TECHNICAL PAPERS
Feb 1, 1989

Methods for Analyzing Pipe Networks

Publication: Journal of Hydraulic Engineering
Volume 115, Issue 2

Abstract

The governing equations for a general network are first set up and then reformulated in terms of matrices. This is developed to show that the choice of model for the flow equations is essential for the behavior of the iterative method used to solve the problem. It is shown that it is better to formulate the flow equations in terms of pipe discharges than in terms of energy heads. The behavior of some iterative methods is compared in the initial phase with large errors. It is explained why the linear theory method oscillates when the iteration gets close to the solution, and it is further demonstrated that this method offers good starting values for a Newton‐Raphson iteration.

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References

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Edwin, K. W., and Braun, H. (1981). “Lastfluprechnung in vermaschten Fernwärmenetzen.” Fernwarme International, FWI, Jg.15, 27–33.
2.
Hansen, C. T. (1988). “Optimization of large networks for natural gas,” thesis presented to the Institute of Numerical Analysis, Technical University of Denmark, at Lyngby, Denmark, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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Isaacs, L. T., and Mills, K. G. (1980). “Linear theory methods for pipe network analysis.” J. Hydr. Div., ASCE, 106(HY7), 1191–1201.
4.
Nielsen, H. B., (1987). “An efficient method for analyzing pipe networks.” Report No. 362, DCAMM, Technical University of Denmark, Lyngby, Denmark.
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Streeter, V. L., and Wylie, E. B. (1979). Fluid mechanics. McGraw‐Hill, Tokyo, Japan.
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Vallaster, W. B., Burchard, H. G., and Sasscer, E. P. (1985). “Nonlinear least squares applied to liquid piping design.” Proc., 60th Annual Tech. Conf. SPE, Las Vegas, Nev.
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Wood, D. J., and Charles, C. O. A. (1972). “Hydraulic network analysis using linear theory.” J. Hydr. Div., ASCE, 98(HY7), 1157–1170.
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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 115Issue 2February 1989
Pages: 139 - 157

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Published online: Feb 1, 1989
Published in print: Feb 1989

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Hans Bruun Nielsen
Assoc. Prof., Inst. for Numerical Analysis, Tech. Univ. of Denmark, Lyngby, Denmark

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