Please use this identifier to cite or link to this item:
Type: Conference paper
Title: Analysis of a transient in a pipeline with a leak using Laplace transforms
Author: Wang, X.
Lambert, M.
Simpson, A.
Citation: Proceedings of the 14th Australasian Fluid Mechanics Conference, 9-14 December, 2001 / B.B. Dally (ed.): pp.933-936
Publisher: 14th Australasian Fluid Mechanics Conference, Dept Mechanical Engineering, Adelaide University
Publisher Place: Adelaide
Issue Date: 2001
Conference Name: Australasian Fluid Mechanics Conference (14th : 2001 : Adelaide, Australia)
Editor: Dally, B.
Statement of
X Wang, MF Lambert & AR Simpson
Abstract: A transient or water hammer event is initiated whenever a steady-state condition in a pipeline is disturbed either by a planned event or accidentally. When the transient reaches a leak, the transient will be reflected and transmitted, which results in a different transient event compared to the transient from the same pipeline without a leak. In a previous study, an analytical solution for the variation in hydraulic grade line (HGL)expressed in terms of a Fourier series has been obtained based on a pipeline with known initial conditions and constant boundary conditions. Based on the analytical solution, a leak detection method was developed previously using leak-induced transient damping. However, The Fourier series approach is not well suited to the case where the boundary conditions vary during the transient event. A Laplace transform solution approach overcomes this difficulty and is the focus of this paper. Normalized hyperbolic governing equations for a pressure transient in a pipeline with a leak are derived, where the discontinuity induced by a leak is considered by using a delta function. In addition the orifice-leak equation is linearized. The accuracy of the analytical solution has been verified by nonlinear numerical analyses using the method of characteristics. The effects of a leak on pipeline transients induced by a pulse boundary perturbation and a continuously changing boundary perturbation are investigated in detail.
Rights: © 2001 14th Australasian Fluid Mechanics Conference, Adelaide University
Published version:
Appears in Collections:Aurora harvest 2
Civil and Environmental Engineering publications
Environment Institute publications

Files in This Item:
File Description SizeFormat 
hdl_29192.pdfPublished version281.3 kBAdobe PDFView/Open
vers_hdl_29192.pdfVersion information36.15 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.