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TECHNICAL PAPERS

Behavior of Short Lateral Dead Ends on Pipeline Transients: A Lumped Parameter Model and an Analytical Solution

[+] Author and Article Information
Xiao-Jian Wang

 Tonkin Consulting, 5 Cooke Terrace, Wagville, SA 5041, Australiaxiao-jian.wang@tonkin.com.au

Martin F. Lambert, Angus R. Simpson

Center for applied modelling in Water Engineering (CAMWE) School of Civil and Environmental Engineering The University of Adelaide, Adelaide, SA 5005, Australia

J. Fluids Eng 127(3), 529-535 (Mar 01, 2005) (7 pages) doi:10.1115/1.1899171 History: Received April 07, 2004; Revised December 09, 2004; Accepted March 01, 2005

By integrating the continuity equation over a short lateral dead end, the effects of a short lateral dead end side branch on pipeline fluid transients can be lumped into a node. The analytical solution to a linearized equation shows that a pipeline transient can be expressed as a Fourier series and presence of a lateral dead end reduces the frequencies of the harmonic components. The impact of the lateral dead end on the observed transients depends on a parameter Sd, which is related to the location of the lateral dead end, the relative volume, and the wave speed of the lateral dead end with respect to the pipeline. A lumped parameter approach that can be incorporated into the method of characteristics has also been developed in this paper. It has been found that it is possible to take account of the effects of a short lateral dead end in an accurate and computational efficient manner.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 2

Comparison of the experimental periods (1) and the analytical results

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Figure 3

Influence of the lateral dead end location

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Figure 4

A single pipeline with a lateral dead end

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Figure 5

Effect of lateral dead end on a slow transient (MOC)

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Figure 6

Comparison of the lumped parameter (LP) model and analytical solution with the MOC for a slow transient

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Figure 7

Effects of lateral dead end on a fast transient event (a): 0<t*<10, (b): 30<t*<40

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Figure 8

Comparison of the lumped parameter (LP) model with the MOC for a faster transient (a): 0<t*<15, (b): 25<t*<40

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Figure 9

A pipeline with a lateral dead end

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Figure 1

A pipe section with a short lateral dead end

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