Optimal design of tree-shaped water distribution network using constructal approach: T-shaped and Y-shaped architectures optimization and comparison

Azoumah, Y.; Bieupoude, P.; Neveu, Pierre

doi:10.1016/j.icheatmasstransfer.2011.12.003

Cited by 20 publications

(5 citation statements)

References 22 publications

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“…Several scholars have worked on optimal network topology and pipe diameter as well as minimizing the total flow through all treatment plants in the network (Lavric et al 2007, Castro et al 2009, Azoumah et al 2012). …”

Section: Introductionmentioning

confidence: 99%

Exploring urban mines: pipe length and material stocks in urban water and wastewater networks

Pauliuk

Govindarajan

Brattebø

et al. 2013

Urban Water Journal

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ABSTRACT:Underground pipe networks for water distribution and wastewater transport represent large capital assets and material stocks. Understanding how the material content of these networks scales with the population and the size of a given catchment or city may show how one can design networks with lower resource demand and lower construction and maintenance costs. In this paper, we develop a fractal model of water/wastewater networks where the different levels represent the pipe hierarchy from the private connections to the main trunk lines. The model is calibrated and the total network length and mass for the wastewater networks of 25 cities of varying sizes (population, surface area) is estimated. The results show that most of the network mass is concentrated in the trunk lines. For a catchment of given size, both total network length and mass grow slower than population, thus demonstrating efficiency of scale in the network.

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Section: Introductionmentioning

confidence: 99%

Exploring urban mines: pipe length and material stocks in urban water and wastewater networks

Pauliuk

Govindarajan

Brattebø

et al. 2013

Urban Water Journal

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“…Another opportunity derived from WDN fractal features is facilitation of solving problems of WDN optimisation. Applying the tree-shaped fractal patterns to reflect WDN helps to find the best diameters scaling laws and optimal angles that minimise the total water head losses to the overall water residence time (Azoumah et al, 2012). Moreover, in the construction of WDN as a tree-shaped pattern, the method of exergy destruction minimisation is equivalent to minimising mechanical irreversibility under a water quality constraint (Bieupoude, et al, 2011).…”

Section: Applications Of Water Network Fractal Featuresmentioning

confidence: 99%

Fractal Geometry in Designing and Operating Water Networks

Iwanek¹,

Kowalski²,

Kowalska³

et al. 2020

J. Ecol. Eng.

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Fractals are self-similar sets that cannot be easily described by classical geometry. Fractal sets have been implemented in almost all areas of human activity since they were introduced to science by Mandelbrot in 1982. For the last 10 years, the interest in fractal geometry has increased by the issues connected with water distribution networks (WDNs). The aim of this paper was to review the application of fractal geometry in designing and operating WDNs. Treating a WDN as a fractal pattern enables its description and classification, simplifies the assessment of a network reliability, helps to solve the problems of routing and dimensioning WDN, as well as enables to select the places to locate measurement points in a network to control water quality, pressure in pipes and water flow rate. Moreover, the application of tree-shaped fractal patterns to reflect WDNs helps to solve the problems of their optimization. Fractal geometry can be also applied to investigate the results of WDNs failures connected with leakage of water to the ground. Using fractal dimension of a pattern created by points reflecting places of water outflow on the soil surface after a prospective pipe breakage enables to determine the zone near a pipe, where the outflow of water on the soil surface is possible. It is an important approach for the security of humans and existing infrastructure. Usage of fractal geometry in description, optimisation and operation analysis of WDNs still continues, which confirms the efficiency of fractal geometry as a research tool. On the other hand, it can be supposed that fractal geometry possibilities have still not been fully used.

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“…The nonstop development of technology requires better cooling techniques and requests than enhanced heat transfer attributes. The studies on heat and mass transfer problems are also the hotspots in the heat transfer arena [10][11][12]. Bejan [13] studied the entropy generation minimizations [14] for the problems of heat and mass transfer and showed the classic uses in the intensive fields of thermal energy storage, heat transfer and mass transfer.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation in MHD Conjugate Flow with Wall Shear Stress over an Infinite Plate: Exact Analysis

Khan

Karim

Khan

et al. 2019

Entropy

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The current work will describe the entropy generation in an unsteady magnetohydrodynamic (MHD) flow with a combined influence of mass and heat transfer through a porous medium. It will consider the flow in the XY plane and the plate with isothermal and ramped wall temperature. The wall shear stress is also considered. The influences of different pertinent parameters on velocity, the Bejan number and on the total entropy generation number are reported graphically. Entropy generation in the fluid is controlled and reduced on the boundary by using wall shear stress. It is observed in this paper that by taking suitable values of pertinent parameters, the energy losses in the system can be minimized. These parameters are the Schmitt number, mass diffusion parameter, Prandtl number, Grashof number, magnetic parameter and modified Grashof number. These results will play an important role in the heat flow of uncertainty and must, therefore, be controlled and managed effectively.

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Optimal design of tree-shaped water distribution network using constructal approach: T-shaped and Y-shaped architectures optimization and comparison

Cited by 20 publications

References 22 publications

Exploring urban mines: pipe length and material stocks in urban water and wastewater networks

Exploring urban mines: pipe length and material stocks in urban water and wastewater networks

Fractal Geometry in Designing and Operating Water Networks

Entropy Generation in MHD Conjugate Flow with Wall Shear Stress over an Infinite Plate: Exact Analysis

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