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Water 2018, 10(6), 763; https://doi.org/10.3390/w10060763

# Calculating the Economic Level of Friction in Pressurized Water Systems

ITA, Dpto. Ingeniería Hidráulica y Medio Ambiente, Universitat Politècnica de València, 46022 Valencia, Spain
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Received: 19 April 2018 / Revised: 6 June 2018 / Accepted: 8 June 2018 / Published: 11 June 2018

# Abstract

In this paper, an algebraic expression is presented to determine the optimum hydraulic gradient (J0) in a pressurized water system. J0 represents the economic level of friction losses (ELF), which is dependent on the network’s behavior as well as other parameters, including energy and the pipe costs. As these have prices changed over time, so has the value of J0. The network-related parameter was obtained from the total costs function and the sum of the operational and capital expenditures. Because these costs exhibited an opposite trend from J, a minimum total cost exists, specifically, J0. The algebraic expression, which was derived from the mathematical model of the network, was first calculated for the network’s steady state flow and was later generalized for application to a dynamic one. For a network operating in a given context, J0 was fairly stable in terms of dynamic flow variations, providing valuable information. The first piece of information was the ELF itself, which indicated the energy efficiency of the system from the perspective of friction loss. The second indicated which pipes required renewal from a similar perspective. Thirdly, it provided a simple criterion to calculate the diameter of new pipes. Finally, as J0 can be easily updated, when predictions are performed at the network’s designed time fail (e.g., growing urban trends, demand evolution, etc.), decisions can also be updated. View Full-Text
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

MDPI and ACS Style

Cabrera, E.; Gómez, E.; Cabrera, E., Jr.; Soriano, J. Calculating the Economic Level of Friction in Pressurized Water Systems. Water 2018, 10, 763.

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

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