Dynamic Programming Over a Graph Modeling Framework for the Optimal Design of Pipe Series in Sewer Systems

Duque, Natalia; Duque, Daniel; Saldarriaga, Juan

doi:10.1016/j.proeng.2017.03.208

Cited by 3 publications

(6 citation statements)

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“…The solution of sewer network optimization problems requires determination of pipe diameters, flow rate and pipe slopes [1,16]. Finding an optimal least-cost design of sewer networks is difficult because of numerous complex hydraulic and engineering constraints that lead to nonlinear equations [6,7]. Moreover, the size of sewer networks is generally large, therefore, leading to large scale optimization problem which is generally difficult to solve [1].…”

Section: Methodsmentioning

confidence: 99%

“…Chen, et al, 2013 [7], suggested a CFD Modelling approach for municipal sewer system design optimization to minimize emissions into receiving water body. He used the CFD model that assisted in design optimization of a municipal sewage system providing detailed flow fields inside of the system and CFD techniques of the renormalized group (RNG) k-ε turbulence model and the VOF free surface model.…”

Section: Cfd Modelsmentioning

confidence: 99%

“…It also suggests that a minimum gradient should be achieved for a specific diameter. As a result, some old sewers do not meet the modern requirements for self-cleansing that result to high blockages [7].…”

Section: Introductionmentioning

confidence: 99%

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An Application of Computational Fluid Dynamics to Optimize Municipal Sewage Networks; A Case of Tororo Municipality, Eastern Uganda.

Noah

Masanja

Nampala

et al. 2020

JAM

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Two-phase pipe ﬂow is a common occurrence in many industrial applications such as sewage, water, oil, and gas transportation. Accurate prediction of liquid velocity, holdup and pressure drop is of vast importance to ensure eﬀective design and operation of ﬂuid transport systems. This paper aimed at the simulation of a two-phase ﬂow of air and sewage (water) using an open source software OpenFOAM. Numerical Simulations have been performed using varying dimensions of pipes as well as their inclinations. Specifically, a Standard k- turbulence model and the Volume of Fluid (VOF) free water surface model is used to solve the turbulent mixture flow of air and sewage (water). A two dimensional, 0.5m diameter pipe of 20m length is used for the CFD approach based on the Navier-Stokes equations. Results showed that the ﬂow pattern behaviour is influenced by the pipe diameters as well as their inclination. It is concluded that the most effective way to optimize a sewer network system for Tororo Municipality conditions and other similar situations, is by adjusting sewer diameters and slope gradients and expanding the number of sewer network connections of household and industries from 535 (i.e., 31.2% of total) to at least 1,200 (70% of total).

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Section: Methodsmentioning

confidence: 99%

Section: Cfd Modelsmentioning

confidence: 99%

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An Application of Computational Fluid Dynamics to Optimize Municipal Sewage Networks; A Case of Tororo Municipality, Eastern Uganda.

Noah

Masanja

Nampala

et al. 2020

JAM

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“…Based on the annual cost objective function for the branch and trunk pipes in the i-th pipe section in the aforementioned sewage collection pipe network, the annual cost objective function of the whole sewage collection pipe network can be constructed as [11]:…”

Section: Annual Cost Objective Function For the Whole Sewage Collecti...mentioning

confidence: 99%

“…Equation (11) can also be converted into the expression for the decision variable D ijk according to Equations ( 2) and (3).…”

Section: Coupling Constraintsmentioning

confidence: 99%

Study on Optimal Design Method of Urban Sewage Collection Network Layout

Tian¹,

He²

2022

Pol. J. Environ. Stud.

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It is important to optimize the design of urban sewage collection pipe networks. In this study, we established a nonlinear programming mathematical model by considering the undetermined engineering system for an urban sewage collection pipe network scheme as the research subject. The model treats the minimum total annual cost of sewage collection pipe networks as the objective function, the head loss at the head and end of the branch and trunk pipes belonging to the trunk pipe section as the coupling constraint, the longitudinal slope of the pipe section, pipe economic flow rate, and optional standard pipe diameter of the division pipe section as the feasible region constraints on the decision variables, and the line scheme for the pipe networks and diameter of the division pipe section as decision variables. We developed an optimization method by combining orthogonal test-based line selection and the decomposition-dynamic programming aggregation method for the large diameter pipe system, which treats the branch and trunk pipes belonging to the trunk pipe section as the test factor, and the line scheme for the branch and trunk pipes belonging to the trunk pipe section as the test level. We considered the regional sewage collection pipe network in Taizhou city as an example to conduct a comparative analysis and verified that the proposed optimization method can solve this type of large system optimization problem rapidly and accurately, thereby providing a theoretical reference for optimizing the design of urban rainwater drainage pipe networks.

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