an average accuracy of 90% in predicting exact flow directions, with a confidence level of 99%.
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issn 2673-4591
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series Engineering Proceedings
spelling doaj-art-d7b094774e034f0a8ba80e6c02dbd3da2025-08-20T03:43:33ZengMDPI AGEngineering Proceedings2673-45912024-08-01691410.3390/engproc2024069004An Analytical Solution for the Hydraulics of Looped Pipe NetworksMohammad Mehdi Riyahi0Amin E. Bakhshipour1Carlo Giudicianni2Ulrich Dittmer3Ali Haghighi4Enrico Creaco5Faculty of Civil Engineering and Architecture, Shahid Chamran University of Ahvaz, Ahvaz 61357-83151, IranDepartment of Urban Water Management, RPTU in Kaiserslautern, Paul-Ehrlich-Straße 14, D-67663 Kaiserslautern, GermanyDipartimento di Ingegneria Civile e Architettura, Università degli Studi di Pavia, Via Ferrata 3, 27100 Pavia, ItalyDepartment of Urban Water Management, RPTU in Kaiserslautern, Paul-Ehrlich-Straße 14, D-67663 Kaiserslautern, GermanyFaculty of Civil Engineering and Architecture, Shahid Chamran University of Ahvaz, Ahvaz 61357-83151, IranDipartimento di Ingegneria Civile e Architettura, Università degli Studi di Pavia, Via Ferrata 3, 27100 Pavia, ItalyThis study introduces an analytical solution for the hydraulic analysis of looped water distribution networks (WDNs). Conventional approaches to solving ∆Q equations for looped water discharge correction entail iterative hydraulic analysis to compute the system pipe flows, velocities, and nodal pressures. In contrast, using the proposed analytical approach, the ∆Q equation is solved with the exact flow directions determined, consolidating known flow directions into a single unknown variable (∆Q) for each loop. Comparative analyses prove that this approach can precisely compute the hydraulic properties of WDNs. Finally, a Z-test hypothesis test is applied to assess the efficacy of the modified shortest-path algorithm. The results show that this algorithm attains an average accuracy of 90% in predicting exact flow directions, with a confidence level of 99%.https://www.mdpi.com/2673-4591/69/1/4water distribution networksshortest pathanalytical solution
spellingShingle Mohammad Mehdi Riyahi
Amin E. Bakhshipour
Carlo Giudicianni
Ulrich Dittmer
Ali Haghighi
Enrico Creaco
An Analytical Solution for the Hydraulics of Looped Pipe Networks
Engineering Proceedings
water distribution networks
shortest path
analytical solution
title An Analytical Solution for the Hydraulics of Looped Pipe Networks
title_full An Analytical Solution for the Hydraulics of Looped Pipe Networks
title_fullStr An Analytical Solution for the Hydraulics of Looped Pipe Networks
title_full_unstemmed An Analytical Solution for the Hydraulics of Looped Pipe Networks
title_short An Analytical Solution for the Hydraulics of Looped Pipe Networks
title_sort analytical solution for the hydraulics of looped pipe networks
topic water distribution networks
shortest path
analytical solution
url https://www.mdpi.com/2673-4591/69/1/4
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