Linear model of water movements for large-scale inverted siphon in water distribution system

This paper proposes a linear model that relates the pressure head variations at the downstream end of an inverted siphon to the flow rate variations at two ends. It divides the pressure head variations in the inverted siphon into low-frequency part and high-frequency part. The two parts are caused b...

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Bibliographic Details
Published in:Journal of hydroinformatics 2019-11, Vol.21 (6), p.1048-1063
Main Authors: Zhonghao, Mao, Guanghua, Guan, Zhonghua, Yang, Ke, Zhong
Format: Article
Language:English
Subjects:
Acoustic waves
Acoustics
Canals
Civil engineering
Computer simulation
Control algorithms
Controllers
Deformation
Deformation mechanisms
Design
Finite volume method
Flow rates
Flow velocity
Hydraulics
Irrigation
Pressure
Pressure distribution
Pressure head
Pressurized flow
Simulation
Steel pipes
Tunnels
Variation
Water delivery
Water distribution
Water distribution systems
Water engineering
Water motion
Wave reflection
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Summary:This paper proposes a linear model that relates the pressure head variations at the downstream end of an inverted siphon to the flow rate variations at two ends. It divides the pressure head variations in the inverted siphon into low-frequency part and high-frequency part. The two parts are caused by the deformation of the siphon wall and the reflection of acoustic wave, respectively. In order to build a simplified relation between wall deformation and low-frequency pressure head variations, the Preissmann slot method (PSM) is adopted in this paper. The linear model can also be used in other forms of structures, such as pipes and tunnels, where a pressurized flow condition is present. In comparison with simulation results using the finite volume method, the linear model shows an L2 norm of 0.177 for a large-scale inverted siphon and 0.044 for a PVC pipe. To this end, the linear model is adopted to model a large-scale inverted siphon in a virtual water delivery system. Simulation results show that the inverted siphon can reduce water fluctuations. An equation to quantify this effect is proposed based on the linear model.
ISSN:1464-7141
1465-1734
DOI:10.2166/hydro.2019.053