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Research Papers: Flows in Complex Systems

An Efficient Quasi-2D Simulation of Waterhammer in Complex Pipe Systems

[+] Author and Article Information
Huan-Feng Duan

Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Hong Kong, SAR Chinaceduan@ust.hk

Mohamed S. Ghidaoui

Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Hong Kong, SAR Chinaghidaoui@ust.hk

Yeou-Koung Tung

Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Hong Kong, SAR Chinacetung@ust.hk

J. Fluids Eng 131(8), 081105 (Jul 24, 2009) (9 pages) doi:10.1115/1.3176978 History: Received September 24, 2008; Revised June 19, 2009; Published July 24, 2009

An efficient quasi-2D numerical waterhammer model for turbulent waterhammer flows has been previously developed for a single pipe system (reservoir-pipe-valve system). Basic boundary conditions, such as valves, reservoirs, and external flows, were also implemented. This paper extends this previously developed efficient scheme to a general model for a multipipe system. More specifically, an approach for matching the family of characteristic equations in each pipe at a junction of two or more pipes is proposed. In addition, the numerical stability conditions of the efficient scheme are investigated using the Von Neumann method. The resulting model is verified against experimental data and then applied to different complex systems involving pipes in series, branching, and network. Using this model, the effects of unsteady friction in complex pipe systems are examined and analyzed in this paper. From the case studies, it is found that the quasi-2D model is highly efficient, robust, and suitable for application to waterhammer problems in real complex pipe system.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Grid system for MOC solution

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Figure 2

Series junction system

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Figure 3

Branch junction system

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Figure 4

Interpolation scheme of specified time interval

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Figure 5

Piezometric head for case A1

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Figure 6

Piezometric head for case G4

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Figure 7

Systems for the three test cases

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Figure 8

Pressure head traces at the node (1) for case T1

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Figure 9

Pressure head traces at the node (2) caseT2

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Figure 10

Pressure head traces at the node (5) for case T3

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Figure 11

Difference of pressure head peak at valve by 1D and 2D models

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Figure 12

Flowrate versus time nearby the valve for the three cases

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